1995
DOI: 10.1364/josab.12.000049
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Phase distortions in sum- and difference-frequency mixing in crystals

Abstract: We show that if two waves are incident on a quadratically nonlinear crystal, with the third wave generated entirely within the crystal, a phase-velocity mismatch ͑Dk fi 0͒ leads to intensity-dependent phase shifts of the generated wave only if there is walk-off, linear absorption, or significant diffraction of at least one of the waves as well as significant energy exchange among the waves. The result is frequency broadening and wave-front distortion of the generated wave. Although the induced phase distortion… Show more

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Cited by 63 publications
(32 citation statements)
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“…͑i͒ A possible frequency shift arising in the doubling crystal as a result of the Kerr effect 20 and/or a phase-mismatch in the crystal. 17,21 The shift resulting from these two effects under our experimental conditions ͑pulse length of ϳ70 ns, crystal length of 5 mm, and peak intensity in the NIR of 2.4 ϫ 10 7 W / cm 2 ͒ is Ϫ1 kHz for the Kerr effect and less than Ϯ350 kHz for the frequency shift caused by phasemismatch, assuming the phase-mismatch ⌬k Ͻ 0.3 mm −1 , which corresponds to a 20% decrease in the conversion efficiency from its maximum value. ͑ii͒ The ac Stark shift induced by the 397 nm laser was determined by varying the laser pulse energies and extrapolating the transition frequencies.…”
Section: Fig 2 Field Ionization Spectra Of H 2 In the Region Of Tramentioning
confidence: 99%
“…͑i͒ A possible frequency shift arising in the doubling crystal as a result of the Kerr effect 20 and/or a phase-mismatch in the crystal. 17,21 The shift resulting from these two effects under our experimental conditions ͑pulse length of ϳ70 ns, crystal length of 5 mm, and peak intensity in the NIR of 2.4 ϫ 10 7 W / cm 2 ͒ is Ϫ1 kHz for the Kerr effect and less than Ϯ350 kHz for the frequency shift caused by phasemismatch, assuming the phase-mismatch ⌬k Ͻ 0.3 mm −1 , which corresponds to a 20% decrease in the conversion efficiency from its maximum value. ͑ii͒ The ac Stark shift induced by the 397 nm laser was determined by varying the laser pulse energies and extrapolating the transition frequencies.…”
Section: Fig 2 Field Ionization Spectra Of H 2 In the Region Of Tramentioning
confidence: 99%
“…We minimized c t (dashed line) using an electro-optic modulator (EOM) to apply a frequency shift of opposite sign to the seed laser, which canceled the chirp induced in the dye cells [6,9,10]. Theoretical calculations [11] show that any further shift in exp caused by chirps induced in the BBO or LBO crystals is <1-2 MHz.…”
mentioning
confidence: 99%
“…Furthermore, because the wave-front direction of the generated pulse is determined primarily by the seed beam, an injection-seeded pulsed coherent source has minimal sensitivity to any apparent phase shift that may result from tilt variations between the cw reference and pulsed beams. 15 In the simplest case, the cw and pulsed radiation fields (with electric vectors E cw and E p , respectively) are assumed to be linearly polarized plane waves 2 :…”
mentioning
confidence: 99%