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The momentum conservation is written for a so called collinear (or quasicollinear) phase-matching where wave vectors are parallel (or quasiparallel), and thus [Formula Presented] represent the moduli
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The momentum conservation is written for a so called collinear (or quasicollinear) phase-matching where wave vectors are parallel (or quasiparallel), and thus κp,s,i represent the moduli.
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85036287099
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Neglecting the walk-off, for [Formula Presented] the trivial steady state is unstable for homogeneous perturbations, and the field evolves to a uniform solution so no pattern is formed. However, the walk-off can affect the selection mechanism and an inhomogeneous pattern can also be formed for small positive signal detunings. This process is not related to the convective instability phenomenon and the noise-sustained structures, and is described in Ref. c49
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Neglecting the walk-off, for Δ1>0 the trivial steady state is unstable for homogeneous perturbations, and the field evolves to a uniform solution so no pattern is formed. However, the walk-off can affect the selection mechanism and an inhomogeneous pattern can also be formed for small positive signal detunings. This process is not related to the convective instability phenomenon and the noise-sustained structures, and is described in Ref. 49.
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81
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85036242203
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Recently, birefringent materials with large nonlinearities and no walk-off [Formula Presented] have been made available. The walk-off effect disappears when the propagation in the crystal takes place along the principal axes. However, even in this case a weak walk-off, due to experimental crystal misalignment, should be present, and this is enough to obtain a convective regime, as shown
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Recently, birefringent materials with large nonlinearities and no walk-off (LiNbO3,KTA) have been made available. The walk-off effect disappears when the propagation in the crystal takes place along the principal axes. However, even in this case a weak walk-off, due to experimental crystal misalignment, should be present, and this is enough to obtain a convective regime, as shown.
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82
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85036167798
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For the example given, the oscillation frequency would be about 25 MHz
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For the example given, the oscillation frequency would be about 25 MHz.
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