Scalable Frequency Generation from Single Optical Wave
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1 Scalable Frequency Generation from Single Optical Wave S. Radic Jacobs School Of Engineering Qualcomm Institute University of California San Diego
2 - Motivation - Bandwidth Engineering - Noise Inhibition and Coherency Limit - Spectral Shaping - Implications: - Optical - RF/Wireless
3 2xN 1 RX RX 1 2 RX RX 2 3 RX AWG N Channels AWG RX 3 N RX RX N
4 Carrier Generation Physical Parameter ITLA F-Generation Spectral Coverage (nm) 74? Power (dbm) ? RIN (dbc/hz) -145? OSNR.1 nm (db) >5? f(mhz).1? F-stability (GHz) ±1.5 (±3.)? Power Dissipation (W) ?
5 Main Idea: Eliminate Multiple Actives LD/TEC LD/TEC LD/TEC LD/TEC LD/TEC f Conventional LD Array dbm-level Optical Power OSNR > 4 db Multi-band Wavelength Range MHz Linewidth Individual Frequency Tracking Required kw/mw-level Power Dissipation Frequency Comb Output Power? OSNR? Emission Bandwidth and Spacing? Linewidth? Frequency Grid Locked Watt-scale Power Dissipation
6 Mode-Locked Lasers - Cavity-defined - Fixed grid, f, bandwidth limits - Low harmonic power - Excess noise ~ f -1 P t E/O Modulation - Grid limited by RF generator - Noise defined by front loss Resonant Generation - Noise, Power AM f1 PM AM PM f2 f3 f4 J. Pfeifle et. al. 213.
7 Frequency Comb Generation in Ideal Mixer Ideal Lasers (Narrow Linewidth) Mixer f f + f f f + f +2 f +3 f +n f Advantage: No cavity freely tunable. Disadvantage: No cavity means no inhibition mechanism. - Noise introduced and grown by mixer.
8 Kerr Index (n 2 ) Platform W -1 m -1 Mixer efficiency - ratio Waveguide Nonlinearity Mixer of newly created and input photons: Silicon Waveguide Silica Waveguide Effective Area (A eff ) m 2 ~ 2.6 e PL ( =2 n 2 / A eff ) Loss db/m Effective Length (m) FOM PL) Figure Of Merit (FOM) >1.5 7
9 Pulsed vs. Continuous-Wave Generation Mode-Locked Seed P ML t Mixer f Two-Tone CW P CW f Mixer f CW-seeding is low power Requires higher mixing efficiency
10 CW-Seeded Frequency Generation Efficiency ω t Dispersion-less Nonlinear Medium ω t Tone order k Highest tone order k PL Phase rotation parameter m Modified Carson s Rule for HPM Efficiency Limit set by SBS Threshold P SBS 21A eff gl ksbs PSBS L 1 B 42 n gb for ordinary silica fiber High-Count generation is prohibited for SBS-suppressed mixer in homogeneous mixers
11 CW-Seeded Frequency Generation Efficiency Δω ω ω P peak t Dispersion-less Nonlinear Medium t Higher-order mixing efficiency proportional to Peak Power P peak
12 Shock-Wave Mixer Pulse Compression Stage Mixing Stage Nonlinear Section 1 Linear Section Nonlinear Section 2 t t t
13 Attempt to synthesize CW-seeded mixer using fiber fails. -1 Fiber m Fiber m Fiber m -2 Power, dbm Wavelength, nm
14 D(z), r(z) ~nm z 1.5 Dispersion, ps/nm/km Wavelength, nm
15 D peak =.6 ps/nm/km D peak =.4 ps/nm/km D peak =.2 ps/nm/km D peak =. ps/nm/km D peak = -.2 ps/nm/km D peak = -.4 ps/nm/km 15
16 Beyond Stochastic Barrier Standard Dispersion, ps/nm/km Synthetic Wavelength, nm 1/27/213
17 Stochastic Barrier -1-2 Before Synthesis Power, dbm After Synthesis Walelength, nm
18 Relative Power (db) Wavelength (nm)
19 - Motivation - Bandwidth Engineering - Noise Inhibition and Coherency Limit - Spectral Shaping - Implications: - Optical - RF/Wireless
20 Carrier Generation Noise Origins Mixer Excess Mixer Noise
21 Finite-Linewidth Laser Seed Ideal Lasers (Narrow Linewidth) Mixer f f + f f f + f +2 f +3 f +n f Finite Linewidth Laser ( ) 2 3 n f f + Linewidth f Mixer f f + f +2 f +3 f +n f Higher-Order tone linewidth: N ~ N N ~ N 2
22 Carrier Generation Phase-Referencing by Injection Locking Slave Master Weak, narrow master; Strong, broad slave; Injection locking results in strong, narrow oscillator.
23 Carrier Generation Spectral Fidelity Amplitude Normalized Span 5 MHz Frequency (MHz) RIO C33 1st line 5th line 1th line 15th line 2th line 25th line 3th line Linewidth FWHM (khz) Linewidth broadens quadratically with comb tone order At low copy count there is also the linear contribution to linewidth scaling law Measurement 2nd order polynomial fit Comb line
24 Relative Power (db) Wavelength (nm) Comb Quadrature COMB In Phase Quadrature ITLA In Phase
25 - Motivation - Bandwidth Engineering - Noise Inhibition and Coherency Limit - Spectral Shaping - Implications: - Optical - RF/Wireless
26 Carrier Generation Shock-Wave Parametric Mixer Uses CW, rather than pulsed seed: achieves generation efficiency by managed shock-wave formation. Tunable frequency grid: from 1 GHz to > 4 GHz. Requires precise intra-mixer waveform control. f f Dispersive stage Nonlinear stage f AM PM Nonlinear stage 2 Δf Δf t t
27 Carrier Generation Inter-stage Shock-wave Shaping Pedestal pulses may form at high compression ratio Introduces spectral power ripple Regenerative stage reshapes pulses into ideal form Active loop improves extinction by >1-times Dispersive element NOLM Nonlinear element f AM PM Δf Δf 2 t P out t P in
28 Setup Power [db] THz Frequency [THz] THz Frequency [THz] THz Frequency [THz] Frequency [THz] 1 GHz 2 SMF 1 NOLM 1 SMF 2 NOLM 2 SMF 3 HNLF AM PM Amplitude Time [ps] Time [ps] Time [ps] Time [ps]
29 Carrier Generation Very Dense Carrier Plan (1 GHz) Power [db] <2 db >15 lines Wavelength [nm] Power [db] Frequency [THz] Frequency [THz] Frequency [THz]
30 - Motivation - Bandwidth Engineering - Noise Inhibition and Coherency Limit - Spectral Shaping - Implications: - Optical - RF/Wireless
31 Carrier Generation
32 NF (db) PS-Multicasting PI-Multicasting Isotropic Mixer 5.6 db NF Improvement dB Quantum Limit Frequency (THz)
33 -4-5 PI-scheme log (BER) -6-7 PS-scheme EDFA db Input Power [dbm]
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