Tze-Wei Liu Y-C Hsu & Wang-Yau Cheng
Dual Comb Raman Spectroscopy on Cesium Hyperfine Transitions Toward a Stimulated Raman Spectrum of CF4 Molecule Tze-Wei Liu Y-C Hsu & Wang-Yau Cheng To take full advantage of the frequency accuracy and resolution of this comb, one must correctly and individually resolve each comb tooth in the final spectrum fr fr+Df Df 3Df 5Df Comb 1 Comb 2 Beat signal Dual-comb Phase-Locking Two Combs Together
Do not need a full octave Phase lock combs to two cw lasers For high frequency accuracy, lock cw lasers to cavity Achieves sub-rad optical coherence fr ~ 100 MHz Esignal 1535 nm 1550 nm Cavity stabilized Lasers fr+Df ~ 100 MHz + 1 kHz ELO Comparison Scheme 1 by NIST Boulder group:
1.Have to lock two comb lasers 2.Well define all frequencies of each mode Scheme 2 by Garching group: 1.Do not need to lock any laser 2. The spectral frequency need to be calabrated Center wavelength range
810 nm Spectrum bandwidth 35nm Pulse width 25fs Repetition rate ~1 GHz Cavity length 30 cm Operating power >300 mW Stability of repetition rate 1 mHz (10s sampling time) Stability of comb mode 2 kHz (10s sampling time) The mode-lock lasers are in free-running
(a) 3-hour measurement of the two rep. rates (b) the difference of two rep. rates (Dfr) in which the drift of Dfr is almost unobservable. Compare to other groups
sign 2008 Boulder group 2014 Garching group Our lab Repetition rate of signal comb kHz 100 MHz MHz Repetition rate of LO comb kHz MHz Repetition rate difference of two comb 1 kHz 350 Hz 100 kHz Period difference of two comb plus train ~ 0.1 ps 0.035 ps Period of interference signal 1 ms 2.86 ms 0.01 ms Maximum resolvable bandwidth ~ 10 THz ~14.3 THz 5 THz Resolving bandwidth 1 THz 14.5 THz 2.5 THz Measured mode number N ~1104 ~1.105 ~1103 Acquisition time tacq ~ 400 s 467 s ~ 10 s Signal to noise ratio SNR 35 dB 20 dB ~20 dB T= 1f rep1 1f rep2= f r f rep1f rep2 t acq =4 BW f rep12 Compare to other groups
sign 2008 Boulder group 2014 Garching group Our lab Repetition rate of signal comb kHz 100 MHz MHz Repetition rate of LO comb kHz MHz Repetition rate difference of two comb 1 kHz 350 Hz 100 kHz Period difference of two comb plus train ~ 0.1 ps 0.035 ps Period of interference signal 1 ms 2.86 ms 0.01 ms Maximum resolvable bandwidth ~ 10 THz ~14.3 THz 5 THz Resolving bandwidth 1 THz 14.5 THz 2.5 THz Measured mode number N ~1104 ~1.105 ~1103 Acquisition time tacq ~ 400 s 467 s ~ 10 s Signal to noise ratio SNR 35 dB 20 dB ~20 dB T= 1f rep1 1f rep2= f r f rep1f rep2 t acq =4 BW f rep12 The unique features of our dual-comb system
Narrow comb mode linewidth and high repetition rate Spatial light modulator was used to vary the band pass ~ 800 nm wavelength Has the possibility to decide the absolute frequency without the reference laser How to chose a good frequency
reference of comb laser? Two underlying physics limit the precision of AMO experiments
1.Power broadening One-photon saturation Good Signal-to-noise ratio, bad linewidth 2.Light shifts transitions having intermediate states like two-photon transition Bad Signal-to-noise ratio, narrow linewidth Cs 62S1/2-82S1/2 two photon absorption Comb laser !! 8S1/2 794 nm 6P3/2 852 nm 6S1/2 How can two frequencies
of two lasers be perfectly coherent?Impassible! 8S1/2 Coherent two-photon 1. Narrow linewidth 2. Good S/N 794 nm Comb laser !! 6P3/2 One-photon on resonance eliminate light shift 852 nm 6S1/2 I(f) f 822.5nm Mixed with direct and stepwise two-photon transitions
preliminary results right circular polarization left circular polarization right circular polarization Doppler free Direct transition is required to follow M selection rule strictly The linewidth is similar to what was obtained by direct two-photon Doppler-free spectroscopy of a CW 822 nm Repetition rate MHz 1.23MHz 1.2 MHz 1.24 MHz 852 nm nm 822 nm nm Future work High resolution(