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Mid infrared pulse shaping by optical parametric amplification and its application to optical free induction decay measurement

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Abstract

We produce microjoule energy shaped mid infrared (MIR) pulses in an optical parametric amplification (OPA) process by imposing the phase and amplitude profile of an arbitrarily shaped pump pulse onto the idler pulse. Using phase locked pulses created using this technique, we measure for the first time, complex optical free induction decay (OFID) of the vibrational coherence of a C-H stretching mode.

©2003 Optical Society of America

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Figures (6)

Fig. 1.
Fig. 1. Experimental setup of mid infrared pulse shaper. OPA: Optical parametric amplifier, AOPS: Acousto-optic pulse shaper, AWG: Arbitrary waveform generator (radio frequency), 2HG: Second harmonic generation, WL: White light continuum generation, P: Periscope to change polarization, D: Delay stage, SG: Spectral gate.
Fig. 2.
Fig. 2. Spectrum of (a) the amplitude modulated shaped pump pulse and (b) the resultant idler shaped pulse from the OPA process.
Fig. 3.
Fig. 3. (0.17Mb) SIXFROG traces of MIR phase locked two pulse train with varying phase relationship, Δϕ. XX,XY,X̄ and denotes the interpulse phase difference of 0,π/2,π and 3π/4 rad respectively.
Fig. 4.
Fig. 4. All four double sided Feynman diagrams above are included in the second order contributions to the perturbative expansion to the density matrix. The ϕ’s denote the phases acquired by the perturbative terms from the interacting pulses. The diagram in (a) pertains to the OFID signal which we distill from the sum contribution using the phase cycling procedure.
Fig. 5.
Fig. 5. Schematic for the acquisition of OFID. PD: Photodetector, BS: Beamsplitter.
Fig. 6.
Fig. 6. Complex optical free induction decay of the C-H stretch of Chloroform obtained from experimental signal S(τ,δϕ).

Equations (7)

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E i ( z , ω ) z i d ω E s * ( ω ) E p ( ω + ω ) .
E i ( z , ω ) z i E S * ( ω p ω )
E i ( z , ω ) z i E p ( ω s + ω )
E ( t ) = A ( t ) e i ω L t + i ϕ 1 + A ( t τ ) e i ω L t + i ϕ 2
ρ 11 a ( τ , ϕ 1 , ϕ 2 ) e i ( ϕ 1 ϕ 2 ) g ( τ ) e i ( ω 0 ω L ) τ e Γ 10 τ
= e i ( ϕ 1 ϕ 2 ) ρ 11 FID
ρ 11 FID ( τ ) ρ 11 XX ( τ ) ρ 11 X X ¯ ( τ ) + i [ ρ 11 XY ( τ ) ρ 11 X Y ¯ ( τ ) ]
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