Synthesis Of Optical Planar Waveguides

Tadeusz Kozek

doi:10.1117/12.937195

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10 March 1987 Synthesis Of Optical Planar Waveguides

Tadeusz Kozek

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Proceedings Volume 0704, Integrated Optical Circuit Engineering IV; (1987) https://doi.org/10.1117/12.937195
Event: Cambridge Symposium-Fiber/LASE '86, 1986, Cambridge, MA, United States

Abstract

The paper presents a solution for the design problem of planar optical waveguides with refractive-index profiles that support N TE modes with prescribed propagation constants. The N-soliton solution of the Korteweg de Vries equation is used to obtain a formula which determines an N-parameter family of functions describing the refractive-index profiles each of which has the desired property. An analytical form of the solution of the problem is ob-tained in terms of hyperbolic functions. Formulae for the choice of N arbitrary constants which produces the symmetric refractive-index profile are given. The exact modal solutions for derived refractive-index distributions are given in terms of hyperbolic functions. The cases of N=1,2,3 and the hyperbolic-secant profile are discussed in detail.

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Tadeusz Kozek "Synthesis Of Optical Planar Waveguides", Proc. SPIE 0704, Integrated Optical Circuit Engineering IV, (10 March 1987); https://doi.org/10.1117/12.937195

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