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10 March 1987 Synthesis Of Optical Planar Waveguides
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Proceedings Volume 0704, Integrated Optical Circuit Engineering IV; (1987)
Event: Cambridge Symposium-Fiber/LASE '86, 1986, Cambridge, MA, United States
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.
© (1987) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Tadeusz Kozek "Synthesis Of Optical Planar Waveguides", Proc. SPIE 0704, Integrated Optical Circuit Engineering IV, (10 March 1987);

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