Accession Number : ADP008095
Title : Improved WKB Phase Shift Via Virtual Turning Points for Waveguides with Index Discontinuities,
Corporate Author : MCGILL UNIV MONTREAL (QUEBEC) DEPT OF ELECTRICAL ENGINEERING
Personal Author(s) : Xiang, F. ; Yip, G. L.
Report Date : APR 1992
Pagination or Media Count : 2
Abstract : The WKB method has been widely used to obtain approximate solutions of the guided mode propagation constants for optical waveguides with slowly varying graded-index profiles. One of the key features of the standard method, which is properly applied only to problems with isolated turning points, is the assumption of a constant phase shift (Pi/4) at a turning Point. However, it has long been known that when turning points are not isolated, but are instead near some other transition points, the phase shift is no longer constant. Here, we consider the presence of an index discontinuity near or at a turning point in an optical waveguide and present analytical expressions of the improved phase shift. The principle of this phase shift correction is based upon two main points. The first consists of using Airy functions as the field solutions at the discontinuity.
Descriptors : *OPTICAL WAVEGUIDES, CONSTANTS, CORRECTIONS, DISCONTINUITIES, FUNCTIONS, PHASE SHIFT, PROFILES, STANDARDS, TRANSITIONS, PHASE SHIFT CIRCUITS, CANADA, LIGHT TRANSMISSION, REFRACTIVE INDEX, GRADIENTS.
Subject Categories : Fiber Optics and Integrated Optics
Distribution Statement : APPROVED FOR PUBLIC RELEASE