Angular Spectrum of Modified Cylindrical Wave-Functions
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The plane-wave expansion of the modified cylindrical functions, i.e., the product of the mth-order modified Bessel function K m and the angular factor exp(imϑ), is given. This expansion, which is found to involve only evanescent plane waves, may be used in the study of coupling phenomena between circular and planar guiding structures.
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- M. Abramowitz and I. Stegun, Handbook of mathematical functions, (Dover, New York, 1972).Google Scholar
- D. Marcuse, Light Transmission Optics (Van Nostrand Reinhold, New York, 1972), Ch. 8.Google Scholar
- E. Kapon, J. Katz, and A. Yariv, “Supermode analysis of phase-locked arrays of semiconductor lasers,” Opt. Lett. 9, 125 (1984).Google Scholar
- C. Vassallo, “Rigorous theory for modes of optical fibres with cladding limited by a plane,” Electron. Lett. 22, 944–945 (1986).Google Scholar
- D. Marcuse, “Investigation of coupling between a fiber and an infinite slab,” J. Lightwave Technol. 7, 122–130 (1989).Google Scholar
- R. Vallée and G. He, “Coupling between an optical fiber and a planar waveguide,” Opt. Commun. 126, 293–307 (1996).Google Scholar
- W. Zakowicz, “Two coupled dielectric cylindrical waveguides,” J. Opt. Soc. Am. A 14, 580–587 (1997).Google Scholar
- G. Cincotti, F. Gori, M. Santarsiero, F. Frezza, F. Furnò, and G. Schettini, “Plane wave expansion of cylindrical functions,” Opt. Commun. 95, 192–198 (1993).Google Scholar
- R. Borghi, F. Gori, M. Santarsiero, F. Frezza, and G. Schettini, “Plane-wave scattering by a perfectly conducting circular cylinder near a plane surface: cylindrical-wave approach,” J. Opt. Soc. Am. A 13, 483–493 (1996).Google Scholar
- A. Sommerfeld, Lectures on Theoretical Physics, vol. 6 (Academic Press, New York, 1964), Ch. 4.Google Scholar
- K. S. Kaufman, R. Terras, R. F. Mathis, “Curvature loss in multimode optical fibers,” J. Opt. Soc. Am. 71, 1513–1518 (1981).Google Scholar