A simple analytic solution for transient two-wave mixing in photorefractive materials

Erbschloe, Donald R.; Wilson, Tony

doi:10.1016/0030-4018(89)90270-8

Cited by 12 publications

(1 citation statement)

References 9 publications

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“…In order to find the rest of the coefficients, we substitute Eqs. (11) and 12into Eqs. (1)- 3and obtain a set of nine ordinary first-order differential equations dependent on position (z) only.…”

Section: B Numerical Solution Of Two-wave Mixing With Depletionmentioning

confidence: 99%

Time-dependent behavior of photorefractive two- and four-wave mixing

1991

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A theoretical and experimental study of the temporal response of photorefractive two-and four-wave mixing processes is given. We examine the buildup and the decay of the output signal and the gratings when the input signal beam is turned on and off. For two-wave mixing we have performed an analysis that includes the depleted-pump regime. The experiment was done with a BaTiO 3 crystal. The buildup-and-decay behavior is strongly dependent on the coupling constant and the ratio of the signal and pump intensities. From these measurements we obtain the crystal time constant, which was found to have an intensity dependence with a power of-0.7. The coupling constant is extracted from the data of the whole dynamic process of buildup and erasure and not only from the steady-state point, as is usually done. This is the first analytic study, to the best of our knowledge, for the four-wave mixing decay and buildup. We find that the solution for time-dependent fourwave mixing processes (the phase-conjugate mirror and the double phase-conjugate mirror) with undepleted pumps is identical to that for two-wave mixing with unidirectional optical feedback circuits. This similarity provides a direct way to study the stability properties of the devices. We find, for example, that in the unstable regime of four-wave mixing a self-pulsation of the output corresponds to the frequency detuning of the unidirectional two-wave mixing oscillator.

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Section: B Numerical Solution Of Two-wave Mixing With Depletionmentioning

confidence: 99%

Time-dependent behavior of photorefractive two- and four-wave mixing

1991

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The steady-state and transient characteristic analysis of thermal fixing a photorefractive hologram grating in lithium niobate

Liu

Guo

et al. 1999

Microw. Opt. Technol. Lett.

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The transient interaction between a refraction index grating and light beams during simultaneous writing and thermal fixing of a photorefractive hologram is investigated. With a diffusion-and photovoltaic-dominated carrier transport mechanism and carrier thermal activation (temperature dependent) considered in Fe:LiNbO3 crystal, from the standpoint of field-material coupling, the theoretical thermal fixing time and the space-charge field buildup, spatial distribution, and temperature dependence are given numerically by combining the band transport model with mobile ions with the coupled-wave equation.

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Holography and Double Phase Conjugation

Jagannath

Caulfield

1993

Advances in Chemical Physics

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A simple analytic solution for transient two-wave mixing in photorefractive materials

Cited by 12 publications

References 9 publications

Time-dependent behavior of photorefractive two- and four-wave mixing

Time-dependent behavior of photorefractive two- and four-wave mixing

The steady-state and transient characteristic analysis of thermal fixing a photorefractive hologram grating in lithium niobate

Holography and Double Phase Conjugation

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