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Exact Dispersion Study of an Asymmetric Thin Planar Slab Dielectric Waveguide without Computing d2βdk2 Numerically

  • Sanjeev Kumar Raghuwanshi EMAIL logo and Vikram Palodiya
Published/Copyright: July 12, 2016
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Abstract

Waveguide dispersion can be tailored but not the material dispersion. Hence, the total dispersion can be shifted at any desired band by adjusting the waveguide dispersion. Waveguide dispersion is proportional to d2βdk2 and need to be computed numerically. In this paper, we have tried to compute analytical expression for d2βdk2 in terms of β for the case of an asymmetric planar slab. To compute d2βdk2 accurately with numerical technique, β should be accurate enough up to 105 decimal point. This constraint sometimes generates the error in calculation of waveguide dispersion. To formulate the problem we will use the graphical method. Our study reveals that we can compute the waveguide dispersion enough accurately for various modes by knowing –β only.

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Received: 2015-8-31
Accepted: 2016-6-6
Published Online: 2016-7-12
Published in Print: 2017-8-28

© 2017 Walter de Gruyter GmbH, Berlin/Boston

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