ANALYSIS OF INTERACTION BETWEEN INCLINED WAVE-GUIDE MODES

The analysis of coupling between inclined waveguide modes is presented . Each of the interacting modes is represented in a separate coordinat e system and the coupling along an axis in a common coordinate system. A new set of coupled mode equations is derived that contains coupling coefficients with meanings different from the straight waveguide coup ling coefficients. A simple formula for the field amplitude in individ ual waveguides is derived for the case of inclined planar waveguides. Comparisons are done with the existing Piecewise Approximation Method and the Beam Propagation Method. The present theory is extended to the analysis of Cerenkov type SHG to include the angle between the intera cting modes and numerical examples are presented.