Abstract

An integral representation technique, which was developed for calculating the modal properties of a single homogeneous weakly guiding dielectric waveguide of arbitrary cross-sectional shape, is extended to the calculation of the modes of an ensemble of two or more such guides arrayed in arbitrary spatial configurations. Detailed numerical results are presented for two identical circular, two identical square, and two identical rectangular guides, and excellent agreement with almost all published data is found. Similar calculations are made for two dissimilar guides. The technique is also applied to a weakly coupled linear array of N identical, circular, uniformly spaced guides, where <i>N</i> = 3,4,5, and 6.

© 1981 Optical Society of America

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  1. L. Eyges, P. Gianino, and P. Wintersteiner, "Modes of dielectric waveguides of arbitrary cross sectional shape," J. Opt. Soc. Am. 69, 1226–1235 (1979).
  2. A. W. Snyder and W. R. Young, "Modes of optical waveguides," J. Opt. Soc. Am. 68, 297–309 (1978).
  3. G. Meltz and E. Snitzer, "Thermal and dispersive characteristics of multicore fibers," URSI Symposium on Electromagnetic Waves, Munich, Federal Republic of Germany, 1979 (to be published).
  4. W. Wijngaard, "Guided normal modes of two parallel circular dielectric rods," J. Opt. Soc. Am. 63, 944–950, (1973).
  5. A. W. Snyder, "Coupled-mode theory for optical fibers," J. Opt. Soc. Am. 62, 1267–1277 (1972).
  6. P. D. McIntyre and A. W. Snyder, "Power transfer between optical fibers," J. Opt. Soc. Am. 63, 1518–1527 (1973).
  7. E. A. J. Marcatili, "Dielectric rectangular waveguide and directional coupler for integrated optics," Bell Syst. Tech. J. 48, 2071–2102 (1969).

1979 (1)

1978 (1)

1973 (2)

1972 (1)

1969 (1)

E. A. J. Marcatili, "Dielectric rectangular waveguide and directional coupler for integrated optics," Bell Syst. Tech. J. 48, 2071–2102 (1969).

Eyges, L.

Gianino, P.

Marcatili, E. A. J.

E. A. J. Marcatili, "Dielectric rectangular waveguide and directional coupler for integrated optics," Bell Syst. Tech. J. 48, 2071–2102 (1969).

McIntyre, P. D.

Meltz, G.

G. Meltz and E. Snitzer, "Thermal and dispersive characteristics of multicore fibers," URSI Symposium on Electromagnetic Waves, Munich, Federal Republic of Germany, 1979 (to be published).

Snitzer, E.

G. Meltz and E. Snitzer, "Thermal and dispersive characteristics of multicore fibers," URSI Symposium on Electromagnetic Waves, Munich, Federal Republic of Germany, 1979 (to be published).

Snyder, A. W.

Wijngaard, W.

Wintersteiner, P.

Young, W. R.

Bell Syst. Tech. J. (1)

E. A. J. Marcatili, "Dielectric rectangular waveguide and directional coupler for integrated optics," Bell Syst. Tech. J. 48, 2071–2102 (1969).

J. Opt. Soc. Am. (5)

Other (1)

G. Meltz and E. Snitzer, "Thermal and dispersive characteristics of multicore fibers," URSI Symposium on Electromagnetic Waves, Munich, Federal Republic of Germany, 1979 (to be published).

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