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M. Dantus
TADEM 2017
Pulsos Ultracortos Jueves 22, 2017; 9:00 - 11:00
Marcos Dantus
Department of Chemistry and Physics Michigan State University East Lansing, MI 48824
Conflicto de Interés: El Dr. Dantus es inventor de mas de 19 patentes relacionados a tecnología en esta tutorial. Las opiniones en esta platica sol las del instructor y no tienen como meta influenciar decisiones comerciales.
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Temas a Tratar
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Parte I. Porque pulsos ultracortos?
Parte II.
Parte III. Aplicaciones Transformación
de pulsos
Bibliografía Adicional
Mi Visión: Los pulsos ultracortos son mas que un tipo de rayo laser. Primero, ellos nos dan la habilidad de alcanzar cualquier longitud de onda (desde radio hasta
rayos gama) y cualquier escala de tiempo (de segundos a zepto-segundos). Segundo, con un manipulador de pulsos programable son la base de comunicación
ultrarrápida, y esta fuente de energía se vuelve controlable por inteligencia artificial .
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Motivación
Que les gustaría aprender? Pensemos en posibles aplicaciones …
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Parte I. Porque pulsos ultracortos?
Part II. How to shape a pulse
Further Reading List
Part III. Applications
1. Porque femtosegundos?
2. Transformación de pulses usando un manipulador (shaper)
Temas a Tratar
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La Femtoquímica
Dantus, Rosker, Zewail JCP 87, 2395 (1987)
Femtosecond clocking of the chemical bond
Dantus, Kim, Williamson, Zewail, JPC 98, 2782 (1994)
Tracking structural changes with fs resolution
Ultrafast Electron Diffraction
1999 Chemistry Nobel Prize
M. Dantus
Porque ?
Cronología Óptica no-lineal
Ablación sin derritir Femtoquímica
Femtobiología
Femtofísica
Attociencia
Comunicación
Microscopia multiphotónica
Generación de altas harmónicas
Filamentación
Litografía multiphotónica
Mecanizado
Intensidad pico
Cortado de materiales
Procedimientos Quirúrgicos
Metrología
Difracción ultra rápida
Ultrarapido!
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Describamos un pulso ultracorto
The electric field E(t) is a real value which is measurable by classical means. Therefore, its direct Fourier Transform, E(ω), is defined as
(1) (2)
(3)
E(ω)= E(t)eiω t dt
−∞
+∞
∫ , which satisfies the relation ).()( * ωω −=EE
Since it is enough to know the spectrum at positive frequencies (ω≥0) to calculate the field in the time domain, it is useful to introduce the mathematical construct
E(ω ) ≡
E(ω ), ω ≥ 00, ω < 0
⎧⎨⎩
∫∞+
∞−
−≡ ωωπ
ω deEtE ti)(21)(and its inverse Fourier Transform (complex function) (4)
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E(t) E(ω )E(−ω )
El campo electromagnético se puede definir en función de tiempo o frecuencia
M. Dantus
Describamos a un pulso ultracorto
With a spectrometer one can measure the spectral power I(ω). But to fully describe a pulse we also need to know the spectral phase φ(ω).
To measure the spectral phase one can use (FROG, SPIDER, MIIPS). All these methods use a nonlinear optical signal, typically SHG. All of them are based on the fact that a nonlinear response depends on the temporal shape of the electric field, i.e., on the spectrum and the spectral phase.
Spectral power and phase measurements
(5) )()( )()()( ωϕωϕ ωωω ii eIeAE ∝≡
∫∫∞+
∞−
−∞+
∞−
− ∝≡ ωωωωπ
ωωϕωωϕ deeIdeeAtE tiitii )()( )()(21)( (6)
which affects the temporal shape of the pulse as follows
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El campo electromagnético se define por su espectro y su fase espectral
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Linear phase modulation = delay in time
What if we expand the phase in a Taylor series near the laser carrier frequency ω0?
(10) ...)(!2
)()( 20
2010 +−+−+= ωω
ϕωωϕϕωϕ
Then, φ0 is the spectral phase of the harmonic at ω0, and φ1 is responsible for delaying the pulse envelope in time by 𝝉 = φ1.
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‘Envelope’ Delay τωωωϕ )()( 0−=
Una fase espectral lineal avanza o atrasa el pulso según su pendiente
M. Dantus
Dispersion Cromática (chirp)
A broad band pulse experiences broadening because of a frequency dependent index of refraction.
k(ω)=ω n(ω)/c and k(ω)x =φ(ω)
( ) ( ) ( ) ( )2 31 10 0 0 02 6k k k k Lϕ ω ω ω ω ω ω ω⎡ ⎤ʹ ʹʹ ʹʹʹ= + − + − + −⎣ ⎦
The first term corresponds to a time delay: k′(ω) = dk(ω)/dω = φ1(ω)/L = dφ(ω)/dω/L
The second term corresponds to SOD or GVD: k″(ω) = d2k(ω)/dω2 = φ2(ω)/L = d2φ(ω)/dω2/L
The third term corresponds to TOD: k′′′(ω) = d3k(ω)/dω3 = φ3(ω)/L = d3φ(ω)/dω3/L
Predicting TOD at any frequency based on a known GVD (ωk′′′ ≈ 1.4 k′′)
AIP Advances 1, 032166 (2011) 10
La transmisión de un pulso por un material le transforma su fase espectral
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Dispersión de Segundo Y Tercer Orden
Having realized that a linear phase corresponds to a time delay we can now conceptually realize what nonlinear phases cause to the pulse.
Example 1: quadratic phase (SOD or GDD)
( ) ( ) 0,2 2
20
2 >−= ϕωωϕ
ωϕ
Example 2: cubic phase (TOD)
( ) ( ) 0,6 3
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3 >−= ϕωωϕ
ωϕ
ω ω0
𝝉>0 𝝉<0
𝝉=0
Negative slope
Positive slope
Higher freqs. are delayed
Lower freqs. are advanced
ωϕ
ωτdd
=)(
ω ω0 𝝉=0
𝝉>0
𝝉>0 Higher freq. are delayed
Lower freq. are delayed
Positive slope
Positive slope
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t t
La fase espectral se puede descomponer en pequeños trazos lineales
M. Dantus
Chirped pulses
Dispersion Induced Linear Chirp = Quadratic Phase
Quadratic phase (SOD or GDD)
( ) ( ) 0,2 2
20
2 >−= ϕωωϕ
ωϕ
2
222ln41 ⎟⎟⎠
⎞⎜⎜⎝
⎛+=
inin
out
τϕ
ττ
ω ω0
For large dispersion, when 22 inτϕ ≥
τ outτ in
≈ 3 φ2τ in2
For example: 22 f5000,f50 ssin == ϕτ
3 φ2τ in2 = 3
500050×50
= 310050
= 3×2
actual 281.7fs
τ out ≈ 50×6 = 300 fs
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For Gaussian pulses
t
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Part I. What is spectral pulse shaping?
Part II.
Further Reading List
Part III. Applications Transformación
de pulsos
Temas a Tratar
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Transformación de Pulsos
Input Field: ∫∞+
∞−
−≡ ωωπ
ω deEtE ti)(21)(
Output Field: ,)()(21)( ∫
∞+
∞−
−= ωωωπ
ω deEMtE tiout
)()(
)()( )(
ω
ωϕ
ωω ωϕ
T
eTM i≡
- phase mask, - transmission mask.
Where:
Phase and amplitude shaping function
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fase espectral amplitud espectral
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LAB2-A virtual femtosecond laser lab An add-on to LabView allowing to simulate a variety of experiments in ultrafast optics. B.Schmidt, M.Hacker, G.Stobrawa, T.Feurer http://www.lab2.de
Freeware vCHIRP software from VENTEON (full version is available on request) Dispersion and pulse compression calculations for designing your ultrafast experiment. http://www.venteon.com/software.php
Freeware femtoPulse Master software from Biophotonic Solutions Inc. (full version is available on request) Simulation of pulse shape and corresponding nonlinear signal outputs, including SHG, MIIPS and MIIPS2 traces, FROG and X-FROG, autocorrelation. http://www.biophotonicsolutions.com/FPM.php
Programas para simular la transformación de pulsos cortos 1.
2.
3.
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femtoPulse Master
Pulse Spectrum (zero outside)
Pulse Phase (zero outside)
Phase-mask (Selected frame – Polynomial)
Transmission-mask (Selected frame – Binary)
Simulation Program Layout
SHG Spectrum
Selected P-mask is applied only to activated spectral bands; elsewhere, ϕ(ω)=0.
E(t) I(t)
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Input Parameters for calculations
Measurements Program Layout
Two Preset configurations
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femtoPulse Master
M. Dantus
Vamos al laboratorio
Voy a necesitar su ayuda …
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is transmission mask
is phase mask
Fourier Synthesis A dispersive element angularly separates the wavelengths, and each component is focused at the Fourier plane. The mask changes the optical path length (phase shaping) or attenuates (amplitude shaping) individual frequency components. Recombine with identical optics.
,)()(21)( ∫
∞+
∞−
−= ωωωπ
ω deEMtE tiout
)()(
)()( )(
ω
ωϕ
ωω ωϕ
T
eTM i≡
Anatomía de un Manipulador de Pulsos 4-f
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Liquid Crystal on Silicon Spatial Light Modulators
Phase modulation as usual Amplitude modulation by diffraction
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Part I. What is spectral pulse shaping?
Part II. How to shape a pulse
Further Reading List
Part III. Applications
1. Pulse characterization 2. Nonlinear microscopy 3. Molecular sensing 4. Other
Temas a Tratar
M. Dantus
Compresión de pulsos (229 fs a 10.8 fs) Example, 229fs pulses from Yb:KYW oscillator pump a PCF fiber
Supercontinuum Compressed to 10.8 fs
SHG (experiment) SHG (theory) Fundamental (~1020nm)
S. A. Boppart’s Research Group, Opt. Letters 36, 2315 (2011) 10.8fs; Opt. Lett. 37, 2172 (2012) 6.4fs.
Before/After Before/After Spectrum & Phase Before/After
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Manipulación de pulsos para controlar la materia
Control of chemical reactions Science 282, 919 (1998)
Selective vibrational excitation Opt. Express 16, 592 (2008)
Raw Data!
General perspective: Dantus Chem. Reviews 104, 1813-1860 (2004)
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!ν1 = 752cm−1
!ν12 = 1,000cm−1
M. Dantus
Creación de pulsos múltiples
From the Zanni Research Group, Methods 52, 12–22 (2010)
2D Spectroscopy in the mid-IR (visible and UV) made simpler using a pulse shaper.
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Porque es necesario empezar con pulsos “TL”
With
Without Bad Very Bad
MII Theory Experimental data
JOSA B 23, 750 (2006)
With
Without
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Compresión de pulsos
JOSA B 25, A140 (2008)
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Compresión a base de un algoritmo evolutivo
Appl. Phys. B. 65, 779 (1997)
Optics Letters 22, 1793 (1997)
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The shaped pulse )()()( ωωω inout EME ⋅=
The desired pulses )()()( 221
221 ττ ++−= tEtEtE ininout
The corresponding pulse in the frequency domain upon FT
[ ] )()cos()()exp()exp()( 22221 ωωωωωω τττ
ininout EEiiE ⋅=⋅+−=
The required amplitude function: [ ]2)(cos)( τωωω refM −=
Negative amplitude is realized by a sign change:
[ ] [ ]{ }22 )(cossgn)(cos)( ττ ωωωωω refrefM −−=
The change of signs (second part of expression) is accomplished by changing the phase to 0 and π:
Where
Transmission: ( )22cos τω Phase: { }2sgn cos ( )ref
τω ω⎡ ⎤−⎣ ⎦
ω ref = 0 or =ω 0
Creación de pulsos múltiples
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29 See for example: Opt. Exp. 19, 11638 (2011)
Transmission: ( )22cos τω
Phase: sgn cos (ω −ω ref ) τ
2⎡⎣ ⎤⎦{ }+ τ
2
ω ref = 0 in these casesNote amplitude changes at the same rate of the fundamental frequency.
Creación de pulsos múltiples
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Temporal dephasing from individual nanoparticles
( ) ( ) i tS S e dtωω τ= ∫
Fourier Transform:
( )S τ
J. Phys. Chem. Lett. 6, 1638 (2015)
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Spectral Phase
Cross Correlation “sonogram”
Pulse in Time
Note carrier frequency is changing linearly
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Compresión de pulsos
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MIIPS-sonogram
Ref. T-slit
Scanning T-slit Cross correlation Measured
1. Define a position for the reference T-slit 2. Pick a position for the scanning T-slit 3. Perform a cross correlation by finding the slope that corresponds to the time Δt 4. Repeat measurements for each scanning T-slit 5. The resulting measurement gives
Actual MIIPS-s data
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dϕ dω
dϕ dω
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MIIPS-sonogram
Experimental Implementation Actual data using two Ref. T-slits
Pestov et al., Opt. Letters 35, 1422-1424 (2010)
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MIIPS-sonogram
Experimental Implementation After measuring phase distortions the pulse shaper can subtract them
for highly efficient Pulse Compression
Pestov et al., Opt. Letters 35, 1422-1424 (2010)
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MIIPS-sonogram
GVD of water, measurement Data from BBDM with interferences
Precision ± 3.5 fs Accuracy ± 7 fs
Pestov et al., Opt. Letters 35, 1422-1424 (2010)
Gires-Tournois Interferences These sharp features in the phase require 2nd, 3rd, 4th, and higher order terms to be described in a Taylor expansion.
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Que es MIIPS?
SHG Frequency
Chi
rp
Chi
rp
TL pulses Chirped pulses TOD pulses
SHG Frequency SHG Frequency
Contour maps of the SHG spectrum as a function of chirp. In these cases, the chirp introduced is a reference phase. The SHG intensity is maximum when the local chirp is minimum.
Chi
rp
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+ = φ=0 φ=0
φ=0
λ=800 nm
λ=800 nm
λ=790 nm
λ=810 nm
λ=400 nm
Implications for simple SHG
φ=0 +
φ=0 φ=0
4
+ = φ=0 φ=π
φ=0
λ=800 nm
λ=800 nm
λ=790 nm
λ=810 nm
λ=400 nm
Implications for simple SHG
φ=0 +
φ=0 φ=π
0
(TL)
(shaped)
1.55 eV 3.10 eV
Second Harmonic Generation (SHG)
Multiphoton Intrapulse Interference
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Multiphoton Intrapulse Interference Phase Scan (MIIPS)
Dots satisfy equation
( ) ( ) 0?local localf ω φ ωʹ́ ʹ́− =
Optics Express 16, 592 (2008) JOSA B 25, A140 (2008)
Theory Experiment
5 fs pulse with 500 fs3 TOD
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Compensated 4.3 fs pulse
JOSA B 25, A140 (2008)
Multiphoton Intrapulse Interference Phase Scan (MIIPS)
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The maximum SHG wavelength Varies linearly with δ
φ(ω) = α sin (γ ω +δ)
δ
λSHG
For TL pulses MIIPS yields parallel features separated by π
The pulse correlates itself
J. Phys. Chem. 108, 53 (2004) Frequency Doubled Spectrum
Multiphoton Intrapulse Interference Phase Scan (MIIPS)
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Measures
Corrects
Done!
Multiphoton Intrapulse Interference Phase Scan (MIIPS)
Laser Focus World 43, 101, 2007 JOSA B 23, 750 (2006) OE Magazine 3, 15 (2003)
MIIPS and its applications are protected by US Patents 7,105,811; 7,439,497; 7,450,618; 7,567,596; 7,583,710; 7,609,731 others pending JOSA B 25, A140 (2008)
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SHG-FROG MIIPS
M. Dantus, V. V. Lozovoy, I. Pastirk, “Measurement and Repair: The Femtosecond Wheatsone Bridge,” OE Magazine 9, 15 (2003)
Multiphoton Intrapulse Interference Phase Scan (MIIPS)
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Comparison of Reproducibility of MIIPS with FROG and SPIDER
Early comparisons
Gallmann et al., Appl. Phys. B 70, S67-S75 (2000)
Xu et al., JOSA B 23, 750 (2006)
Method Weighted error (rad)
MIIPS 0.013 (0.0028) Measures φ''(ω)
FROG* 0.122 Iteratively guesses E(ω)φ(ω) to match FROG trace
SPIDER* 0.044 Measures φ'(ω)
M. Dantus, V. V. Lozovoy, I. Pastirk “Measurement and repair. The femtosecond
Wheatstone bridge.” OE magazine 2003, 3(9), 15-17
Multiphoton Intrapulse Interference Phase Scan (MIIPS)
IEEE Photonics Journal, 1, 163 (2010). 43
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Sub 1fs2 GVD Measurements Accuracy and Precision
Coello et al., Applied Optics 46, 8394 (2007)
Multiphoton Intrapulse Interference Phase Scan (MIIPS)
Dispersion of water
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Compression of Ultrafast Fiber Lasers
Pulsedura+on: ~5ps 480fsPulsepeakpower:~400MW 3.8GW
T. Eidam et. al., Opt. Expr., Vol. 19 No. 1, 255-260 (2011)
Factorof10improvementbyMIIPStechnology
Highest peak power from ultra-short pulse fiber laser
Correction beyond linear chirp
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Correction of high-order dispersion from high NA microscope objectives
Multiphoton microscopy with short pulses
JOSA B 23, 750 (2006) Optics Commun. 241, 1841 (2008) J. Biomed. Optics 14(1), 014002 (2009)
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High-order dispersion in two-photon microscopy TL 2nd order 3rd order 4th order 5th order Prisms only
Mouse Kidney
Tendon
Foot pad bone
BioOptics World 2009
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Label-free chemical imaging of cancer Collaboration with UIUC Prof. Dr. S. Boppart and Biophotonic Solutions
Nature Photonics (2016)
Figure S3.2. Epi-detected CARS-3050 cm-1 imaging of unstained rat mammary tumor from a 15-week-old carcinogen-injected rat. Water-rich regions and an area of protein granules are revealed. One water-rich area (delineated by blue solid line) indicates a region of dense collagen (see Fig. S3.5), while another marked area (delineated by green broken line) reveals several FAD-rich microparticles (see Fig. S3.4).
Figure S3.3. Epi-detected CARS-2850 cm-1 imaging of unstained rat mammary tumor from a 15-week-old carcinogen-injected rat. The unconfirmed nerve and blood cells resemble those reported nerve (Fig. 2A in Ref. 12) and blood cells (Fig. 11f in Ref. 13). A marked lipid-poor area (delineated by solid line) indicates a region of dense collagen (see Fig. S3.5), while another marked area (delineated by broken line) reveals several FAD-rich microparticles (see Fig. S3.4).
Figure S3.4. Epi-detected i2PF imaging of unstained rat mammary tumor from a 15-week-old carcinogen-injected rat. The image reveals a region of thin elastin fibers, 2 interstitial cells among adipocytes (see Fig. 3.3 for positive contrast of adipocytes), 5 cells on adipocyte boundaries, 5 free cells in various stromal regions, 2 tumor cells on a tumor boundary (confirmed by bright-field imaging), and several FAD-rich microparticles inside the corresponding solid tumor. A marked area of no obvious structure (delineated by red solid line) indicates a region of dense collagen (see Fig. S3.5). A natural question arises whether the visible elongated features are of the same origin, which can be answered by the dual-modal i2PF/i3PF image analysis (see Fig. S3.10).
Figure S3.5. Epi-detected SHG imaging of unstained rat mammary tumor from a 15-week-old carcinogen-injected rat. One marked area (delineated by red solid line) indicates a region of dense collagen, while another area forms a collagen fiber tube. A natural question arises why collagen forms a tube structure, which can be answered by the dual-modal SHG/i3PF image analysis (see Fig. S3.11). Another question arises why collagen forms a large-scale strand-like structure, which can be answered by the tri-modality CARS-2850 cm-1/SHG/THG image analysis (see Fig. S3.14).
Figure S3.6. Epi-detected i3PF imaging of unstained rat mammary tumor from a 15-week-old carcinogen-injected rat. Lipid microparticles and adipocytes in CARS imaging (see Fig. S3.3) also show up. One marked area (delineated by broken yellow line) reveals several FAD-rich microparticles (see Fig. S3.4). Other areas with scattered fluorescent microparticles (delineated by solid orange lines) are described in the THG image (see Fig. S3.7). A natural question arises why most of the fluorescent microparticles are distributed in tubular formations rather than the random formations of the marked areas (yellow rectangles), which can be answered by the dual-modal i3PF/CARS-2850 cm-1 image analysis (see Fig. S3.9).
Figure S3.14. Epi-detected tri-mode SHG/THG/CARS-2850cm-1 imaging of unstained rat mammary tumor from a 15-week-old carcinogen-injected rat. Collagen attains the large-scale strand-like structure in Fig. S3.5 to enclose and protect the confirmed nerve.
M. Dantus
The material removal rate is increased by 56 times The maximum aspect ratio is increased by 3 times
Jiang L., Liu P.J., Yan X.L., Leng N., Xu C.C., Xiao H., Lu Y.F., Optics Letters, 2012, 37(14).
Drilling of Microchannels by fs Pulse EDC
Prof. Lan Jian
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Accanto N, Piatkowski L, Renger J, and van Hulst NF. “Capturing the Optical Phase Response of Nanoantennas by Coherent Second-Harmonic Microscopy. Nano Lett. 14, 4078 (2014)
Capturing the Optical Phase Response of Nanoantennas
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Part I. What is spectral pulse shaping?
Part II. How to shape a pulse
Further Reading List
Part III. Applications
Temas a Tratar
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Further Recommended Reading Selected Papers on Shaper Based Pulse Characterization and Compression T. Baumert, T. Brixner, V. Seyfried, M. Strehle, and G. Gerber, "Femtosecond pulse shaping by an evolutionary algorithm with feedback," Appl. Phys. B-Lasers Opt. 65, 779 (1997). B. W. Xu, J. M. Gunn, J. M. Dela Cruz, V. V. Lozovoy, and M. Dantus, "Quantitative investigation of the multiphoton intrapulse interference phase scan method for simultaneous phase measurement and compensation of femtosecond laser pulses," J. Opt. Soc. Am. B-Opt. Phys. 23, 750 (2006). B. von Vacano, T. Buckup, and M. Motzkus, "In situ broadband pulse compression for multiphoton microscopy using a shaper-assisted collinear SPIDER," Optics Letters 31, 1154-1156 (2006) Y. Coello, V. V. Lozovoy, T. C. Gunaratne, B. Xu, I. Borukhovich, C. -h. Tseng, T. Weinacht, and M. Dantus, "Interference without an interferometer: a different approach to measuring, compressing, and shaping ultrashort laser pulses," J. Opt. Soc. Am. B 25, A140-A150 (2008) A. Galler and T. Feurer, "Pulse shaper assisted short laser pulse characterization," Appl. Phys. B-Lasers Opt. 90, 427 (2008). D. Pestov, V. V. Lozovoy, and M. Dantus, "Single-beam shaper based pulse characterization and compression using MIIPS sonogram," Opt. Letters 35, 1422-1424 (2010) P. Schlup, R. A. Bartels, Impact of measurement noise in tomographic ultrafast retrieval of transverse light E-Fields (TURTLE) ultrashort polarization characterization, IEEE Photonics Journal, 1, 163 (2010) T. Wu, J. Tang, B. Hajj, and M. Cui, “Phase resolved interferometric spectral modulation (PRISM) for ultrafast pulse measurement and compression,” Opt. Express 19, 12961-12968 (2011) M. Miranda et al. “Characterization of broadband few-cycle laser pulses with the d-scan technique,” Opt Express 20, 18732-18743 (2012) V. Loriot, G. Gitzinger, and N. Forget, “Self-referenced characterization of femtosecond laser pulses by chirp scan,” Optics Express 21, 24879-24893 (2013) D. E. Wikcox and J. P. Ogilvie, “Comparison of pulse compression methods using only a pulse shaper,” J. Opt. Soc. Am. B 31, 1544-1554 (2014) V.V. Lozovoy, G. Rasskazov, D. Pestov, and M. Dantus, “Quantifying noise in ultrafast laser sources and its effect on nonlinear applications,” Optics Express 23, 12037-12044 (2015).
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Further Recommended Reading
Recent Papers on Pulse Shaping Techniques E. Frumker and Y. Silberberg, "Phase and amplitude pulse shaping with two-dimensional phase-only spatial light modulators," Journal of the Optical Society of America B 24, 2940-2947 (2007). J. W. Wilson, P. Schlup, and R. A. Bartels, "Ultrafast phase and amplitude pulse shaping with a single, one-dimensional, high-resolution phase mask," Opt. Express 15, 8979-8987 (2007). D. Pestov, V. V. Lozovoy, and M. Dantus, "Multiple Independent Comb Shaping (MICS): Phase-only generation of optical pulse sequences," Opt. Express 17, 14351 (2009). J. Extermann, S.M. Weber, D. Kiselev, L. Bonacina, S. Lani, F. Jutzi, W. Noell, N.F. de Rooij, and J.-P. Wolf, “Spectral phase, amplitude, and spatial modulation from ultraviolet to infrared with a reflective MEMS pulse shaper,” Opt. Express 19, 7580 (2011). F. Ferdous, et al, “Spectral line-by-line pulse shaping of on-chip microresonator frequency combs”, Nature Photonics 5, 770 (2011). D.S. Moore, S.D. McGrane, M.T. Greenfield, R.J. Scharff, R.E. Chalmers, “Use of the Gerchberg–Saxton algorithm in optimal coherent anti-Stokes Raman spectroscopy,” Anal. Bioanal. Chem. 402, 423 (2012). D. Pestov, A. Ryabtsev, G. Rasskazov, V.V. Lozovoy, and M. Dantus, “Real-time single-shot measurement and correction of pulse phase and amplitude for ultrafast lasers,” Opt. Eng. 53, 051511 (2014) A. Konar, V.V. Lozovoy, and M. Dantus, “Solvent Environment Revealed by Positively Chirped Pulses,” J. Phys. Chem. Lett. 5, 924–928 (2014) G. Rasskazov, A. Ryabtsev, V.V. Lozovoy and M. Dantus, “Laser-induced dispersion control,” Optics Letters 39 (2014) M. Dantus and K. Monro, “Ultrafast Temporal Shaping Is Coming of Age,” Biophotonics 21, 24-28 (2014) I. Saytashev, B. Xu, M.T. Bremer, and M. Dantus, “Simultaneous Selective Two-Photon Microscopy Using MHz Rate Pulse Shaping and Quadrature Detection of the Time-Multiplexed Signal,” Ultrafast Phenomena XIX, K. Yamanouchi et al., Eds. (Springer Proceedings in Physics 162, 2015) V.V. Lozovoy, G. Rasskazov, A. Ryabtsev, and M. Dantus, “Phase-only synthesis of ultrafast stretched square pulses,” Optics Express 23, 27105-27112 (2015).
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Further Recommended Reading
Other interesting references Y.Nabekawa, et al., “Multi-terawatt laser system generating 12-fs pulses at 100 Hz repetition rate,” Appl. Phys. B 101, 523 (2010). D. Brinks et al., “Visualizing and controlling vibrational wave packets of single molecules”, Nature, 466, 905 (2010). O. Katz, E. Small, Y. Bromberg and Y. Silberberg, “Controlling ultrashort pulses in scattering media,” Nat. Photonics 5, 372 (2011). J. Kohler, M. Wollenhaupt, T. Bayer, C. Sarpe, T. Baumert, “Zeptosecond precision pulse shaping,” Optics Express 19, 11638 (2011). H. Frostig, O. Katz, A. Natan, and Y. Silberberg, “Single-pulse stimulated Raman scattering spectroscopy,” Opt. Lett. 36, 1248 (2011). H. Tu, Y. Liu, D. Turchinovich, and S. A. Boppart, "Compression of fiber supercontinuum pulses to the Fourier-limit in a high-numerical-aperture focus," Opt. Lett. 36, 2315 (2011). S. Berweger, J.M. Atkin, X.J.G. Xu, R.L. Olrnon, M.B. Raschke, “Femtosecond Nanofocusing with Full Optical Waveform Control”, Nano Lett. 11, 4309 (2011). P. Wrzesinski, et al., “Binary phase shaping for selective single-beam CARS spectroscopy and imaging of gas-phase molecules”, J. Raman Spec. 42, 393-398 (2011) P. Wrzesinski, et al., “Group-velocity-dispersion measurements of atmospheric and combustion-related gases using an ultrabroadband-laser source ”, Optics Express 19, 5163-5170 (2011) M. Bremer, P. Wrzesinski, N. Butcher, V. V. Lozovoy and M. Dantus, “Highly Selective Standoff Detection and Imaging of Trace Chemicals in a Complex Background using Single-Beam Coherent Anti-Stokes Raman Scattering”, Applied Physics Letters 99, 101109 (2011) P. Devi, V. V. Lozovoy and M. Dantus, “Measurement of Group Velocity Dispersion of Solvents Using 2-cycle Femtosecond Pulses: Experiment and Theory”, AIP Advances 1, 032166 (2011)
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Further Recommended Reading
Other interesting references H.J. Wu, Y. Nichyama, T. Narushima, K. Imura, and H. Okamoto, “Sub-20-fs Time-Resolved Measurements in an Apertured Near-Field Optical Microscope Combined with a Pulse-Shaping Technique,” Appl. Phys. Express 5, 062002 (2012). L. Jiang, P. Liu, X. Yan, Ni Leng, Ch. Xu, H. Xiao, and Y. Lu, “High-throughput rearsurface drilling of microchannels in glass based on electron dynamics control using femtosecond pulse trains”, Optics Letters 37, 2781 (2012). A. Gamouras, R. Mathew, and K.C. Hall, “Optically engineered ultrafast pulses for controlled rotations of exciton qubits in semiconductor quantum dots”, J. Appl. Phys. 112, 014313 (2012) A. Konar, J. Shah, V. V. Lozovoy and M. Dantus, “Optical Response of Fluorescent Molecules Studied by Synthetic Femtosecond Laser Pulses”, Journal of Physical Chemistry Letters 3, 1329–1335 (2012) A.P. Rudhall, et al., “Exploring the ultrashort pulse laser parameter space for membrane permeabilisation in mammalian cells”, Scientific Reports 2, 858 (2012) A. Konar, V. V. Lozovoy and M. Dantus, “Solvation Stokes-Shift Dynamics Studied by Chirped Femtosecond Laser Pulses”, Journal of Physical Chemistry Letters 3, 2458–2464 (2012) M. T. Bremer and M. Dantus, “Standoff explosives trace detection and imaging by selective stimulated Raman scattering”, Appl. Phys. Lett. 103, 061119 (2013) N. Accanto, J. B. Nieder, L. Piatkowski, M. Castro-Lopez, F. Pastorelli, D. Brinks, N. F. van Hulst, “Phase control of femtosecond pulses on the nanoscale using second harmonic nanoparicles,” Light Sci. Appl. 3, e143 (2014). A. Konar, V.V. Lozovoy, and M. Dantus, “Solvent Environment Revealed by Positively Chirped Pulses,” Ultrafast Phenomena XIX, K. Yamanouchi et al., Eds. (Springer Proceedings in Physics 162, 2015) R. Mittal, R. Glenn, I. Saytashev, V. V. Lozovoy and M. Dantus, “Femtosecond Nanoplasmonic Dephasing of Individual Silver Nanoparticles and Small Clusters,” J. Phys. Chem. Lett. 6, 1638–1644 (2015). N. Accanto, L. Piatkowski, I. M. Hancu, J. Renger, N. E. van Hulst, “Resonant plasmonic nanoparticles for multicolor second harmonic imaging,” Appl. Phys. Lett. 108, 083115 (2016).
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Further Recommended Reading
Reviews/Books on Pulse Shaping A. M. Weiner, "Femtosecond pulse shaping using spatial light modulators," Rev. Sci. Instrum. 71, 1929-1960 (2000). D. Goswami, "Optical pulse shaping approaches to coherent control," Phys. Rep.-Rev. Sec. Phys. Lett. 374, 385-481 (2003). V. V. Lozovoy and M. Dantus, "Coherent control in femtochemistry," ChemPhysChem 6, 1970-2000 (2005). Y. Coello, V. V. Lozovoy, T. C. Gunaratne, B. W. Xu, I. Borukhovich, C. H. Tseng, T. Weinacht, and M. Dantus, "Interference without an interferometer: a different approach to measuring, compressing, and shaping ultrashort laser pulses," Journal of the Optical Society of America B-Optical Physics 25, A140-A150 (2008). A. M. Weiner, Ultrafast Optics, Wiley Series in Pure and Applied Optics (John Wiley & Sons, Inc., Hoboken, NJ, 2009).
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Acknowledgements
Authors: I am very grateful to present members of my research group who helped me compile these lectures. Dr. Dmitry Pestov, Marshall Bremer, Xin Zhu, Dr. Vadim V. Lozovoy. I am also grateful to all the group members that obtained the results presented here. Their articles are cited next to each figure.
Marcos Dantus
Collaborators: I take special joy in collaborating with a number of research groups and companies. I want to specially acknowledge the following collaborations. Professors Sunney Xie (Harvard), Stephen Boppart (UIUC) Dr. Jim Gord (Air Force Research Lab, CARS) Dr. Sukesh Roy (Spectral Engines LLC, CARS, Machining) Dr. Dmitry Pestov, Dr. Bingwei Xu (Biophotonic Solutions Inc)
Funding: I am especially grateful for funding from the following agencies, which have made these advances possible: NSF, DOE, ARO, AFOSR, NIH, DHS, and the Michigan Economic Development Corporation.
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Gracias
Si tienes alguna pregunta o interés de llevar a cabo tus estudios de doctorado o alguna colaboración, comunícate conmigo.
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