mems electrostatic double t-shaped spring mechanism for...
TRANSCRIPT
JMEMS-2012-0188.Final
1
Abstract—A novel microelectromechanical systems (MEMS)
based micro-scanner is developed with the ultimate goal of
integrating it into an endoscopic probe for use in clinical
investigations. Micro-assembly technology is utilized to construct
this device, which consists of an electrostatic based micro-
actuator and a pyramidal polygonal micro-reflector. A two-stage
double T-shaped spring beam system is introduced to the
actuator for displacement amplification, and as well for motion
transfer from the translational movement of the in-plane comb
drives to the rotation of the central ring-shaped holder.
Meanwhile, an eight-slanted-facet-highly-reflective pyramidal
polygonal micro-reflector is developed using high precision
diamond turning and soft lithography technologies. This reflector
design requires only a small mechanical rotational angle to
achieve full circumferential scanning. This MEMS device is
developed with the goal of integrating it into an OCT probe that
could provide an alternative for endoscopic optical coherence
tomography (EOCT) applications that would have advantages of
circumferential imaging capability, fast scanning speed, and low
operational power consumption.
Index Terms — Microelectromechanical systems, optical
coherence tomography, two-stage double T-shaped spring
system, pyramidal polygon micro-reflector, soft lithography, full
circumferential scanning
I. INTRODUCTION
PTICAL coherence tomography (OCT) is a promising
technique for its cellular or even sub-cellular resolution
(1-10 μm) [1] cross-sectional imaging of biological tissues,
which is considered suitable for early detection and diagnosis
of cancerous growth. For some clinic applications, for
example, intravascular or gastrointestinal investigation, organs
normally have tubular shapes. In order to reduce sampling
errors, the whole cross-sectional images of the tubular organ
need to be captured, thus full circumferential scanning (FCS)
is highly desired. Early research efforts on FCS such as
Manuscript received Jun 9, 2012. This work was supported by the
Singapore Ministry of Education (MOE) Academic Research Fund under
Grant R-265-000-416-112.
X. Mu is with the National University of Singapore, Singapore 117576,
and also with the Institute of Microelectronics, Agency of Science,
Technology, and Research (A*STAR), Singapore (e-
mail:[email protected]).
G. Zhou, Dennis W. K. Neo, A.S. Kumar and F. S. Chau are with the
National University of Singapore, Singapore 117576 (e-mail:
H. Yu and M. Tsai are with the Institute of Microelectronics, Agency for
Science, Technology, and Research (A*STAR), Singapore 117685.
proximal catheter actuation [2] were capable of scanning at a
speed of around 4 revolutions per second albeit with nonlinear
motion due to physical inertia, friction and compliance of the
device. Commercially- available micro-motors have also been
employed to spin mirrors or prisms to achieve FCS [3-6].
In recent times, MEMS technology [6-22] has demonstrated
strong potential in biomedical imaging applications due to its
outstanding advantages of small size, fast scanning speed and
convenience of batch fabrication. The recent development of a
dual reflective MEMS micromirror based on bimorph
actuators has further enriched and extended the MEMS
technology for FCS in clinical applications [18, 19].
The MEMS integrated OCT probes normally utilize fibers
and GRIN lenses to transmit and focus, and MEMS micro-
mirrors to deflect the incident light beams, respectively. The
image of a certain small tissue area can be detected and
reconstructed three-dimensionally by mirror rotational
scanning about the x and y axes respectively. Although it is
convenient to realize the probe miniaturization by this
configuration, the restricted scanning area makes it unsuitable
for intravascular applications. In order to realize FCS scan, we
have earlier proposed a compact four-pieces-in-one fiber-
pigtail GRIN lens bundle EOCT probe [20]. This proposed
configuration utilized multiple parallel incident light beams to
drastically reduce the required mechanical rotation angle of
the scanning mirror to achieve 360-degree circumferential
scanning with only minimal increase in package size. The core
light-scanning component placed at the distal side of the
endoscopic probe is a pyramidal polygonal micro-reflector
with four-highly reflective- slanted facets actuated by MEMS
chevron-beam electrothermal micro-actuators. This MEMS
platform is orientated perpendicularly to the incident light
beams. Although a large scanning range can be realized by
chevron-beam micro-actuator, the high power consumption
makes its surface temperature too high to be compatible with
clinic medical bioimaging, a side-effect which had been
reported previously [23-34].
Based on the configuration of the EOCT probe we
developed before, we propose in this paper a MEMS micro-
scanner that is actuated by electrostatic means instead. This
MEMS device has the advantages of lower power
consumption and higher scanning speed while maintaining the
same scanning range of the previous design. One drawback of
electrostatic actuation based MEMS devices is the relatively
small scanning range due to its comb structure and working
principle [35-45]. To avoid this limitation, a two-stage double
T-shaped spring beam mechanism is introduced to convert
MEMS Electrostatic Double T-shaped Spring
Mechanism for Circumferential Scanning
Xiaojing Mu, Guangya Zhou, Hongbin Yu, Julius Ming-Lin Tsai, Dennis Wee Keong Neo, A Senthil
Kumar, Fook Siong Chau
O
This is the author's version of an article that has been published in this journal. Changes were made to this version by the publisher prior to publication.The final version of record is available athttp://dx.doi.org/10.1109/JMEMS.2013.2255115
Copyright (c) 2013 IEEE. Personal use is permitted. For any other purposes, permission must be obtained from the IEEE by emailing [email protected].
JMEMS-2012-0188.Final
2
relatively small translational movements of the comb drives
into a large rotational motion of the central suspended ring-
shaped holder. The two-stage structure (as shown in Fig. 1(b))
provides displacement/angular amplification relative to a
single-stage one. A pyramidal polygonal micro-reflector with
eight highly-reflective slanted facets is developed to further
lower the mechanical rotation angle required to realize full
circumferential scanning. Once the micro-reflector is driven to
rotate, a circumferential light scan will be realized. A
circumferential tissue image may be reconstructed by
recording the data from eight fiber optic “channels”
sequentially or simultaneously. This newly- proposed
configuration of an electrostatic MEMS micro-scanner based
probe not only features the advantages of the previous one
(compactness, small size and alleviation of the mirror
curvature issue induced by residual stresses that might exist in
traditional thin MEMS micro-mirrors), but also has a surface
temperature that makes it suitable for clinic in vivo
investigation and fast scanning capability.
This paper presents the theoretical modeling, structural
design and FEM simulation of the MEMS mechanism in
section II. Section III describes the detailed processes used to
fabricate the microactuators and pyramidal polygon micro-
reflector followed by the process of assembling these two
parts together. Section IV demonstrates the characterization of
this newly-developed device. Finally, the conclusions are
provided in Section V. An optical scan angle up to near-360°
and a rapid response time of 14 ms have been experimental
measured.
II. DEVICE DESIGN
A. Structure Design of Rotational Mechanism
Figure 1(a) shows the schematic of the proposed MEMS-
based micro-scanner. An electrostatic type MEMS-driven in-
plane rotational platform is the actuation part, which has two
lines of bidirectional-movable comb drives on the two sides
(Fig. 1(b)). A ring-shaped holder is suspended in the center by
a two-stage double T-shaped spring beams mechanism. In
order to realize light scanning, an eight-slanted-facet
pyramidal polygon micro-reflector is mounted on the ring-
shaped holder. The translational movement of the two lines of
comb drives in opposite directions results in the rotation of the
central suspended ring-shaped holder and thus realizes the
rotation of the pyramidal polygon micro-reflector. During
operation, the micro-reflector can be driven to rotate
clockwise and anti-clockwise by the electrostatic actuators. As
schematically shown in Fig. 1(c), mechanical rotation angle of
22.5° both in clockwise and anti-clockwise direction could
realize circumferential scanning (22.5°×2×8=360°) when eight
external laser beams are shining on the eight slanted facets of
the micro-reflector respectively at the same time.
(a)
(b)
(c)
Fig. 1. (a) Schematic of the proposed electrostatic MEMS micro-scanner
integrated OCT probe, (b) electrostatic in-plane rotational MEMS micro-
scanner, (c) the schematic for realizing full circumferential scan
Figure 2 shows the working principle of the two-stage
double T-shaped spring-beam mechanism electrostatic based
MEMS microactuator. It can be seen that the ring-shaped
holder is connected to a pair of electrostatic comb-drive
actuators (the movable fingers of which is suspended by the
folded-beam supporting structure) using a double T-shaped
two-stage beam mechanism. With this particular design, the
translational movement provided by the micro-actuator can be
eventually translated into rotation of the ring-shaped holder
about an equivalent pivot point. At the same time, compared
This is the author's version of an article that has been published in this journal. Changes were made to this version by the publisher prior to publication.The final version of record is available athttp://dx.doi.org/10.1109/JMEMS.2013.2255115
Copyright (c) 2013 IEEE. Personal use is permitted. For any other purposes, permission must be obtained from the IEEE by emailing [email protected].
JMEMS-2012-0188.Final
3
with direct connection, the first stage T-shaped beam
configuration (a and b), especially the vertically- arranged
beam (a) as shown in Fig. 2, can help to release the
deformation-induced stress at the anchor point of the
horizontal beam (b) as well as in the beam itself, thus
improving structure stability and reducing the undesired
nonlinear effect. The introduction of the second stage T-
shaped beam configuration (b and c) helps to translate and
amplify the deformation of the first stage T-shaped spring to
the spring c. When the driving voltage V1 is energized, whilst
keeping V2 zero, the ring-shaped holder will be actuated to
rotate counter-clockwise, and vice versa.
Fig. 2. Working principle of the MEMS micro-actuator
B. Theoretical Study of the Two-stage Double T-shaped
Spring Mechanism
(a)
(b)
Fig. 3. Simplified model for the two-stage double T-shaped beam spring
mechanism of (a) the Whole system and (b) the Individual components
Figure 3(a) shows the simplified model of the two-stage
double T-shaped beam mechanism together with the ring-
shaped holder, in which the holder is treated as a rigid body
with only rotational degree of freedom. When an external
force F is applied onto this T-shaped beam mechanism, the
free-body diagrams of each component can be schematically
drawn, as in Fig. 3(b).
Under the effect of this external force, all the beams will be
deformed (mainly bending deformation), therefore creating
bending energy in the beam bodies, which can be described by
[46]
Component 1:
0 ( )D
M F Ak
(1)
where
22 1 2
22 1 2 1 2
1 1 1
3 8 21 1 1 1
4 16 4 16
l l l E I
A= ,D
l l l l l
Considering the force and moment equilibrium of the
structure, we get
This is the author's version of an article that has been published in this journal. Changes were made to this version by the publisher prior to publication.The final version of record is available athttp://dx.doi.org/10.1109/JMEMS.2013.2255115
Copyright (c) 2013 IEEE. Personal use is permitted. For any other purposes, permission must be obtained from the IEEE by emailing [email protected].
JMEMS-2012-0188.Final
4
1 0 1 2
1 2 6 7 1 2 6 7
1 2 6 7 1 2 6 7
3 4 3 4
0 3 3 3
3 3 4
2 2
( + )
M M F l
M M M M M ' M ' M ' M '
F F F F F ' F ' F ' F ' F
F F F ' F '
M M F l
M F l R
(2)
Substituting Eq. (2) into Eqs. (3), (4), (5), (6), (7), (8) and (9),
2 2
2
22
1 0 11 11
0
2 2 221 2 1 0 2 0
( )
2 2
2 1[ + ]
2 3 2
2l l
l
M M F xM F xU dx dx
EI EI
lF l F M l M
EI
(3)
Component 6:
2 2
2
22
6 0 66 66
0
2 2 226 2 6 0 2 0
( )
2 2
2 1[ + ]
2 3 2
2l l
l
M M F xM F xU dx dx
EI EI
lF l F M l M
EI
(4)
Component 2:
2
2 1
216
'M lU
EI
(5)
Component 3:
2
1 13
16
M ' lU
EI
(6)
Component 5:
2
6 1
516
'M lU
EI
(7)
Component 7:
2
7 1
716
'M lU
EI
(8)
Component 4:
42
3 34
0
2 220 4 4
424 3
( )2
2
1( + )
3( + + )
l F x MU dx
EI
M l ll R+ R
EI l l R
(9)
12
3whI
(10)
where E is the Young’s modulus of structural material, I is the
moment of inertia of the beam structure, which is dependent
on the beam width w and thickness h, R is the radius of the
central ring-shape holder.
Substituting Eq. (1) into Eqs. (3), (4), (5), (6), (7), (8) and (9),
2 2 221 6 2 2
2 1[ ( ) + ( ) ]
2 3 2
l D DU U F l A l A
EI k k
(11)
2 212 3 5 7 2[2 ( )]
64
l DU U U U F l A
EI k
(12)
22
2 24 44 42
4 3
( )
( + )3( )
DA
l lkU F l R+ REI l l R
(13)
As a result, the total bending energy in the two-stage double
T-shaped spring beam mechanism caused by the external force
can be calculated, ie
1 2 4
2 22 2 2
212
22
244 42
4 3
2 4
2 1[ ( ) + ( ) ]3 2
+ [2 ( )]16
( )
( + )3( )
total
2
U U U U
D Dl l A l A
k k
lF Dl A
EI k
DA
lkl l R+ Rl l R
(14)
The resultant deflection δ can be deduced by performing the
first order differentiation of Utotal with respect to the external
force F,
2 22 2 2
212
22
244 42
4 3
2 1[ ( ) + ( ) ]3 2
2+ [2 ( )]
16
( )
( + )3( )
totalU
F
D Dl l A l A
k k
lF Dl A
EI k
DA
lkl l R+ Rl l R
(15)
It can be seen that the equivalent spring constant of this
two-stage double T-shaped spring beam mechanism k can be
expressed by,
This is the author's version of an article that has been published in this journal. Changes were made to this version by the publisher prior to publication.The final version of record is available athttp://dx.doi.org/10.1109/JMEMS.2013.2255115
Copyright (c) 2013 IEEE. Personal use is permitted. For any other purposes, permission must be obtained from the IEEE by emailing [email protected].
JMEMS-2012-0188.Final
5
2 22 2 2
212
22
244 42
4 3
1
2 1[ ( ) + ( ) ]3 2
2+ [2 ( )]
16
( )
( + )3( )
k F
k F
D Dl l A l A
k k
l Dl A
EI k
DA
lkl l R+ Rl l R
(16)
Equation (16) can be simplified as a function of k, ie
1 3 2II II II 02k k
(17)
We then get
23 1 2
31
II 4 II IIII
2 IIk
(18)
where 2
1 1 2 3
22 3
3 2 3
2 21 21 2 2
1 22 2 2
221 2 4 4
3 424 3
II = I - I + I
II I
II I 2 I 1
2 2I 4
8 3
2I 4
8
2 1I ( )
8 3( )
A A
D
D A D
l ll l
EI EI
l ll l
EI EI
l l l ll R R
EI EI EI l l R
At the same time, the resultant rotational angle of the
central ring-shape holder θ can be calculated using beam
deflection function [47], 2 34 4
4 4 04 3 4 3
2 34 4
4 44 3 4 3
2 34 4
4 44 3 4 3
( )1 1 1= [ ( + ) ]
( + + ) 2 3 ( + + )
( )( )1 1
[ ( + ) ]( + + ) 2 3 ( + + )
( )( )12 1
[ ( + ) ]( + + ) 2 3 ( + + )3
l l Rθ l R l M
EI l l R l l R
DA
l l RkF l R lEI l l R l l R
DA
l l RkF l R ll l R l l RE h w
(19)
After analyzing the two-stage double T-shaped beam
mechanism, the model for the whole system involving the
folded-beam suspension for the actuator is built as shown in
Fig. 3(a), in which the folded-beam suspensions are
represented by springs with equivalent spring constant of ks.
3
1 3
44
f
s
E hwk k
l
(20)
where l and wf are the length and width of the folded-beam,
respectively.
For further simplification, the whole system can be treated
as a spring system as given in Fig. 3(a). It is obvious that when
the electrostatic driven force Fa is applied at both sides, the
resultant force F exerted on the T-shaped beam (namely k) can
be deduced to be
2
2
a
s
F kF
k k
(21)
where 20 ra
hF N V
g
(N is the number of finger pairs of the
comb-drive micro-actuator, ε0 (=8.85×10-12 F/m) is the
vacuum permittivity, εr (=1) is the relatively permittivity of
air, V is the applied voltage, h and g are the finger thickness
and gap, respectively.
Combining Eqs. (18), (19), (20) and (21), the resultant
rotational angle of the central ring holder can be calculated.
In the current design, all the structures are fabricated using
an SOI wafer with a 25 µm-thick device layer, ie all the
structure thicknesses are equal to 25 µm. Consequently, the
structural dimensions of the folded-beam suspension are first
determined to be 800 µm-long (l) and 6 µm-wide (wf) to
achieve moderate in-plane spring constant along the
movement direction whilst providing sufficient support in the
out-of-plane direction, according to our previous experience.
At the same time, a comb-drive actuator with 372 pairs of
fingers and 2 µm finger gap is adopted. From Eq. (19), it can
be seen that a smaller beam width (w) of the T-shaped beam
mechanism will result in a larger rotational angle. However,
with the decrease of beam width, the structure strength in
vertical direction will be reduced, thus affecting the operation
stability of the ring-shaped holder. Moreover, a design with
too small a beam width will also present a challenge to
fabrication as well as the yield. As trade-off, the beam width
of the T-shaped structure is selected to be 3 µm. Calculations
of the resultant rotational angle with different lengths of
central bar (l3) and central spring (l4) show that most of the
corresponding lengths of T-spring vertical beam (l1) and the
horizontal beam (l2) to the peak value are located in the range
of 150-250 μm. In order to simplify the computation, l1 and l2
are selected to be 200 μm.
Figure 4(a) shows a sample contour of the function of
resultant rotational angle with the variables of central bar (l3)
and central spring (l4) when T-spring vertical beam length (l1)
and the horizontal beam length (l2) are selected as 200 μm and
200 μm respectively. The two-axis relationship curves of
resultant rotation angle of the ring-shaped holder under
different structure designs of the central bar spring mechanism
under an applied 100 V DC are demonstrated in Fig. 4(b),
from which 1000 μm and 800 μm are deduced to be the
optimized values for the central bar (l3) and central spring (l4).
This is the author's version of an article that has been published in this journal. Changes were made to this version by the publisher prior to publication.The final version of record is available athttp://dx.doi.org/10.1109/JMEMS.2013.2255115
Copyright (c) 2013 IEEE. Personal use is permitted. For any other purposes, permission must be obtained from the IEEE by emailing [email protected].
JMEMS-2012-0188.Final
6
After reaching a maximum point (of around 20.5º), further
increasing the length of the central bar (l3) and central spring
(l4) will inversely reduce the resultant rotation angle at a
relatively rapid rate. It is because of the limitation of the
deformation compliance of the two-stage double T-shaped
spring beam system in a relative small and unchanged
designed chip area.
(a)
(b)
Fig. 4. (a) Sample contour of the resultant rotation angle with the variable of
l3 and l4, (b) Curves of resultant rotation angle of the ring-shaped holder
under different structure designs of the central bar spring mechanism
C. Simulation
Fig. 5. Simulation results for the proposed two-stage double T-shaped spring
beam mechanism
Using the designed structure parameters above, the
equivalent model of the device is also built and analyzed using
ABAQUS software. For simplification, an electrostatic driven
force equivalent to 100 V actuation voltage is directly applied
to the model during the analysis. Figure 5 shows the
simulation results for the case of clockwise actuation, from
which the in-plane rotation of the ring-shaped holder about the
virtual center pivot caused by the translation movements of the
side supports is clearly observed. The rotation angle is
calculated to be 18.3º under the comb drive stroke of around
38 μm, which agrees well with the theoretical analysis result
of 20.5º in Fig. 4.
TABLE I
FINAL STRUCTURE DIMENSIONS ADOPTED IN CURRENT DEVICE DESIGN
Item Dimension
Comb drive actuator
Finger pairs:372
Finger gap: 2 µm
Finger width: 5 µm
Folder beam suspension Length: 800 µm
Width: 6 µm
T-shaped beam
suspension
Length of vertical beam (l1): 200 µm
Length of horizontal beam (l2): 200 µm
Beam width: 3 µm
Central Spring
mechanism
Length of central bar (l3): 1000 µm
Length of central spring (l4): 800 µm
Beam width: 3 µm
Ring-shaped holder Inner diameter: 140 µm
Outer diameter: 240 µm
III. DEVICE FABRICATION
A. MEMS Actuator Fabrication
Fig. 6. Fabrication process flow for the actuator (a) Phosphosilicate glass layer
(PSG) deposition and bottom side oxide layer deposition, (b) Front side
This is the author's version of an article that has been published in this journal. Changes were made to this version by the publisher prior to publication.The final version of record is available athttp://dx.doi.org/10.1109/JMEMS.2013.2255115
Copyright (c) 2013 IEEE. Personal use is permitted. For any other purposes, permission must be obtained from the IEEE by emailing [email protected].
JMEMS-2012-0188.Final
7
photoresist coating and lithographically pattern, and 20 nm chrome/500 nm
gold deposition by e-beam evaporation followed by lift-off to form bond pads,
(c) Front side structure patterning by deep reactive ion etching (DRIE), (d)
Front side protection material coating on the top surface, (e) Backside oxide
layer is removed by reactive ion etching (RIE) and trench is formed by DRIE,
(f) Wet oxide etch process to remove the backside oxide, (g) Front side
protection material is stripped using a dry etch process
The proposed MEMS electrostatic microactuator is
fabricated using a commercial foundry process called
SOIMUMPs (MEMSCAP, USA). It begins with a blank
double-sided polished SOI wafer; the top surface of the silicon
layer is doped by depositing a phosphosilicate glass (PSG)
layer and annealing at 1050°C for 1 hour in Argon (Fig. 6(a)).
The thicknesses of device layer, buried oxide and substrate are
25 µm, 1 µm and 400 µm, respectively. After that, a metal
stack of 20 nm of chrome and 500 nm of gold is patterned
through a liftoff process to form electrical connection pads
(Fig. 6(b)). Subsequently, using standard photolithography
process, the desired structure patterns, including the actuator,
the folded- beam and the T-shaped suspensions and the ring-
shaped holder, are fabricated into a photo resist layer, acting
as the hard mask. Then, all of these patterns are
simultaneously transferred into the silicon device layer with
one-step DRIE etching (Fig. 6(c)). Next, a frontside protection
material is applied to the top surface of the silicon layer (Fig.
6(d)). The wafers are then reversed, and the substrate layer is
lithographically patterned and this pattern is then etched into
the bottom side oxide layer using Reactive Ion Etching (RIE).
A DRIE silicon etches is subsequently used to etch these
features completely through the substrate layer that is under
the movable structure region as shown in Fig. 6(e). A wet
oxide etch process is then used to remove the exposed buried
oxide layer (Fig. 6(f)). Finally, the frontside protection
material is stripped in a dry etch process to totally release the
whole device (Fig. 6(g)).
Fig. 7. Scanning electron microscope (SEM) image of the as-fabricated
electrostatic based MEMS micro-actuator
Figure 7 shows the fully released MEMS micro-actuator.
The inset on the top left corner is the zoom-in image of the
ring-shaped holder, two-side flexure beam deformation of
which will drive it rotate accordingly. The image of comb-
drive actuator and the folded-beam suspension are shown in
the bottom right corner inset.
B. Micro-pyramidal Polygon Reflector Fabrication
Fig. 8. The fabrication process flow of eight-slanted-facet pyramidal polygon
micro-reflector
The proposed general fabrication flow for the eight-slanted-
facet pyramidal polygonal micro-reflector, as summarized in
Fig.8, combines high-precision single-point diamond
machining on a copper (Cu) substrate and the soft lithographic
replication process with an elastomeric material known as
PDMS. Firstly, the required mold is produced by diamond
machining methods (inset in Fig. 8). The reverse of the mold
will be replicated through a cycle of soft lithography and that
serves as a PDMS mold for the next cycle of soft lithography.
Particularly, liquid PDMS prepolymer (Sylgard 184 silicone
elastomer - a base and curing agent of Dow Corning Corp -
mixed in a 10:1 weight ratio) is poured onto the surface of the
copper mold. After complete curing in an oven at 60°C for 2
hours, this thick PDMS substrate with the pyramidal polygon
cavity pattern is peeled off. Meanwhile, the positioning pillar
of the polygon is patterned on the SU8 (SU-8 2025,
MicroChem Corp.) layer, which has been pre-spun onto the
surface of a 4-inch polished silicon wafer. Then, the inverse of
the pillar pattern (cylindrical pillar) with 80 μm is transferred
from the SU-8 mold to a second PDMS mold. This PDMS
mold is also carefully peeled from the mold substrate with the
assistance of isopropyl alcohol (IPA) solution whereupon it is
fully cured in the oven. Subsequently, a droplet of optical
adhesive (Norland optical adhesive 83H, EDMUND) is
applied on the surface of the cylindrical cavity that is pre-
defined in the secondary PDMS mold. This cylindrical cavity
defines the shape of the positioning pillar of the polygon
reflector. There are also two other punched holes nearby to
serve as alignment marks to precisely fix the relative positions
of the polygon block and the pillar beneath. After that, the first
layer of the PDMS mold of the polygon cavity is bonded
together with the one of cylindrical cavities. Thus, the shape
This is the author's version of an article that has been published in this journal. Changes were made to this version by the publisher prior to publication.The final version of record is available athttp://dx.doi.org/10.1109/JMEMS.2013.2255115
Copyright (c) 2013 IEEE. Personal use is permitted. For any other purposes, permission must be obtained from the IEEE by emailing [email protected].
JMEMS-2012-0188.Final
8
of the whole micro-pyramidal polygon is defined by the
optical adhesive that is trapped in the polygon-cylindrical
cavity. The optical adhesive droplet fully cures in two minutes
after it is exposed to ultraviolet light, thereby forming the
pyramidal polygonal micro-reflector. Following this, the tough
micro-pyramidal polygon replica is peeled off from the PDMS
substrate. Finally, a 2000 Å-thick Au layer is deposited onto
the pyramid polygon surface, by means of E-beam
evaporation, to enhance its reflectivity.
Fig. 9. (a) Measured surface roughness of a slanted facet of the copper master
mold (average roughness Ra: 7.02 nm, root-mean-squared roughness Rq: 9.02
nm, the peak-to-valley difference Rt: 77.58 nm), (b) Measured surface
roughness of the slanted facet of the Au-coated polymer polygonal micro-
reflector (average roughness Ra: 48.95 nm, root-mean-squared roughness Rq:
61.90 nm, the peak-to-valley difference Rt: 950.67 nm)
The surface roughness measurement is performed by an
optical profiler Veeco. The measurement results of the
diamond turned copper master mold and the Au-coated
polymer polygonal micro-reflector are shown in Figs .9 (a)
and (b), respectively. It indicates that the measured average
surface roughness and root-mean-square roughness of the
diamond turned master mold are 7.02 nm and 9.02 nm,
respectively. Meanwhile, those roughnesses of the Au-coated
polygonal micro-reflector are 48.95 nm and 61.90 nm,
respectively. Such roughness difference between the diamond
turned mold surface and the polygonal micro-reflector surface
might be attributed to the thermal cycle and UV irradiation
involved in the fabrication process. In OCT imaging
applications, flat micro-reflector with surface roughness <
λ/10 are normally desired, with the wavelengths of the near-
infrared light source ranging from 930 nm to 1550 nm. As a
result, our currently proposed micro-reflector shows promise
to meet the requirements for the OCT imaging applications.
Fig. 10. The set-up for assembly and schematic of device assembly
Fig. 11. The scanning electron microscope (SEM) image of the assembled
MEMS electrostatic micro-scanner
After the eight-slanted-facet pyramidal polygon micro-
reflector and the electrostatic micro-actuator have been
fabricated, they are assembled manually (as shown in Fig. 10).
Initially, the microactuator chip is manually placed on top of
the polygonal reflector and held with a vernier caliper with the
actuator facing down. The position of the vernier caliper can
be adjusted in both transverse and longitudinal in-plane
directions as well as vertical out-of-plane direction by a three-
axis precision positioning stage. Next, the circular ring-shaped
holder of the actuation mechanism is aligned under a
microscope to confirm that the mounting hole and the
connection pillar are concentric before the actuator chip is
lowered and the connection pillar inserted into the circular
This is the author's version of an article that has been published in this journal. Changes were made to this version by the publisher prior to publication.The final version of record is available athttp://dx.doi.org/10.1109/JMEMS.2013.2255115
Copyright (c) 2013 IEEE. Personal use is permitted. For any other purposes, permission must be obtained from the IEEE by emailing [email protected].
JMEMS-2012-0188.Final
9
ring-shaped holder. Finally, the pillar and the circular ring-
shaped holder are bonded together by Araldite 2012 epoxy
adhesive. Figure 11 shows a scanning electron microscope
(SEM) image of the device after assembly.
IV. EXPERIMENT AND RESULTS
Fig.12. Measured rotation angle-applied voltage and comb drive stroke-
applied voltage curves
The comb drive strokes and rotation angles of the central
ring-shaped holder under different driving voltages are
characterized. During the test, a maximum voltage of 100 V
DC is applied to ensure a high safety factor of stable and safe
device operation. From the experimental results shown in Fig.
12, it can be observed that at a voltage of 100 V, the comb
drive can achieve a maximum translational displacement of 38
μm whilst the central ring-shaped holder can be gradually
driven to rotate nearly 20º in both clockwise and counter-
clockwise directions.
(a)
(b)
Fig. 13. (a) Setup of transient response experiment, (b) Measured transient
response of the MEMS device
Besides the static characterization of the MEMS
microactuator, the transient response of the assembled MEMS
device is also measured by connecting an AC
Function/Arbitrary waveform generator (Agilent 33522A), a
voltage Amplifier (A400D) and a digital oscilloscope
(DL1520) to it. A position sensitive detector (PSD) (as shown
in Fig. 13(a)) is utilized to detect the light trajectory scanned
by the MEMS micro-reflector. A square wave with 22Hz
frequency, 120Vp-p voltage, and 50% duty cycle is applied
onto the sets of comb drive actuators that can drive the
polygon micro-reflector to rotate clockwise.
The output of the detector together with the driving signal is
directly captured by an oscilloscope in real time as shown in
Fig. 13(b). The times taken for the detector to attain 90%
values from 10% are measured to be around 82ms and 96ms.
Compared with the electrothermal actuation based MEMS
micro-scanner we developed and presented before, this
relatively fast response (14 ms) undoubtedly makes the current
device more competitive.
Fig. 14. The applied voltage-optical scanning angle curve, laser scan trace
lines and zoom in optical image of the MEMS micro-scanner
This is the author's version of an article that has been published in this journal. Changes were made to this version by the publisher prior to publication.The final version of record is available athttp://dx.doi.org/10.1109/JMEMS.2013.2255115
Copyright (c) 2013 IEEE. Personal use is permitted. For any other purposes, permission must be obtained from the IEEE by emailing [email protected].
JMEMS-2012-0188.Final
10
Figure 14 is the optical scanning angle vs. applied voltage
curve. To demonstrate the circumferential scanning capability,
the MEMS device is driven into an oscillatory motion using an
AC Function/Arbitrary waveform generator (Agilent 33522A)
and a voltage Amplifier (A400D). A laser beam illuminates
the micro-pyramidal reflector from above. The reflected
beams from the slanted facets of the reflector project eight
laser spots onto a cylindrical screen when the device is
stationary. The device is then driven to oscillate by applying a
sinusoidal input voltage with an amplitude of 80 Vpp and a
frequency of 40 Hz. The captured scanning trace lines are
shown in the inset of Fig. 14. Due to the limitation of the
camera shooting angle, only half of the scan lines are visible
in the figure. It is observed that under such a driving
condition, a near-360° circumferential scanning range can be
obtained. As the envisioned whole structure of the OCT
system is shown in Fig.15, the developed double T-shape
spring mechanism based MEMS micro-scanner could be the
basis for FS-EOCT probes, which may help to make the probe
miniaturized and compact.
Fig. 15. The schematic of the use envisioned for double T-shaped spring
mechanism MEMS micro-scanner on OCT bioimaging
V. CONCLUSION
A novel MEMS micro-reflector based on electrostatic
actuation that is aimed at achieving near-360° light beam
scanning for OCT purposes has been successfully developed.
It consists of a pair of electrostatically-driven comb-drives to
actuate a two-stage double T-shaped spring beam mechanism
and an eight-slanted-facet pyramidal polygonal micro-reflector
with highly reflective surfaces. The polygon micro-reflector is
developed using high precision diamond turning and soft
lithography technologies. The two-stage double T-shaped
beam spring mechanism translates the translational movement
of the electrostatic actuator into in-plane rotation of the central
suspended ring-shaped holder which holds the micro-reflector.
This two-stage structure also provides displacement/angular
amplification. During operation, a 38 μm comb drive stroke is
achieved at 100 V, resulting in a rotation angle of around 20°
in clockwise or counter-clockwise direction. Tests using light
illuminated on the rotational polygon micro-reflector, verified
that a near-360° circumferential scanning can be realized. At
the same time, the response time of current device is measured
to be 14 millisecond representing greatly improved
performance over previous designs and good potential for the
applicability of the device. In summary, this MEMS-driven
micro-scanner could be the basis for FS-EOCT probes, which
may help to make the probe miniaturized and compact. At the
same time, the high surface temperature problem that existed
in the previous design is probably alleviated by the current
device.
ACKNOWLEDGMENT
The authors would like to thank Dr. Du Yu, Dr. Tian Feng,
and Mr. Kelvin Cheo Koon Lin for their generous assistance.
Financial support by the Singapore Ministry of Education
(MOE) Academic Research Fund under grant R-265-000-416-
112 is gratefully acknowledged.
REFERENCES
[1] D. Huang, E. A. Swanson, W. G. S. C. P. Lin, J. S. Schuman, W. Chang,
T. F. M. R. Hee, K. Gregory, C. A. Puliafito, and J. G. Fujimoto,
“Optical Coherence Tomography,” Science, vol. 254, pp. 1178-1181,
1991.
[2] G. J. Tearney, M. E. Brezinski, B. E. Bouma, S. A. Boppart, C. Pitris, J.
F. Southern, and J. G. Fujimoto, “In vivo endoscopic optical biopsy with
optical coherence tomography,” Science, vol. 276, pp. 2037-2039, 1997.
[3] P. R. Herz, Y. Chen, A. D. Aguirre, K. Schneider, P. Hsiung, J. G.
Fujimoto, K. Madden, J. Schmitt, J. Goodnow, and C. Petersen,
“Micromotor endoscope catheter for in vivo, ultrahigh-resolution optical
coherence tomography,” Opt. Lett, vol. 29, no. 19, pp. 2261-2263, Oct.1,
2004.
[4] J. P. Su, J. Zhang, L. F. Yu, and Z. P. Chen, “In vivo three-dimensional
microelectromechanical endoscopic swept source optical coherence
tomography,” Opt. Express, vol. 15, no. 16, pp. 10390-10396, Aug. 6,
2007.
[5] P. H. Tran, D. S. Mukai, M. Brenner, and Z. P. Cheng “In vivo
endoscopic optical coherence tomography by use of a rotational
microelectromechanical system probe,” Opt. Lett, vol. 29, no. 11, pp.
1236-1238, June.1, 2004.
[6] T. Y. Zhou, K. Zhang, Y. Chen, H. Wang, J. G. Wu, K. L. Jiang, and P.
Xue, “A cylindrical rod ultrasonic motor with 1mm diameter and its
application in endoscopic OCT,” Chinese Science Bulletin, vol. 50, no.
8, pp. 826-830, Apr. 2005.
[7] J. A. Ayers, W. C. Tang, and Z. P. Cheng, “360° Rotating Micro Mirror
for Transmitting and Sensing Optical Coherence Tomography Signals,”
Proc. IEEE sensors, vol. 1, pp. 497-500, 2004.
[8] M. Nakada, C. Chong, A. Morosawa, K. Isamoto, T. Suzuki, H. Fujita, and H. Toshiyoshi, “Optical coherence tomography by all-optical MEMS fiber endoscope,” IEICE Electronics Express, vol.7, no.6, pp. 428-433, 2010.
[9] K. Aljasem; L. Froehly; A. Seifert, and H. Zappe, “Scanning and Tunable Micro-Optics for Endoscopic Optical Coherence Tomography,” IEEE/ASME J.Microelectromech. Syst., vol. 20 , no. 6, pp. 1462 – 1472, 2011.
[10] C. Ji and Y. Kim, “Electromagnetic micromirror array with single
crystal silicon mirror plate and aluminum spring,” J. Lightwave
Technol., vol. 21, no. 3, pp. 584–590, 2003.
[11] K. H. Kim, B. H. Park, G. N. Maguluri, T. W. Lee, F. J. Rogomentich,
M. G. Bancu, B. E. Bouma, J. F. De Boer, and J. J. Bernstein, “Two axis
magnetically driven MEMS scanning catheter for endoscopic high-speed
optical coherence tomography,” Opt. Express, vol. 15, no. 26, pp.
18130–18140, 2007.
[12] A. D. Yalcinkaya, H. Urey, D. Brown, T. Montague, and R. Sprague,
“Two-axis electromagnetic microscanner for high resolution displays,”
IEEE/ASME J.Microelectromech. Syst., vol. 15, no. 4, pp.786–794,
2006.
This is the author's version of an article that has been published in this journal. Changes were made to this version by the publisher prior to publication.The final version of record is available athttp://dx.doi.org/10.1109/JMEMS.2013.2255115
Copyright (c) 2013 IEEE. Personal use is permitted. For any other purposes, permission must be obtained from the IEEE by emailing [email protected].
JMEMS-2012-0188.Final
11
[13] M. Niesten, R. Sprague, and J. Miller, “Scanning laser beam displays,”
in Proc. SPIE 7001Photonics in Multimedia II, Strasbourg, France, pp.
70010E, 2008.
[14] H. Xie, Y. Pan, and G. K. Fedder, “An SCS CMOS micromirror for
optical coherence tomographic imaging,” in 2002 IEEE Int. Conf. on
Microelectromechanical Systems, IEEE, Piscataway, NJ, 2002, pp. 495–
499.
[15] A. Jain, A. Koppa, Y. Pan, G. K. Fedder, and H. Xie, “A two-axis
electrothermal micromirror for endoscopic optical coherence
tomography,” IEEE J. Sel. Top. Quantum Electron, vol. 10, no. 3, pp.
636–642, 2004.
[16] X. J. Mu, W. Sun, H. H. Feng, A. B. Yu, K. W. S. Chen, C. Y. Fu, and
M. Olivo, “MEMS micromirror integrated endoscopic probe for optical
coherence tomography bioimaging,” Sens. Actuators A, Phys., vol. 168,
no. 1, pp. 202-212, 2011.
[17] L. Wu and H. Xie, “A 124-deg rotation angle electrothermal
micromirror with integrated platinum heater,” IEEE J. Sel. Top.
Quantum Electron, vol. 13, no. 2, pp. 316–321, 2007.
[18] L. Wu, H. K. Xie, “Electrothermal micromirror with dual-reflective
surfaces for circumferential scanning endoscopic imaging,” J.
Microlithography, Microfabrication, and Microsystems, vol. 8, no. 1,
pp. 013030(7pp), Jan. 2009.
[19] L. Wu, H. K. Xie, “A scanning micromirror with stationary rotation axis
and dual reflective surfaces for 360° forward-view endoscopic imaging,”
in Proc. 15th International Conf. Solid-State, Actuators and
Microsystems. Transducers 2009. Denver, CO, USA, 2009, pp. 2222–
2225.
[20] X. J. Mu, G. Y. Zhou, H. B. Yu, Y. Du, H. H Feng, Julius M. L. Tsai, and F. S. Chau, “Compact MEMS-driven pyramidal polygon reflector for circumferential scanned endoscopic imaging probe,” Opt. Express, vol. 20, no. 6, pp. 6325-6339, 2012.
[21] Y. Wang, S. Bish, J. W. Tunnell, and X. Zhang, “MEMS scanner enabled real-time depth sensitive hyperspectral imaging of biological tissue,” Opt. Express, vol. 18, no.23, pp. 6325-6339, 2010.
[22] Y. Wang, K. Kumar, L. Wang, and X. Zhang, “Monolithic integration of binary-phase fresnel zone plate objectives on 2-axis scanning micromirrors for compact microscopes,” Opt. Express, vol. 20, no. 6, pp. 6657-6668, 2012.
[23] Y. B. Gianchandani and K. Najafi, “Bent-beam strain sensors,”
IEEE/ASME J.Microelectromech. Syst., vol. 5, no. 1, pp. 52–58, Mar.
1996.
[24] L. Que, J. S. Park, and Y. B. Gianchandani, “Bent-beam electro-thermal
actuators for high force applications,” in Proc. 12th IEEE Int. Conf.
MEMS, Orlando, FL, Jan. 17–21, 1999, pp. 31–36.
[25] M. J. Sinclair, “A high force low area MEMS thermal actuator,” in Proc.
7th Intersociety Conf. Thermal and Thermomechanical Phenomena in
Electronic Systems, 2000. ITHERM 2000. Las Vegas, Nevada, USA,
2000, pp. 127–132.
[26] L. Que, J. S. Park, and Y. B. Gianchandani, “Bent-beam electrothermal
actuators—Part I: Single beam and cascaded devices,” IEEE/ASME J.
Microelectromech. Syst., vol. 10, no. 2, pp. 247–254, Jun. 2001.
[27] J. S. Park, L. L. Chu, A. D. Oliver, and Y. B. Gianchandani, “Bent-beam
electrothermal actuators—Part II: Linear and rotary microengines,”
IEEE/ASME J.Microelectromech. Syst., vol. 10, no. 2, pp. 255–262, Jun.
2001.
[28] C. D. Lott, T. W. McLain, J. N. Harb, and L. L. Howell, “Modeling the
thermal behavior of a surface-micromachined linear-displacement
thermomechanical microactuator,” Sens. Actuators A, Phys., vol. 101,
no. 1-2, pp. 239-250, Sep. 2002.
[29] Y. Shimamura, K. Udeshi, L. Que, J. Park, and Y. B. Gianchandani,
“Impact Behavior and Energy Transfer Efficiency of Pulse-Driven Bent-
Beam Electrothermal Actuators,” IEEE/ASME J. Microelectromech.
Syst., vol. 15, no. 1, pp. 101-110, Feb. 2006.
[30] Y. Zhang, Q. A. Huang, R. G. Li, and W. Li, “Macromodeling for
polysilicon cascaded bent beam electrothermal microactuators,” Sens.
Actuators A, Phys., vol. 128, no. 1, pp. 165-175, Mar. 2006.
[31] L. L. Chu, L. Que, D. Oliver, and Y. B. Gianchandani, “Lifetime Studies
of Electrothermal Bent-Beam Actuators in Single-Crystal Silicon and
Polysilicon,” IEEE/ASME J. Microelectromech. Syst., vol. 15, no. 3, pp.
498-506, Jun. 2006.
[32] B. Ando, S. Baglio, N. Pitrone, N. Savalli, and C. Trigona , ““Bent
beam” MEMS Temperature Sensors for Contactless Measurements in
Harsh Environments,” in Proc. IEEE I2 MTC , Victoria, BC, Canada,
May 12-15, 2008, pp. 1930–1934.
[33] P. Nallamuthu, T. H. Hwang, D. H. Jeong, S. H. Moon, S. W. Seo, and
J. H. Lee, “Contact resistance of micromachined electrical switches
incorporating a chevron-type bi-stable spring,” J. Micromech.
Microeng., vol. 21, no. 1, pp. 015018(8pp.), Jan. 2011.
[34] B. Ando, S. Baglio, N. Savalli, and C. Trigona, “Cascaded “Triple-Bent-
Beam” MEMS sensor for contactless temperature measurements in
nonaccessible environments,” IEEE Transactions on Instrumentation
and Measurement, vol. 60, no. 4, pp. 1348–1357, Apr. 2011.
[35] Y. Du, G. Zhou, K. L. Cheo, Q. X. Zhang, H. H. Feng and F. S. Chau,
“Double-layered vibratory grating scanners for high-speed high-
resolution laser scanning,” IEEE Journal of Microelectromechanical
Systems, vol. 19, no. 5, p. 1186-1196, 2010.
[36] E. Sarajlic, C. Yamahata, M. Cordero, and H. Fujita, “Three-Phase Electrostatic Rotary Stepper Micromotor with a Flexural Pivot Bearing,” IEEE/ASME J. Microelectromech. Syst., vol.19, no.2, pp.338-349, 2010.
[37] J. L. A. Yeh, H. Jiang, and N. C. Tien, “Integrated polysilicon and DRIE bulk silicon micromachining for a torsional actuator,” IEEE/ASME J. Microelectromech. Syst., vol. 8, no. 4, pp. 456-465, 1999.
[38] W. C. Tang, T. H. Nguyen, M. W. Judy, and R. T. Howe, “Electrostatic-comb drive of lateral polysilicon resonators,” Sens. Actuators A, Phys., vol. 21, no. 1-3, pp. 328-331, 1990.
[39] J. Kim and L.W. Lin, “Electrostatic Scanning Micromirrors Using Localized Plastic Deformation of Silicon,” J. Micromech. Microeng., vol. 15, pp. 1777-1785, 2005.
[40] J. Kim, D. Christensen, and L.W. Lin, “Monolithic 2-D Scanning Mirror Using Self-Aligned Angular Vertical Comb Drives,” IEEE Photonics Technology Letters, vol. 17, No. 11, pp. 2307-2309, 2005.
[41] M. H. Kiang, O. Solgaard, K. Y. Lau, and R. S. Muller, “Electrostatic
comb drive-actuated micromirrors for laser-beam scanning and
positioning,” IEEE/ASME J. Microelectromech. Syst. 7 27–37,1998
[42] W. Piyawattanametha, P. R. Patterson, D. Hah, H. Toshiyoshi, and M.
C. Wu, “A 2-D scanner by surface and bulk micromachined angular
vertical comb actuators,” in 2003 IEEE/LEOS Int. Conf. of Optical
MEMS, Piscataway, NJ, 2003, pp. 93–94.
[43] I. W. Jung, U. Krishnamoorthy, and O. Solgaard, “High fill-factor two
axis gimbaled tip-tilt-piston micromirror array actuated by self-aligned
vertical electrostatic comb drives,” IEEE/ASME J. Microelectromech.
Syst., vol. 15, no. 3, pp. 563–570, Jun. 2006.
[44] V. Milanovic, G. A. Mathus, and D. T. McCormick, “Gimbal-less
monolithic silicon actuators for tip-tilt-piston micromirror applications,”
IEEE J. Sel. Top. Quantum Electron., vol. 10, no. 3, pp.462–471, 2004.
[45] S. Hsu, T. Klose, C. Drabe, and H. Schenk, “Fabrication and
characterization of a dynamically flat high resolution micro-scanner,”
J.Opt. A, Pure Appl. Opt., vol. 10, pp. 044005(8pp), 2008.
[46] F. A. Leckie, and D. J. D. Bello, Strength and stiffness of Engineering
Systems. Springer, 2009.
[47] F. Axisa, and P. Trompette, Modelling of mechanical systems: Structural
elements. Elsevier, 2005
This is the author's version of an article that has been published in this journal. Changes were made to this version by the publisher prior to publication.The final version of record is available athttp://dx.doi.org/10.1109/JMEMS.2013.2255115
Copyright (c) 2013 IEEE. Personal use is permitted. For any other purposes, permission must be obtained from the IEEE by emailing [email protected].
JMEMS-2012-0188.Final
12
Xiaojing Mu received the B.S. and M.S.
degrees in the Department of Mechanical
Engineering from Chongqing University
(CQU), Chongqing, P.R China, in 2006 and
2008, respectively. He is previous a Ph.D
student in Micro/ Nano System Initiative
(MNSI) lab at National University of
Singapore (NUS), Singapore and also an
attached full-time research student with
miniature medical device (MMD) group
from the Institute of Microelectronics,
Agency for Science, Technology and
Research (A*STAR). Currently, he is a
research scientist with Sensors & Actuators
Microsystems Program (SAM) group from
the Institute of Microelectronics (IME), Agency for Science, Technology and
Research (A*STAR), Singapore. His interest lies in optical MEMS and
MEMS pressure sensors. His Ph.D research work is design and fabrication of
optical micro devices for medical applications and current work in IME is
focusing on AIN based MEMS microphone, micro-speaker and SAW sensors.
Guangya Zhou received the BEng and PhD
degrees in optical engineering from Zhejiang
Univeristy, Hangzhou, China, in 1992 and
1997, respectively. He joined the National
University of Singapore (NUS) in 2001 as a
research fellow. Currently, he is an associate
professor with the Department of Mechanical
Engineering, NUS. His main research
interests include microoptics, diffractive
optics, MEMS devices for optical
applications, and nanophotonics.
Hongbin Yu received a BS in mechanical
engineering, MS in electrical engineering and
PhD in optical engineering from Huazhong
University of Science and Technology, China,
in 1999, 2002 and 2005, respectively. He was
a senior research fellow at Micro/Nano
Systems Initiative Technology with the
Department of Mechanical Engineering,
National University of Singapore. Currently,
he is a research scientist with Miniature
Medical Device (MMD) group from the
Institute of Microelectronics, Agency for
Science, Technology and Research
(A*STAR). His research interests involve the
design, simulation and fabrication technology
of MEMS/NEMS devices and optofluidics.
Julius Ming-Lin Tsai was born in Taipei,
Taiwan, R.O.C., in June 1976. He received
the B.S. and Ph.D. degrees in power
mechanical engineering from National
Tsing Hua University, Hsin-Chu, Taiwan, in
1995 and 2004, respectively. From June
2003 to April 2004, he was a visiting
scholar with Carnegie–Mellon University,
Pittsburgh, PA, where he was involved with
low-noise CMOS accelerometers. From
2004 to 2009 he joined VIA Technologies,
where he was involved with high-frequency
small-signal modeling. He is now a
principle investigator in Institute of Microelectronics, Singapore and an
adjunct assistant professor with Department of Electrical and Computer
Engineering, National University of Singapore. His main research interests are
in RFMEMS, NEMS switch and MEMS ultrasound transducers. Dr. Tsai was
the recipient of a scholarship presented by the National Science Council of
Taiwan.
Dennis Wee Keong Neo received the BS.
(BTECH Honors) in the Department of
Mechanical Engineering from National
University of Singapore. Currently, he is
pursuing the Ph.D. degree in the Department
of Mechanical Engineering in National
University of Singapore. His main research
interests are in the Micro/Nano machining
and manufacturing of freeform surfaces.
A.Senthil Kumar received the BS.
(Mechanical) and MS (Eng. Design) in
College of Engineering, Guindy, Anna
Univ. and Ph.D. degrees in National
University of Singapore. He is currently an
associate professor in the Department of
Mechanical Engineering, National
University of Singapore. His main research
interests are in the development of
Miniature Machine Tool for Micro/Nano
Machining, fixture design and Micro/Nano
machining.
Fook Siong Chau received the B.Sc. (Eng.)
and Ph.D. degrees from the University of
Nottingham, Nottingham, U.K.. He is
currently an associate professor in the
Department of Mechanical Engineering,
National University of Singapore. His main
research interests are in the development and
applications of optical techniques for
nondestructive evaluation of components
and the modeling, simulation, and
characterization of microsystems,
particularly bio-MEMS and MOEMS.
This is the author's version of an article that has been published in this journal. Changes were made to this version by the publisher prior to publication.The final version of record is available athttp://dx.doi.org/10.1109/JMEMS.2013.2255115
Copyright (c) 2013 IEEE. Personal use is permitted. For any other purposes, permission must be obtained from the IEEE by emailing [email protected].