1 May 2005 Simple approach to calculate the refractive index profile of ion-exchanged waveguides
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Optical Engineering, 44(5), 054602 (2005). doi:10.1117/1.1914802
Abstract
In graded-index glass waveguides a key factor for the design of components and devices is usually the accurate determination of the refractive index profile as a function of depth. The problem of reconstructing the index profile using the measured effective refractive indices has been faced by several authors. Here we suggest a new expression, linear combination of two analytical functions, which is able to provide a good approximation of the solution of the differential equation that rules the thermal diffusion process. The use of this equation, in connection with the general approach of inverting the Wentzel-Kramer-Bruilloin (WKB) eigenvalue equation, leads to a simple, fast, and accurate computation of the refractive index profile obtained by ion exchange. The application of the method to various Ag-exchanged waveguides in different glass matrices, with better accuracy than most of the usual procedures, has been demonstrated.
Sergio Sebastiani, Simone Berneschi, Massimo Brenci, Gualtiero Nunzi-Conti, Stefano Pelli, Giancarlo C. Righini, "Simple approach to calculate the refractive index profile of ion-exchanged waveguides," Optical Engineering 44(5), 054602 (1 May 2005). http://dx.doi.org/10.1117/1.1914802
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KEYWORDS
Waveguides

Refractive index

Glasses

Diffusion

Ions

Ion exchange

Planar waveguides

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