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Calculating Characteristics of Noncollinear Phase Matching
in Uniaxial and Biaxial Crystals
4. Conclusion
The methods presented here for calculating both collinear and noncollinear
phase matching allow experimental configurations including either uniaxial or
biaxial crystals to be modeled in detail. These computational techniques can
provide preliminary answers to a variety of questions that must be asked about
a particular down-conversion source before it is constructed in the laboratory,
such as "Over what range of wavelengths is down-conversion possible? What
should the 'cut' of the crystal's optical axis be? At what angles can we expect
to find certain wavelengths emitted from the crystal?" and so on. To our
knowledge, the program made available here is the first comprehensive scheme
that can provide answers to such questions for both collinear and noncollinear
phase matching, and in both uniaxial and biaxial crystals. We hope that this
method and its implementation will aid researchers in designing down-conversion
schemes that rely on these more complicated phase-matching conditions.
The computer program that performs these calculations is continually being
improved. In the future we hope to make updated versions available which
include the effects of curved pump wavefronts on the spatial profiles of the
down-conversion beams, as well as the effects of the extended source nature of
the down-conversion region within the crystal.
5. References
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