Abstract

Using an ansatz for the eigenfunction, I obtain an exact analytic solution of the radially inhomogeneous circular waveguide problem for a polynomial profile of the form f(r) = ar² − br⁴ + cr⁶, where the expansion coefficients a, b, and c, are positive and satisfy the constraint b² = 8c^3/2(m + 2) + 4ac, with m = 0, 1, 2, ….

© 1991 Optical Society of America

Morphology-dependent resonances in radially inhomogeneous spheres

D. Q. Chowdhury, S. C. Hill, and P. W. Barber
J. Opt. Soc. Am. A 8(11) 1702-1705 (1991)

Steepest-descent approximation theory for guided modes of weakly guiding optical waveguides and fibers

Gen-Wang Wen
J. Opt. Soc. Am. A 8(2) 295-302 (1991)

Time-dependent radiative transfer in inhomogeneous and dispersive media: application to multimode fibers

Michael J. Yadlowsky and Alan R. Mickelson
J. Opt. Soc. Am. A 8(6) 967-975 (1991)

Transform technique for planar optical waveguides

Shiva Kumar, T. Srinivas, and A. Selvarajan
J. Opt. Soc. Am. A 8(11) 1681-1687 (1991)

Off-axis complex-argument polynomial-Gaussian beams in optical systems

Anthony A. Tovar and Lee W. Casperson
J. Opt. Soc. Am. A 8(1) 60-68 (1991)