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Inhomogeneous optical filter design with the use of a Riccati equation

✍ Scribed by Hosung Chang; Sang-Sun Lee; Myung-Ryul Choi; Sungkyoo Lim

Publisher
John Wiley and Sons
Year
1999
Tongue
English
Weight
152 KB
Volume
22
Category
Article
ISSN
0895-2477

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✦ Synopsis

Inhomogeneous optical filter design based upon tapered transmission-line theory is described by deri¨ing an approximate spectral function from a nonlinear Riccati equation, which go¨erns the reflection characteristics of tapered lines. We deal with the problem of discontinuity that may occur at both ends of the filter section, and pursue a solution of the nonlinear differential equation ¨ia iterations. It is shown that the ( ) ( ) deri¨ed spectral function Q k is equi¨alent to an impro¨ed Q k -function used in the optical approach when the phase is not considered. Numerical examples are gi¨en to illustrate the role of the phase function to obtain refracti¨e index profiles suitable for design specifications.

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