Nonlinear Optics and Laser Science

Presented at the Joint OSA Frontiers in Optics and APS/DLS Laser Science Meeting, October 20, 2016.

Robert W. BoydDepartment of Physics and School of Electrical Engineering and Computer Science

University of Ottwa

The Institute of Optics and Department of Physics and Astronomy

University of Rochester

Department of Physics and AstronomyUniversity of Glasgow

Arthur L. Schawlow Prize in Laser Science

For fundamental contributions to the field of nonlinear optics, including the development of approaches for controlling the velocity of light, of quantum imaging methods, and of composite nonlinear optical materials.

controlling the velocity of light

Controlling the Velocity of Light

– Light can be made to go: slow: vg << c (as much as 106 times slower!) fast: vg > c backwards: vg negative Here vg is the group velocity: vg = c/ng ng = n + ω (dn/dω)

Review article: Boyd and Gauthier, Science 326, 1074 (2009).

“Slow,” “Fast” and “Backwards” Light

– Velocity controlled by structural or material resonances

absorptionprofile

n

ng

ω

ω

ω

ω 0

absorptionresonance

slow light

fast light

α

n

ng

ω

ω

ω

ω 0

gainresonance

g

fast light

slow light

Slow and Fast Light Using Isolated Gain or Absorption Resonances

ng = n + ω (dn/dω)

Observation of Superluminal and“Backwards” Pulse Propagation

rcoun erin v

B n rc en

y

Normalized length |ng|Z (m)0 0.5-0.5 1x10-1 5

6t = 0

6t = 3

6t = 6

6t = 9

6t = 12

6t = 15

or or rconc r c

G ring,

c ,

propagation distance

ng negative

• he limiting resolution of a broad class of spectrometers is gi en in a e- numbers by the in erse of a characteristic dimension L of the spectrometer

• We use slo -light methods to design spectrometers ith resolution that e ceeds this con entional limit by a factor as large as the group inde .

• his ability allo s us to miniaturi e spectrometers ith no loss of resolution for lab-on-a-chip applications.

≈

an We eat the L esolution imit of tandard pectrometers

e elopment of iniaturi ed hip- cale pectrometers

L

L

Fourier-transform spectrometer Grating spectrometer

Our Goal

Replace this: with this:

Beam Splitter

Beam Splitter

Slow Light Medium

LTunable Laser

Detector

dd

=d

dnLc

=Lc

(n +dnd

) =Lng

c

• The spectral sensitivity of an interferometer is increased by a factor as large as the group index of a material placed within the interferometer.

Slow-light interferometer:

• ere is why it works:

Shi, Boyd, Gauthier, and Dudley, Opt. Lett. 32, 915 (2007)hi oyd amacho udyasetu and o ell . hi and oyd . pt. oc. m. .

• We ant to e ploit this effect to build chip-scale spectrometers ith the same resoluation as large laboratory spectromters

Simple analysis

Our Approach: Chip-Scale Slow-Light Spectrometer

• We use line-defect a eguides in photonic crystals as our slo light mechanism

Slow-down factors of greater than 100 have been observed in such structures.

photonic crystal waveguide

ASE

fiber beam splitter

OSA6q

Laboratory Characterization of the Slow-Light Mach-Zehnder Interferometer

esolution (quarter wave) is 17 pm or 2.1 GHz or 0.071 cm-1

ow-light waveguide is only 1 mm long!)

1535 1540 1545 15500.5

0.6

0.7

0.8

0.9

1

wavelength (nm)

Nor

mal

ized

inte

nsity 1554 1555

0.6wavelength (nm)

0.9

1555

• Interference fringes

Magaña-Loaiza, Gao, Schulz, Awan, Upham, Dolgaleva, and Boyd, in review.

source

Liapis, Gao, Siddiqui, Shi, Boyd, Appl. Phys. Lett. 108, 021105 (2016).

Input spectrum

λ1

λ2 λ3 λ4

λ5

λ0(T)

On-chip spectrometer based on high-Q photonic crystal cavities

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500 nm )*

quantum imaging

PDC

photodetector array

"bucket" detectorobject to be imaged

coincidencecircuitry

Ghost (Coincidence) Imaging

• Obvious applicability to remote sensing!

entangled photon pair

• Is this a purely quantum mechanical process? (No)

Strekalov et al., Phys. Rev. Lett. 74, 3600 (1995).Pittman et al., Phys. Rev. A 52 R3429 (1995).Abouraddy et al., Phys. Rev. Lett. 87, 123602 (2001).Bennink, Bentley, and Boyd, Phys. Rev. Lett. 89 113601 (2002).

Bennink, Bentley, Boyd, and Howell, PRL 92 033601 (2004)Gatti, Brambilla, and Lugiato, PRL 90 133603 (2003)Gatti, Brambilla, Bache, and Lugiato, PRL 93 093602 (2003)

• Can Brown-Twiss intensity correlations lead to ghost imaging? (Yes)

(imaging under adverse situations, bio, two-color, etc.)

Padgett Group

Is Ghost Imaging a Quantum Phenomenon?

Entangled Imaging and Wave-Particle Duality: From the Microscopicto the Macroscopic Realm

A. Gatti, E. Brambilla, and L. A. LugiatoINFM, Dipartimento di Scienze CC.FF.MM., Universita dellíInsubria, Via Valleggio 11, 22100 Como, Italy

(Received 11 October 2002; published 3 April 2003)We formulate a theory for entangled imaging, which includes also the case of a large number of

photons in the two entangled beams. We show that the results for imaging and for the wave-particleduality features, which have been demonstrated in the microscopic case, persist in the macroscopicdomain. We show that the quantum character of the imaging phenomena is guaranteed by thesimultaneous spatial entanglement in the near and in the far field.

DOI: 10.1103/PhysRevLett.90.133603 PACS numbers: 42.50.Dv, 03.65.Ud

P H Y S I CA L R EV I EW L E T T ER Sweek ending4 APRIL 2003VOLUME 90, NUMBER 13

Entangled Imaging and Wave-Particle Duality: From the Microscopicto the Macroscopic Realm

A. Gatti, E. Brambilla, and L. A. LugiatoINFM, Dipartimento di Scienze CC.FF.MM., Universita dellíInsubria, Via Valleggio 11, 22100 Como, Italy

(Received 11 October 2002; published 3 April 2003)We formulate a theory for entangled imaging, ich includes also the case of a large number of

photons in the two entangled beams. We show that the results for imaging and for the wave-particleduality features, which have been demonstrated in the microscopic case, persist in the macroscopicdomain. We show that the quantum character of the imaging phenomena is guaranteed by thesimultaneous spatial entanglement in the near and in the far field.

10.1103/PhysRevLett.90.133603 PACS numbers: 42.50.Dv, 03.65.Ud

P H Y S I CA L R EV I EW L E T T ER Sweek ending4 APRIL 2003VOLUME 90, NUMBER 13

near field

Good imaging observed in both the near and far field.

far field

Near- and Far-Field Ghost Imaging Using Quantum Entanglement

-500 0 500position (mm)

-500 0 500position (mm)

inte

nsity

inte

nsity

Bennink, Bentley, Boyd, and Howell, Phys. Rev. Lett., 92, 033601, 2004.

Good imaging can be obtained only in near field or far field.Detailed analysis shows that in the quantum case the space- bandwidth exceeded the classical limit by a factor of three.

near field

far field

Near- and Far-Field Ghost Imaging With a Classical Source

HeNe

34 cm

10 cm

testpattern

20 cm

14 cm

34 cm

HeNe

5 cm10 cm

5 cm

10 cm

testpattern

20 cm

-500 0 500position (mm)

-500 0 500position (mm)

inte

nsity

inte

nsity

Wavelength-Shifted (Two-Color Ghost) Microscopy

Photon-sparse microscopy: visible light imaging using infrared illumination, R.S. Aspden, N. R. Gemmell, P.A. Morris, D.S. Tasca, L. Mertens, M.G. Tanner, R. A. Kirkwood, A. Ruggeri, A. Tosi, R. W. Boyd, G.S. Buller, R.H. Hadfield, and M.J. Padgett, Optica 2, 1049 (2015).

• Pump at 355 nm produces signal at 460 nm and idler at 1550 nm• Object is illuminated at 1550 nm, but image is formed (in coincidence) at 460 nm • Wavelength ratio of 3.4 is the largest yet reported.

Setup

Typical images

Quantum Imaging by Interaction-Free Measurement

imaging setup

singlephoton

singlephoton

results

M. Renninger, Z. Phys. 15S, 417 (1960). R. H. Dicke, Am. J. Phys. 49, 925 (1981). A. Elitzur and L. Vaidman, Found. Phys. 23, 987 (1993). L. Vaidman, Quant. Opt. 6, 119 (1994). P. Kwiat, H. Weinfurter, T. Herzog, A. Zeilinger, and M. A. Kasevich, Phys. Rev. Lett. 74, 4763 (1995) A. G. White, J. R. Mitchell, O. Nairz, and P. G. Kwiat, Phys. Rev. A 58, 605 (1998).

Interaction-Free Measurements and Entangled Photons

.D1

D2small opaque object

twospatially entangledphotons

photodetector arrayIf detector D2 clicks, will the spot sizeon the detector array measured incoincidence become smaller?

oes it lead to the collapse of the wavefunction of its entangled partner?

oes an interaction-free measurement constitute a “real” measurement?

Experimental ResultsInteraction-free ghost image of a straight wire

• Note that the interaction-free ghost image is about five times narrower than full spot size on the ICCD camera

• This result shows that interaction-free measurements lead to wavefunction collapse, just like standard measurements.

coincidence counts singles counts

With Frédéric Bouchard, Harjaspreet Mand, and Ebrahim Karimi,

composite nonlinear optical materials

Nanocomposite Materials for Nonlinear Optics• Maxwell Garnett • Bruggeman (interdispersed)

• Fractal Structure • Layeredλ

2a

b

εi

εh

εaεb

εa

εb

- In each case, scale size of inhomogeneity << optical wavelength

- Thus all optical properties, such as n and χ(3), can be described by effective (volume averaged) values

Recent review: Dolgaleva and Boyd, Advances in Optics and Photonics 4, 1–77 (2012).

Alternating layers of TiO2 and the conjugated polymer PBZT.

Fischer, Boyd, Gehr, Jenekhe, Osaheni, Sipe, and Weller-Brophy, Phys. Rev. Lett. 74, 1871 (1995).

Measure NL phase shift as a function of angle of incidence.

A composite material can display a larger NL response than its constituents!

Enhanced NLO Response from Layered Composite Materials

3.2 times enhancement!35% enhancement in r(3)

Diode Laser(1.37 um)

polarizer

photodiode

gold electrode

ITO

BaTiO3

1 kHz

lockin amplifier

signal generator

dc voltmeter

glass substrate

AF-30 inpolycarbonate

Quadratic EO effect

Nelson and Boyd, APL 74 2417 (1999)

Gold-Doped Glass: A Maxwell-Garnett Composite

gold volume fraction approximately 10-6

gold particles approximately 10 nm diameter

• Red color is because the material absorbs very strong in the blue, at the surface plasmon frequency

• Composite materials can possess properties very differentfrom those of their constituents.

Developmental Glass, Corning Inc.

Red Glass CaraffeNurenberg, ca. 1700

Huelsmann Museum, Bielefeld

8

6

9

4

1

7

2

5

3

-10 0 10 20 30z (cm)

0.5

0.6

0.7

0.8

0.9

1.0

1.1

1.2

1.3

D.D. Smith, G. Fischer, R.W. Boyd, D.A.Gregory, JOSA B 14, 1625, 1997.

Increasing GoldContent

2(3) (3) (3)eff i hf L= +L2

norm

aliz

ed tr

ansm

ittan

ce

Counterintuitive Consequence of Local Field Effects

Cancellation of two contributions that have the same signGold nanoparticles in a reverse saturable absorber dye solution (13 μM HITCI)

(3)Im < 0

(3)Im > 0

RSA

SAβ < 0

β > 0

0.95 1.05 1.15 1.25 1.350

0.030

0.060

0.090

Wavelength (μm)

5 10-5 cm2/GW

q

θ increases

n 2 (e

ff) (c

m2 /

GW

)

Wavelength dependence of n2

Indium tin oxide (ITO) displays enormously strong NLO properties: • n2 is 2.5 x 105 times that of fused silica • nonlinear change in refractive index as large as 0.8 • response time of 270 fs

Some possible applications and implications • Efficient all-optical switching • New regime of spatial soliton propagation • Control of radiative processes

Huge Nonlinear Optical Response of ITO near its Epsilon-Near-Zero Wavelength

Alam, De Leon, BoydScience, 2016.

0.95 1.05 1.15 1.25 1.35 1.45−1.5

−1

−0.5

0

0.5

1

1.5

Wavelength (mm)

λ0

Perm

ittivi

ty,

Im ( )

Re ( )

Drude fit

MeasuredDrude

Wavelength dependence of ε

Arthur L. Schawlow