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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. 8, Iss. 8 — Aug. 1, 1991
  • pp: 1240–1244

Path-integral analysis of tapered, graded-index waveguides

Constantinos C. Constantinou and Raymund C. Jones  »View Author Affiliations


JOSA A, Vol. 8, Issue 8, pp. 1240-1244 (1991)
http://dx.doi.org/10.1364/JOSAA.8.001240


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Abstract

The method of path integration is applied to the analysis of a model of a graded-index waveguide taper whose refractive index varies with position z along the guide and coordinates x and y transverse to the direction of propagation, as 1 − ½c(z)x2 − ½b2y2. Detailed calculations are presented for the case in which c(z) ∝ 1/z2, which describes the linear taper. Comments are made about tapers corresponding to other forms of c(z). We obtain an exact closed-form solution for the propagator and coupling efficiency of a linearly tapering graded-index waveguide.

© 1991 Optical Society of America

History
Original Manuscript: October 8, 1990
Revised Manuscript: March 7, 1991
Manuscript Accepted: March 14, 1991
Published: August 1, 1991

Citation
Constantinos C. Constantinou and Raymund C. Jones, "Path-integral analysis of tapered, graded-index waveguides," J. Opt. Soc. Am. A 8, 1240-1244 (1991)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-8-8-1240

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