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PHOTONICS RESEARCH GROUP

NONLINEAR OPTICS IN SILICON WIRE WAVEGUIDES: TOWARDS INTEGRATED LONG WAVELENGTH LIGHT SOURCES

B. Kuyken

1Photonics Research Group, Ghent University, Ghent, Belgium 2Center for Nano- and Biophotonics, Ghent, Belgium

PHOTONICS RESEARCH GROUP 1 Photonics Group – Ghent University - IMEC

Ghent Leuven

250 people (70 in photonics) Nanotechnology Research Center 2 identities: University and IMEC 1700 people Located at the university Independent Research Center III-V Processing Main Activity: R&D for CMOS scaling Photonic Characterisation Clean-room facilities for 200mm and Simulation and Design 300mm Silicon processing

PHOTONICS RESEARCH GROUP 2 Photonics Research Group

Facilities 600m2 Clean rooms (200m2 for photonics) III-V processing technology (GaAs, InP) Nanopatterning (Focused ion beam) Optical Characterisation Labs Design and Simulation Tools

PHOTONICS RESEARCH GROUP 3 IMEC

300mm clean room

IMEC 4

NanoTechnology Research Centre 200mm clean room Location: Leuven, Belgium Population: 1700 > 8000m2 Clean room space 200 and 300mm CMOS fabrication lines

IMEC 2 IMEC 1 IMEC 3

PHOTONICS RESEARCH GROUP 4 “Traditional” telecom silicon photonics in our group

PHOTONICS RESEARCH GROUP 5 Waveguides Etched wire in silicon 460 x 220 nm2 straight loss: 1.36dB/cm

460nm

220nm

1.36dB/cm Si

oxide

PHOTONICS RESEARCH GROUP 6 High-speed operation

Travelling-wave electrodes operation up to 40Gbps

28Gbit/s

PHOTONICS RESEARCH GROUP 7 Germanium Photodiodes Ge-on-Si PD: Vertical p-i-n

n+ Ge i-Ge p-type Ge xx x xx x p+ Si xx x xxxxxxxxx xx x p+ Si p-type Si

Ge epi on silicon BOX

Si substrate Integrated in waveguides

Selective Ge growth on Si Optical mode

PHOTONICS RESEARCH GROUP 8 Spectroscopy at longer wavelengths: Strong absorption features

x100

Absorption CO2 1E-17 x100 1E-18 x100

1E-19

.) 1E-20 a.u 1E-21 1E-22 1E-23

1E-24 Absorption ( Absorption

Absorption 1E-25 1E-26 1500 2000 2500 3000 3500 4000 4500 5000 5500 Wavelength (nm)

PHOTONICS RESEARCH GROUP 9 Mid-infrared is the fingerprint region

Widely tunable source in the mid-infared?

PHOTONICS RESEARCH GROUP 10 The Silicon-on-insulator platform for long wavelengths

SiO2

Silicon

0 1 2 3 4 5 Wavlength (um) “Standard” SOI waveguides “Almost standard” waveguides 900 nm 1400 nm

220 nm 400 nm

Loss: 1-2 dB/cm from 3.5-3.9 um Loss: 0.6 dB/cm from 2.0-2.5 um Waveguides are transparent up to 4.2 um

PHOTONICS RESEARCH GROUP 11 Outline

Very basic introduction to

Phasematching in Silicon waveguides

Parametric amplification in Silicon waveguides

Supercontinuum generation in silicon waveguides

A silicon based optical parametric oscillator

What is next?

PHOTONICS RESEARCH GROUP 12 Nonlinear vs linear optics: light matter interaction electron

Energy electron photon

Nothing really happens, the light is a bit slowed down

PHOTONICS RESEARCH GROUP 13 Nonlinear optics: Four-wave mixing

Energy electron

PHOTONICS RESEARCH GROUP 14 Interaction with charges: Polarization

Energy electron

(1) Induced Polarization has same PElin   as electric field

Energy electron

(3) Pnonlin   EEE

PHOTONICS RESEARCH GROUP 15 Silicon as a nonlinear material

High confinement in Si nanophotonic waveguides enhances effective nonlinearity by : ~ 105 compared to single-mode fiber (SMF) ~ 104 compared to highly nonlinear fiber (HNLF)

~10 m ~1 mm HNLF fiber silicon waveguide

pump Chip-scale nonlinear optical applications using four-wave-mixing (FWM): Ultra-fast digital systems: Tbps all-optical signal processing Wavelength-provisioned networks: Wavelength conversion On-chip light sources: OPOs, supercontinuum generation  signal  idler Quantum computation: Entangled photon-pair generation

PHOTONICS RESEARCH GROUP 16 Outline

Very basic introduction to nonlinear optics

Phasematching in Silicon waveguides

Parametric amplification in Silicon waveguides

Supercontinuum generation in silicon waveguides

A silicon based optical parametric oscillator

What is next?

PHOTONICS RESEARCH GROUP 17 Nonlinear optics: Four-wave mixing

Energy electron

PHOTONICS RESEARCH GROUP 18 Constructive interference of generated photons?

PHOTONICS RESEARCH GROUP 19 Generated photons need to be in phase!

Photons are created along the waveguide

Phasematching ensures constructive interference

PHOTONICS RESEARCH GROUP 20 Another way of looking at it: conservation of momentum

Impulse is conserved p

Impulse needs to be conserved as well

Impulse:

Input: pinp= ħkpump+ ħkpump

Output: poutp= ħksignal+ ħkidler

PHOTONICS RESEARCH GROUP 21 Another way of looking at it: conservation of momentum

Input: pinp= ħkpump+ ħkpump

Output: poutp= ħksignal+ ħkidler

ħkpump+ ħkpump = ħksignal+ ħkidler+ (small) correction

Correction results from the fact that the refractive index is 2n k  dependent on the power/intensity: n = n0 +n2I 

PHOTONICS RESEARCH GROUP 22 Another way of looking at it: conservation of momentum

Input: pinp= ħkpump+ ħkpump

Output: poutp= ħksignal+ ħkidler

ħkpump+ ħkpump = ħksignal+ ħkidler+ (small) correction

2kpump = ksignal+ kidler+ (small) correction

This is very good because we can engineer the k vectors of the waves involved in a silicon photonic waveguide. This is called dispersion engineering

PHOTONICS RESEARCH GROUP 23 Phasematching in high index contrast waveguides

2k pump  kidler  ksignal  (2P) k  k k  idler signal  (P) pump 2

Small correction for SPM/XPM

High confinement in silicon allows for dispersion engineering n    2 Ac

Figure: MA Foster et al., “Broad-band optical parametric gain on a silicon photonic chip”, Nature, 2006

PHOTONICS RESEARCH GROUP 24 Dispersion engineering in a silicon waveguide

k k  k k  idler signal  (P) pump 2

P

ωs ωp ωi ω

Δω1 Δω1

PHOTONICS RESEARCH GROUP 25 Dispersion engineering in a silicon waveguide

k k  k k  idler signal  (P) pump 2

P

ωs ωp ωi ω

Δω1 Δω1

2k  0 2

PHOTONICS RESEARCH GROUP 26 Outline

Very basic introduction to nonlinear optics

Phasematching in Silicon waveguides

Parametric amplification in Silicon waveguides

Supercontinuum generation in silicon waveguides

A silicon based optical parametric oscillator

What is next?

PHOTONICS RESEARCH GROUP 27 Parametric Amplification in a 2 cm silicon waveguide

Silicon waveguide chip

2 cm waveguide with a loss of 2.5 dB/cm

300 um 300

700 um

PHOTONICS RESEARCH GROUP 28 Parametric Amplification in a silicon waveguide

Silicon waveguide chip

Pump: ~2 ps, 13.5W peak power at 2170 nm Gain: > 40 dB FWM gain ~ 580 nm gain bandwidth

B. Kuyken, et al., Mid-infrared broadband modulation instability and 50dB Raman assisted parametric gain in silicon photonic wires. Opt. Letters (2011)

PHOTONICS RESEARCH GROUP 29 Extensive dispersion engineering

k 2 4 k  k 2  0 4  0 k  idler signal  (P)   pump 2

P

ω ω ω ωs s p i ωi ω

Δω1 Δω1 Δω2 Δω2

PHOTONICS RESEARCH GROUP 30 Up-Conversion of Mid-IR Signals to Telecom Band

Pump: ~2 ps, 37W peak power at 1950 nm Gain: > 19.5 dB FWM gain

X. Liu, B. Kuyken, et al,” Bridging the mid-infrared to telecom gap with A silicon wavelength translator”, Nat. Photonics (2012)

31 PHOTONICS RESEARCH GROUP 31 Generation of long wavelength light

Pump: ~2 ps, 37W peak power at 1950 nm Gain: > 8.5 dB FWM gain

PHOTONICS RESEARCH GROUP 32 More Extensive dispersion engineering

2 4 k  0  0  2  4

P

ω ωs p ωi ω Δω2 Δω2

There is no phase matching anymore close to the pump

PHOTONICS RESEARCH GROUP 33 Phasematching as a function of pump wavelength 1650 nm

400 nm

PHOTONICS RESEARCH GROUP 34 Conversion over more than a octave in silicon waveguide

Pump: 20W @2190 nm To FTIR

Signal: CW @1565 nm

Idler generated @ 3635nm

B. Kuyken, et al, “Mid-Infrared Generation by Frequency Down-Conversion Across 1.2 Octaves in a Normally-Dispersive Silicon Wire“. to CLEO 2013

PHOTONICS RESEARCH GROUP 35 Amplification of telecom signals

Pump: 20W @2190 nm To fast photo detector Signal: CW laser @1565 nm

1.4 13 dB amplification

1.2 C.W. light 1.0

0.8

0.6

power (a.u.) power 0.4

0.2 0 100 200 300 400 500 Time (ps)

PHOTONICS RESEARCH GROUP 36 Outline

Very basic introduction to nonlinear optics

Phasematching in Silicon waveguides

Parametric amplification in Silicon waveguides

Supercontinuum generation in silicon waveguides

A silicon based optical parametric oscillator

What is next?

PHOTONICS RESEARCH GROUP 37 Supercontinuum generation in silicon waveguides

PHOTONICS RESEARCH GROUP 38 Supercontinuum generation in silicon waveguides

900 nm

220 nm

-20 Output -30 Pump: 12.7 W @2120nm Input -40 -50 -60 -70

-80 OutputSpectrum(dB) 1600 1800 2000 2200 2400 Wavelength (nm) B. Kuyken, et al., Mid-infrared to telecom-band supercontinuum generation in highly nonlinear silicon-on insulator wire waveguides,Optics Express, (2011)

PHOTONICS RESEARCH GROUP 39 Supercontinuum generation in silicon waveguides

Very interesting as a broadband light source, but very noisy.

Every pulse amplifies background , which is very different from pulse to pulse.

PHOTONICS RESEARCH GROUP 40 Coherent supercontinuum generation

Pumping a waveguide with short ~50 fs pulses.

Supercontinuum generated through the process of soliton fission and dispersive wave generation. Is deterministic, not noise driven

All pulses generate the same spectrum

PHOTONICS RESEARCH GROUP 41 Coherent supercontinuum generation

1600 nm Pump: at 2290 nm, 60 fs, 300W

400 nm

0.01 Output Spectrum Input Spectrum

1E-3

1E-4

Intensity 1E-5 More than an octave

1E-6

1E-7 1.50 1.75 2.00 2.25 2.50 2.75 3.00 3.25 Wavelength (um)

PHOTONICS RESEARCH GROUP 42 How is a broadband source coherent?

PHOTONICS RESEARCH GROUP 43 Is the supercontinuum a frequency comb?

PHOTONICS RESEARCH GROUP 44 Is the supercontinuum a frequency comb?

Sweep

-50 73 kHz -30 -60 Continuous laser at 1586 nm -70 -80 -40 Intensity(dBm) 7.0 7.5 8.0 8.5 9.0 RF Frequnecy (MHz)  =28.4MHz beat  =100MHz  =71.4MHz beat beat

-50 Intensity (dBm)

-60

0 20 40 60 80 100 RF Frequency (MHz)

PHOTONICS RESEARCH GROUP 45 Is the supercontinuum a frequency comb?

Beating with a naarow line width source at 2420 nm and 2580 nm

beatnote at 2580 nm -40 -30 -45  =4.6MHz -60 beat 51 kHz 53 kHz -60  =100MHz beat -50 -40 -75

-75 Intensity(dBm)  =33.7MHz Intensity(dBm) 30.0 30.5 31.0 31.5 32.0 10.0 10.5 11.0 11.5 12.0 beat RF Frequnecy (MHz)  =100.2MHz RF Frequnecy (MHz) -60 beat -50

 =66.6MHz beat  =94.5MHz beat

-70 -60

Intensity (dBm) Intensity (dBm)

-80 -70

0 20 40 60 80 100 0 20 40 60 80 100 RF Frequency (MHz) RF Frequency (MHz)

PHOTONICS RESEARCH GROUP 46 The supercontinuum is a frequency comb

0.01 Output Spectrum Input Spectrum

1E-3

1E-4

Intensity 1E-5

1E-6

1E-7 1.50 1.75 2.00 2.25 2.50 2.75 3.00 3.25 Wavelength (um)

Mid infrared frequency combs Extremely interesting for spectroscopy Extremely interesting for metrology Nobel prize in 2005 for T. Haens and J. Hall

PHOTONICS RESEARCH GROUP 47 Outline

Very basic introduction to nonlinear optics

Phasematching in Silicon waveguides

Parametric amplification in Silicon waveguides

Supercontinuum generation in silicon waveguides

A silicon based optical parametric oscillator

What is next?

PHOTONICS RESEARCH GROUP 48 Building an Silicon based tunable light source: Silicon based optical parametric oscillator

Optical Parametric Oscillator

Image: RP photonics

PHOTONICS RESEARCH GROUP 49 Building an Silicon based OPO

Optical Parametric Oscillator

Use robust fiber

Use silicon chip

PHOTONICS RESEARCH GROUP 50 Design of the silicon based OPO

Fiber length ~5m

Due to lack of WDM (DE)MUX beyond 2000 nm

PHOTONICS RESEARCH GROUP 51 Single Pass gain in the silicon chip

. Single Pass gain of almost 60 dB can compensate high losses

70 Gain Conversion Losses at 2100 nm 60 Round trip loss Coupling 2x 7dB 50 Fiber 1 dB Delay line 6 dB 40

splitter 10 dB Gain (dB)Gain 30 Pol Rot 1 dB Waveguide 2 dB 20

10 2000 2050 2100 2150 2200 2250 2300 2350 Wavelength (nm)

Pump: 2ps, 78 MHz rep rate, 24W peak at 2170 nm

PHOTONICS RESEARCH GROUP 52 Output of the OPO with correct delay

. When the delay in the fiber is tuned such that the round trip time in the cavity becomes equal to the repetition rate of the pump pulses, the OPO starts oscillating

. Output of the OPO at 2075 nm when pumped at 2175 nm

Output spectrum at output chip Output Energy (pJ) at output chip

PHOTONICS RESEARCH GROUP 53 Using dispersion in fiber to tune the OPO

12.8 ns

PHOTONICS RESEARCH GROUP 54 The OPO is a widely tunable source

Output spectra for different delays Pulse Energy (pJ) at output of the chip 0 2 4 6 8 10

1

0,1

Powerlinear scale (a.u) >70 nm

0,01 2040 2060 2080 2100 2020 2040 2060 2080 2100 2120 2140 Wavelength (nm) Wavelength (nm)

B. Kuyken, et al., “Widely Tunable Silicon Mid-Infrared Optical Parametric Oscillator”, accepted for publication in optics express

PHOTONICS RESEARCH GROUP 55 Outline

Very basic introduction to nonlinear optics

Phasematching in Silicon waveguides

Parametric amplification in Silicon waveguides

Supercontinuum generation in silicon waveguides

A silicon based optical parametric oscillator

What is next?

PHOTONICS RESEARCH GROUP 56 What is next?

Waveguideloss (dB/cm) as a function of time @ 2.2 um

2.5

2.0

1.5

1.0

0.5

2010 2011 2012

Q factors > 100000

PHOTONICS RESEARCH GROUP 57 Still room for improvement:

S. Selvaraja, et al., ”Advanced 300-mm Waferscale Patterning for Silicon Photonics Devices with Record Low Loss and Phase Errors”,17th OptoElectronics and Communications Conference (OECC 2012), South Korea, p.PDP2-2 p15 (2012)

PHOTONICS RESEARCH GROUP 58 What is next? CW gain in waveguides Amplification as a function of pump power

Air

Si 220 nm

SiO2 900 nm

CW gain for pump powers as low as 40 mW

PHOTONICS RESEARCH GROUP 59 Second order nonlinearities?

Energy electron

(1) PElin  

Energy electron

(3) Pnonlin   EEE

PHOTONICS RESEARCH GROUP 60 Second order nonlinearities? Three wave mixing

Energy electron (2) Pnonlin   EE

Is this possible in silicon?

PHOTONICS RESEARCH GROUP 61 Converting χ(3) to χ(2)

Using a strained silicon nitride layer a DC electric field is induced in the waveguide

(3) (2) Pnonlin () E dc EE Pnonlin  () EE

N Hon, “Periodically-Poled Silicon”, CLEO 2010

PHOTONICS RESEARCH GROUP 62 Three wave mixing

Can potentially very efficient. For now experimental results showing the potential of strained silicon

M. Cazzanelli, “Second- generation in silicon waveguides strained by silicon nitride”, Nat Materials (2012)

PHOTONICS RESEARCH GROUP 63 Also more advanced schematics have been proposed

Efficient conversion to very long wavelengths

N. Hon, “Periodically poled silicon”, Apl Phys Lett (2009)

PHOTONICS RESEARCH GROUP 64 Alternative platforms?

Materials with a built in χ(2) nonlinearity

SiC has recently been proposed. First integrated circuits demonstrated

AlN circuits have been shown and second harmonic generation is also demonstrated

X. Lu, “Silicon carbide ring ” Opt. Expr. (2013) M. Radulaski, “Photonic crystal cavities in cubic (3C) polytype silicon carbide films” Opt. Expr. (2013) H. Pernice, “Second harmonic generation in phase matched aluminum nitride waveguides” Archive (2012)

PHOTONICS RESEARCH GROUP 65 Conclusion

The silicon-on-insulator platform is an excellent platform for doing nonlinear optics

High nonlinearity Dispersion engineering

Enables complex sources such as frequency combs

Way is open for CW experiments

χ(2) nonlinear integrate optics in strained silicon, AlN or SiC

PHOTONICS RESEARCH GROUP 66 CMOS compatible amorphous-Si:H platform

Device layer deposited by PECVD

n~3.6 220 nm a-Si:H

500 nm Q>10000 Loss: 3.5-4.5dB/cm

A-Si:H has a higher bandgap than c-Si

Hence, lower TPA at 1550 nm

S. Selvaraja et al., Optics Communications (2009)

PHOTONICS RESEARCH GROUP 67 Nonlinear properties of a-Si:H waveguides

Measurement of real and imaginary part of gamma through self-phase modulation experiment

PHOTONICS RESEARCH GROUP 68 Results for a 1.1 cm waveguide

1  exp(L)Leff 2IP  exp(L) T

 I =-28/Wm  R =770/Wm FOM>2 (c-Si<~0.5) B. Kuyken et al, Photonics Society Annual Meeting (2010)

PHOTONICS RESEARCH GROUP 69 Parametric amplification in 1.1 cm a-Si:H waveguide Gain/conversion as a function of wavelength at peak power of 5.2W 30 Conversion Gain Max On/off gain 26.5 dB 25 Max On chip gain 23.0 dB

20 c-Si: on/off gain 4.2 dB on chip gain 1.8 dB 15

10

5

0 On/off Gain and conversion (dB) conversion and Gain On/off 1460 1480 1500 1520 1540 1560 1580 1600 Wavelength (nm)

B. Kuyken, et al., Optics Letters (2011)

PHOTONICS RESEARCH GROUP 70 320 Gbit/s sampling of data in 4 mm a-Si:H waveguide

Succesful sampling with conversion efficiency of +12 dB! (c-Si -7.5dB)

H. Ji et al., ECOC (2011)

PHOTONICS RESEARCH GROUP 71 Supercontinuum generation in 900 nm wide waveguide

Waveguide: 1cm Source: Thulium doped mode locked fiber laser at 1950 nm Power: 6, 7,9,15 W

PHOTONICS RESEARCH GROUP 72 extra

PHOTONICS RESEARCH GROUP 73 What is next? Amplification as a function of pump power

Air

Si 220 nm

SiO2 900 nm

CW gain for pump powers as low as 40 mW

PHOTONICS RESEARCH GROUP 74 What is next?

Waveguideloss (dB/cm) as a function of time @ 2.2 um

2.5

2.0

1.5

1.0

0.5

2010 2011 2012

Q factors > 100000

PHOTONICS RESEARCH GROUP 75 Still room for improvement:

S. Selvaraja, et al., ”Advanced 300-mm Waferscale Patterning for Silicon Photonics Devices with Record Low Loss and Phase Errors”,17th OptoElectronics and Communications Conference (OECC 2012), South Korea, p.PDP2-2 p15 (2012)

PHOTONICS RESEARCH GROUP 76 Links with CUDOS

• Generating a long wavelength supercontinuum in silicon waveguides

Measurements planned in week of 11/02

• Design of waveguides for down conversion to longer wavelengths and spectrometers on SOS platform

PHOTONICS RESEARCH GROUP 77 Conclusion

The silicon-on-insulator platform is an excellent platform for doing nonlinear optics

Way is open for CW experiments

PHOTONICS RESEARCH GROUP 78 Reduction of carrier lifetime

Reducing the effective lifetime by sweeping the carriers away from the optical mode

SiO2

70 nm Si n+ p+ 220 nm 500 nm 500 nm 500 nm

200

150

100

50 EffectiveLifetime (ps) 0 10 ps 0 1 2 3 4 5 Voltage (V)

PHOTONICS RESEARCH GROUP 79 Effect ofReduction of carrier lifetime to 10ps

1,0

0,8 < 1dB/cm excess Loss

0,6

0,4

0,2 Nonlinear Loss (dB/cm) Loss Nonlinear

0,0 0,00 0,05 0,10 0,15 0,20 0,25 Power (W)

PHOTONICS RESEARCH GROUP 80 CW gain at 1550 nm at pump power of 250 mW

Negligible overlap with doped region, low linear Loss (0.3 dB/cm)*

-28 signal idler Net gain after -30 ~3 cm

-32

Power (dBm) Power -34

-36 0,00 0,01 0,02 0,03 Pump: 250 mW Propagation length (z) Phasemismatch of 0.5/m

*W. Bogaerts, S. Selvaraja, Compact Single-mode Silicon Hybrid Rib/Strip Waveguide with Adiabatic Bends,IEEE Phot. Journal p.422-232 (2011)

PHOTONICS RESEARCH GROUP 81 Low loss strip waveguides at ~2200nm

Strip waveguides with 0.6 dB/cm loss at 2200 nm Air

Si 220 nm

SiO2 900 nm

Microring with intrinsic Q>150000 and modal volumes <70um3

F. Leo, B. Kuyken, N. Hattasan, R. Baets, G. Roelkens, Passive SOI devices for the short-wave infrared, accepeted for publication at ECIO (2012)

PHOTONICS RESEARCH GROUP 82 CW gain at 2200 nm at pump power of 300 mW

Perfect phasematching in these waveguides, no TPA

But lower confinement, 4X lower nonlinear parameter ~100 /Wm

-24 Idler -26 Signal

-28 Conversion Gain -30 after 4 cm Air

-32 Power (dBm) Power Si 220 nm -34

SiO2 900 nm -36 0,00 0,02 0,04 0,06 0,08 Propagation length (m)

PHOTONICS RESEARCH GROUP 83 CW conversion in dispersion engineered waveguide bij 300 mW pump

SiO2 Si 300 nm

900 nm

-24 Signal -26 Idler

-28

-30

-32 Power (dBm) Power

-34

-36 Conversion from 3.5 um to 1.6 um 0,00 0,02 0,04 0,06 0,08 Propagation length (m)

PHOTONICS RESEARCH GROUP 84