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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 4, Iss. 4 — Apr. 1, 1987
  • pp: 683–693

Three-dimensional analysis of bending losses in dielectric optical waveguides with arbitrary refractive-index profile

M. L. Calvo and R. F. Alvarez-Estrada  »View Author Affiliations


JOSA A, Vol. 4, Issue 4, pp. 683-693 (1987)
http://dx.doi.org/10.1364/JOSAA.4.000683


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Abstract

A three-dimensional analysis of bending losses in dielectric optical waveguides is presented. It constitutes a nontrivial generalization of previous two- and three-dimensional studies by other authors. Our analysis is based on homogeneous integral equations for the total radiation field and suitable asymptotic approximations for Green’s functions. A key role is played by a new three-dimensional approximation for a relevant Bessel function with large order and argument (the former being larger than the latter). A nontrivial check of the consistency of all those approximations is given. General formulas are presented for the radiated field and the energy flow and for a bending-loss coefficient in three dimensions. Numerical results are also given, in order to assess the difference between the results of other authors and ours. Such a difference is rather small for monomode behavior near cutoff, increases as the behavior of the waveguide changes from monomode to multimode, and decreases as the parameter V increases for a given core radius and propagation mode.

© 1987 Optical Society of America

History
Original Manuscript: May 15, 1986
Manuscript Accepted: October 21, 1986
Published: April 1, 1987

Citation
M. L. Calvo and R. F. Alvarez-Estrada, "Three-dimensional analysis of bending losses in dielectric optical waveguides with arbitrary refractive-index profile," J. Opt. Soc. Am. A 4, 683-693 (1987)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-4-4-683

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