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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 22, Iss. 7 — Jul. 1, 2005
  • pp: 1334–1340

Index profiling of anisotropic graded-index planar waveguides from effective indices

Weijun Liao, Xianfeng Chen, Yuping Chen, and Yuxing Xia  »View Author Affiliations

JOSA A, Vol. 22, Issue 7, pp. 1334-1340 (2005)

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We present a method for recovering the refractive-index profile of an anisotropic graded-index waveguide from the effective indices by using a cubic spline interpolation function. The first and second derivatives of cubic splines are continuous to ensure a smooth index profile, which is consistent with practical graded-index distributions. A straightforward iteration with an exact dispersion equation to verify the interpolated profile makes this method easy and reliable for application. This approach is proved by numerical analysis of several typical index distributions and experimental examples showing that the refractive-index profiles in anisotropy can be reconstructed close to the exact profile. Waveguides with both more modes (more than four guiding modes) and fewer modes (two to four) can be universally profiled with good accuracy.

© 2005 Optical Society of America

OCIS Codes
(130.2790) Integrated optics : Guided waves
(230.7390) Optical devices : Waveguides, planar
(260.1180) Physical optics : Crystal optics
(290.3030) Scattering : Index measurements
(350.5500) Other areas of optics : Propagation

Original Manuscript: October 8, 2004
Revised Manuscript: December 20, 2004
Manuscript Accepted: January 27, 2005
Published: July 1, 2005

Weijun Liao, Xianfeng Chen, Yuping Chen, and Yuxing Xia, "Index profiling of anisotropic graded-index planar waveguides from effective indices," J. Opt. Soc. Am. A 22, 1334-1340 (2005)

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