College of Control Engineering,
Xi’an 710123
China
Review Article
A Generalized Method for Calculating Phase Matching Conditions inBiaxial Crystals
Author(s): Huo G, Chen H and Zhang MHuo G, Chen H and Zhang M
We present a generalized method for calculating phase matching conditions in biaxial crystals, especially in nonlinear monoclinic and triclinic crystals. Exploiting the angle definition introduced by Japanese mathematician Kodaira Kunihiko, we deduce the angular relations in geometry and obtain the expressions of refractive indices depending on angular orientation of wave vector k and optical axis angle. Then we calculate the phase matching parameters with bismuth borate BiB3O6 (BIBO) crystal in spontaneous parametric down conversion (SPDC) process for the type I and type II. On its basis, we discuss the angular gradients of the pump and emission wave refractive index near the exact phase matching direction, and compare the SPDC with double frequency process in geometrical relations of the refractive index ellipsoids. It indicates the anisotropic structures of nonlinear crystals makin.. Read More»
DOI:
10.4172/2469-410X.1000143
Journal of Lasers, Optics & Photonics received 279 citations as per Google Scholar report