Abstract

The transformation of Gauss–Laguerre beams with a spherical wave front in a parabolic-index taper as well as the mode-coupling coefficients between the beams and the modes of the fiber behind the taper was analytically investigated in paraxial approximation by using a quantum-theoretical formalism. The taper model that is used here has an infinitely extended parabolic-index profile with an arbitrary longitudinal variation. For such taper elements we have demonstrated some matching and mode-filtering properties, which may be useful for different applications.

© 1992 Optical Society of America

Beam propagation in parabolically tapered graded-index waveguides

Anthony A. Tovar and Lee W. Casperson
Appl. Opt. 33(33) 7733-7739 (1994)

Selective excitation of parabolic-index optical fibers by Gaussian beams

J. Saijonmaa, A. B. Sharma, and S. J. Halme
Appl. Opt. 19(14) 2442-2452 (1980)

Application of the coupled-mode theory to a specialized graded-index optical fiber coupler

Walter K. Kahn and Salama A. Saleh
Appl. Opt. 31(15) 2780-2790 (1992)

The ABCD matrix in graded index tapers used for beam expansion and compression

James N. McMullin
Appl. Opt. 28(7) 1298-1304 (1989)

Propagation and focusing of nonparaxial Gaussian beams with spherical wave fronts in graded-index waveguides with polynomial profiles

S. G. Krivoshlykov and E. G. Sauter
J. Opt. Soc. Am. A 10(2) 262-268 (1993)