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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 66, Iss. 7 — Jul. 1, 1976
  • pp: 674–682

Floquet and coupled-waves analysis of higher-order Bragg coupling in a periodic medium

D. L. Jaggard and C. Elachi  »View Author Affiliations

JOSA, Vol. 66, Issue 7, pp. 674-682 (1976)

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We consider wave propagation in longitudinally periodic media near the first- and higher-order Bragg resonances. An extended coupled-waves (ECW) approach is applied to media with single or multiharmonic periodicities and numerically compared to the Floquet theory. The ECW approach predicts coupling coefficients χ that vary as ηN, where η is the magnitude of the perturbation and N is the Bragg order. Explicit expressions are also given for the band-gap width and band-gap shift for all Bragg orders. A number of applications are discussed.

© 1976 Optical Society of America

D. L. Jaggard and C. Elachi, "Floquet and coupled-waves analysis of higher-order Bragg coupling in a periodic medium," J. Opt. Soc. Am. 66, 674-682 (1976)

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