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Nonsingular Wentzel–Kramers–Brillouin solutions for hybrid modes in Y-cut anisotropic graded-index waveguides

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Abstract

The wave equations describing hybrid modes of a Y-cut anisotropic graded-index planar waveguide have been solved exactly in the first- and the second-order WKB approximation. The analogous exact formulas have been derived in the vicinity of turning points. The obtained solutions have been used to discuss the-energy transmitted along the waveguide by TE and TM fields, with ordinary and extraordinary waves, and to analyze the effective thickness of the waveguide for various field components.

© 1991 Optical Society of America

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Equations (38)

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