Abstract
We employ the propagating beam method (PBM) to study mode coupling in the framework of the local normal modes of planar, two-dimensional, graded-index optical waveguides. In particular, we examine the effects of periodic radial deformations along the axis of a parabolic, graded-index, waveguide and compare our results to those of perturbation theory. This comparison allows us to establish the accuracy of the PBM and to generate an improved version of a frequently cited PBM formalism based on the full scalar wave equation rather than the Fresnel approximation.
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References
D. Yevick andP. Danielsen,Appl. Opt. 21 (1982) 2727.
J. A. Fleck, T. R. Morris andM. D. Feit,Appl. Phys. 10 (1976) 129.
P. Danielsen andD. Yevick,Appl. Opt. 21 (1982) 4188.
M. D. Feit andT. A. Fleck,ibid. 17 (1978) 3990.
Idem, ibid. 19 (1980) 1154.
J. Van Roey, J. Van Der Donk andP. E. Lagasse,J. Opt. Soc. Amer. 71 (1981) 803.
D. Marcuse, ‘Theory of Dielectrical Optical Waveguides’ (Academic Press, New York 1974) pp. 106–26.
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Yevick, D., Hermansson, B. A numerical investigation of the mode coupling among the local normal modes of sinusoidally modulated parabolic graded-index planar waveguides. Opt Quant Electron 16, 331–337 (1984). https://doi.org/10.1007/BF00620074
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DOI: https://doi.org/10.1007/BF00620074