Ultra-low phase-noise microwave with optical frequency combs

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Ultra-low phase-noise microwave with optical frequency combs X. Xie 1, D.Nicolodi 1, R. Bouchand 1, M. Giunta 2, M. Lezius 2, W. Hänsel 2, R. Holzwarth 2, A. Joshi 3, S. Datta 3, P. Tremblin 4, G. Santarelli 4 and Y. Le,Coq 1 1 LNE-SYRTE, Observatoire de Paris, CNRS, UPMC, France 2 Menlo Systems GmbH, Martinsried, Germany 3 Discovery Semiconductors, Ewing, NJ, USA. 4 LP2N, Institut d Optique Graduate School, CNRS, Univ. de Bordeaux, France.

OUTLOOK Low phase noise µwave sources applications&state-of-the-art µwave photonic generation w/ frequency combs (FC) Issues w/ photonic generation: S/N, AM to PM, meas. tech. Developments on low noise FC 2

LOW PHASE NOISE SOURCES APPLICATIONS Military Defense radar systems Frequency metrology: o Atomic clocks o Time reference distribution Large scale experiments: Advanced VLBI particle accelerators 3

LOW PHASE NOISE µw OSCILLATORS : STATE-OF-THE ART 4

LOW PHASE NOISE µw OSCILLATORS : STATE-OF-THE ART Ultra low φ-noise (low jitter) µwave sources (~10GHz) Room temp. sapphire oscillator [Raytheon, UWA, Australia] -40dBc/Hz @ 1Hz, -170dBc/Hz @ 100kHz from carrier Cryogenic sapphire oscillator [UWA,IPAS (Au), FEMTO-ST (Fr)] -105dBc/Hz @1Hz, -140dBc/Hz @ 10kHz from carrier Opto Electronic Oscillator [Oewaves (Usa), LAAS, FEMTO-ST (Fr)] -40dBc/Hz@1Hz, -160dBc/Hz @ 10kHz Frequency combs [NIST (Usa), SYRTE (Fr)]: -105dBc/Hz@1Hz, -160dBc/Hz @ 10kHz The ultimate oscillator <-105dBc/Hz@1Hz, <-170dBc/Hz @ 10kHz 5

PHOTONIC µw GENERATION W/ FREQUENCY COMBS Frequency Combs is frequency divider from optics-to-µw Cavity 200THz to10ghz N~20000 PN reduced by N 2 20 log (N)~86dB Comb f Phase lock τ T 1/τ f no cryogenic, easy operation, potentially compact very phase low noise low&high Fourier frequencies multiple output microwave frequencies, tunable

ULTRA STABLE OPTICAL CAVITIES Ultra stable lasers (USL) shows very good spectral purity (cavity stabilisation) Compact, transportable and vibration insensitive high finesse optical cavities available The challenge is to obtain an ideal division from optical down to µw frequencies. φ-noise PSD @ 10 GHz carrier from USL at 200THz (ideal division)

PHOTONIC GENERATION : COMBS REQUIREMENTS intrinsic low phase&intensity noise (RIN<140dBc >10kHz) wide control BW >1MHz (noise&bw are coupled) high repetition rate > 1GHz output power >100mW (but with low noise) Er/Yb fiber lasers (noise mod./low, compact, robust, >200MHz) Yb KWG, Calgo doped crystals (low noise, BW ok, >200MHz ) Er doped crystals (low noise, low BW, ~100MHz Er) Ti:Saph (very low noise, complex, large footprint, >1GHz) Micro combs (noise??, small factor form, >10GHz) 8

LOW PHASE NOISE LASER COMBS MAJOR PLAYERS Several research groups develop combs&modelocked lasers for low phase noise &timing jitter NIST (Ti:Saph, Er, Yb fiber lasers, microcombs, USA) MIT (Ti:Saph, Er, Yb fiber laser, USA) DESY [Er fiber laser, Germany] KAIST [Er, Yb fiber lasers, Korea] ETH, EPFL, CSEM [microcombs, Yb/Er crystals, Switzerland] This work 9

DETECTION OF SHORT&INTENSE LASER PULSES Two different techniques Direct photo detection high power linear photodetectors MUTC PIN Balanced optical to microwave detector (Kärtner)

PHOTODIODE DETECTION ISSUES Direct photo detection high power photodetectors MUTC microwave power [dbm] 0-10 -20-30 -40-50 0-10 -20-30 -40-50 (a) 2G 4G 6G 8G 10G 12G (b) 2G 4G 6G 8G 10G 12G Frequency [Hz] pulse energy spread µwave spectrum over the PIN saturation@high harmonic rank

PHOTODIODE DETECTION S/N : SOME NUMBERS S/N >170dB Shot Noise 2II PPPP qq II PPPPPPPPPPPPP >50 ma Shot noise formula not valid phase noise short optical pulses <1ps [Quinlan et al, NIST] gain ~10dB Thermal noise load R 50 Ω kk BB TTTT signal> a few dbm@10ghz Amplification noise, flicker noise, µw insertion losses.

PULSE REPETITION RATE MULTIPLICATION interleaving optical pulses w/ delay ½ rep. rate frequency x2 process can be cascaded w/ ¼ and then ⅛.. Single mode couplers 50/50 (<1% ) fusion spliced 4 stages -> f rep x 16 compact : 20cm 30cm robust: no alignment& stable cost effective Low optical losses 3dB

REPETITION RATE MULTIPLICATION With MZI RF power @ 12GHz / dbm 0-5 -10-15 -20-25 -30-35 0,1 1 10 Input optical power / mw microwave power [dbm] 0-10 -20-30 -40-50 0-10 -20-30 -40-50 (a) 2G 4G 6G 8G 10G 12G (b) 2G 4G 6G 8G 10G 12G Frequency [Hz] Without MZI Suppression of unwanted harmonics 30dB(length&amplitude matching) Simpler microwave filtering

X16 PM REPETITION RATE MULTIPLICATION PM couplers 50/50 (<1% ) 4 stages -> f rep x 16 low losses <3.5dB recompressed pulse 200fs

FREE SPACE REPETITION RATE MULTIPLICATION Industrial design Robust 4 stages -> f rep x 16 No dispersion Fully adjustable 1% Fine amplitude&delay tuning

AMPLITUDE-TO-PHASE CONVERSION IN PHOTODETECTION Space charge screening effects 5,0 60 short light pulses <1ps electrical pulse shape distortion elec. pulse φ shift w/ opt. pulse energy Peak amplitude [V] 4,5 50 4,0 40 3,5 30 3,0 20 2,5 2,0 10 1,5 0 0 10 20 30 40 50 60 70 Optical energy per pulse [pj] Integrated electrical energy per pulse [pj]

RIN&AMPLITUDE-TO-PHASE CONVERSION optical intensity fluctuations (RIN) AMPM factor dφ/(de/e) RIN-induced phase noise S φ =RIN AMPM 2-110 excess phase noise Example RIN Predicted φ noise 1 rad 0 db 0.03 rad -30 db RIN [dbc/hz] -120-130 -140-150 -160-170 -180 10 0 10 1 10 2 10 3 10 4 10 5 10 6 Frequency [Hz] Phase noise [dbrad 2 /Hz]

RIN&AMPLITUDE-TO-PHASE CONVERSION sweet spots AM- to- PM ~0 Stability of the zero AMPM Low sensitivity to: Laser mode-lock state Laser repetition rate Laser polarization

THE DARPA PURECOMB CONSORTIUM 20

LOW PHASE NOISE µw GENERATION Classical phase noise bridge measurement scheme - High RF power @ 12GHz by using MZI and highly linear photodetectors - µw amp.: ultra-low phase noise - Low AM-PM (fine optical power tuning) Comb 1 PRRM φ Phase-locked Cavitystabilized laser Phase-locked Comb 2 PRRM HLPD HLPD FFT DC LO RF Needs two identical combs

THE CROSS CORRELATOR (SYRTE/CNAM) FPGA : Xilink KC705 FPGA motherboard with 2 ADC ADC : AD9467 (Analog Device) Conversion rate + resolution 250 Msps 16 bits Effective Number Of Bits (ENOB) à 5 MHz Spurious-Free Dynamic Range (SFDR) à 5 MHz 12.4 97 dbfs Aperture Jitter 60 fs rms Low noise fequency chains for clock signals 2 ~statiscally independant 250MHz Clock sources : 2 home-made low noise frequency chains Phase noise @ 100 MHz: -165 dbc/hz @ 1kHz offset -178 dbc/hz @ 100kHz offset

PHASE NOISE PSD CROSS CORRELATION MEASUREMENTS «reference» LNE-SYRTE comb A MZM+EDFA +HLPD DUT MZM+EDFA +HLPD Xcorr phase noise of DUT B MZM+EDFA +HLPD Note : sources A and B do not need to be as low phase noise as DUT Up to 3 cw USL at 1.5µm loosely frequency locked 3 comb-based µwave generation We need to develop only one system