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Birefringent Phase Matching

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Definition: a technique of phase matching based on the birefringence of a crystal material

Birefringent phase matching is a technique for achieving phase matching of a nonlinear process by exploiting the birefringence of a nonlinear crystal. For example, the process of frequency doubling of a 1064-nm beam in a lithium niobate (LiNbO3) crystal can be phase-matched by using the ordinary polarization for the pump beam and the extraordinary polarization for the second-harmonic beam. When the appropriate crystal temperature is set, the birefringence just cancels the chromatic dispersion. The dispersion alone would normally lead to the higher refractive index for the second-harmonic light, so that phase matching would not be possible.

birefringent phase matching in LBO

Figure 1: Birefringent noncritical phase matching of frequency doubling in LBO with a pump wavelength of 1064 nm. The beams propagate in the X direction, the pump wave is polarized in the Z direction, and the second-harmonic wave in the Y direction. At 149 °C, the birefringence compensates the effect of chromatic dispersion, so that the refractive indices for both waves are equal.

The common forms of birefringent phase matching are

A common alternative to birefringent phase matching is quasi-phase matching (QPM).

See also: quasi-phase matching, phase matching, nonlinear frequency conversion

Category: nonlinear optics

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You can get technical consulting from the author, Dr. Rüdiger Paschotta.

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