Title: Wave-scanning inverse WKB method for the refractive index profile determination of monomode planar optical waveguide with graded index refraction
Abstract: The mode equation of graded wavequide (WKB integral equation) was divided into many segmental integrals and their terminal values points were set at the turning points of the same mode at different wavelengths. When the differences of the wavelengthe were small enough, the deviations for the corresponding turning points are also small enough, the broken lines approximations oould be made in these segmental integrals. Then, we theoretically obtained a recurrence formula for calculating the refractive index profile. The profile can be finally determined by picking up the smoothest one. This method is especially applicable for monomode waveguide and it is unnecessary to presuppose the function type of the profile.
Computer simulations are made for model waveguides with the profiles of hyperbolic secant and parabolic types in this paper and the calculation had proved that the new method is with the precision of 10-3 or even higher. The more segments were divided, the higher precision could be reached.
Publication Year: 1988
Publication Date: 1988-01-01
Language: en
Type: article
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