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Optics Letters

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  • Vol. 14, Iss. 7 — Apr. 1, 1989
  • pp: 376–378

Analysis of absorbing and leaky planar waveguides: a novel method

M. R. Ramadas, E. Garmire, A. K. Ghatak, K. Thyagarajan, and M. R. Shenoy  »View Author Affiliations


Optics Letters, Vol. 14, Issue 7, pp. 376-378 (1989)
http://dx.doi.org/10.1364/OL.14.000376


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Abstract

We present a simple and general approach for analysis of absorbing and leaky waveguides. The real and imaginary parts of the propagation constant β of a planar optical waveguide are obtained by evaluating a function, defined through the eigenvalue equation, in real β. The applicability of the method is demonstrated for simple structures. To apply the method for arbitrarily graded inhomogeneous or multilayered structures we use a simple matrix approach to obtain the eigenvalue equation. The method is straightforward, accurate, and requires no iteration in the complex β plane.

© 1989 Optical Society of America

History
Original Manuscript: September 23, 1988
Manuscript Accepted: January 12, 1989
Published: April 1, 1989

Citation
M. R. Ramadas, A. K. Ghatak, K. Thyagarajan, E. Garmire, and M. R. Shenoy, "Analysis of absorbing and leaky planar waveguides: a novel method," Opt. Lett. 14, 376-378 (1989)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-14-7-376


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References

  1. P. K. Tien, R. Ulrich, J. Opt. Soc. Am. 60, 1325 (1970). [CrossRef]
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  8. It is possible to obtain a Lorentzian even when the loss is zero. This would be a Lorentzian having a HWHM of zero (not a delta function7) and would be of the form 1/(βr − βm,r)2, which may be easily plotted. Thus the method is also applicable for cases in which resonances are sharp. However, one may solve Eq. (13) directly if the waveguide is lossless.
  9. J. T. Chilwell, I. J. Hodgkinson, J. Opt. Soc. Am. A 1, 742 (1984). [CrossRef]
  10. L. M. Walpita, J. Opt. Soc. Am. A 2, 595 (1985). [CrossRef]
  11. M. J. Adams, An Introduction to Optical Waveguides (Wiley, Chichester, UK, 1981).
  12. M. R. Ramadas, R. K. Varshney, K. Thyagarajan, A. K. Ghatak, “A matrix approach to study the propagation characteristics of a general nonlinear planar waveguide,” IEEE J. Lightwave Technol. (to be published).

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