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One can prove this expression under the same approximation that applies to photorefractive two-wave mixing [P. Yeh, Introduction to Photorefractive Nonlinear Optics (Wiley, New York, 1993)].
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Introduction to Photorefractive Nonlinear Optics
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Yeh, P.1
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21
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84893885854
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note
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This requires that the applied field be sufficiently large; e.g., in SBN:60 for θ = 0.1°, E ≅ 1 kV/cm.
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