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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 11, Iss. 9 — Sep. 1, 1972
  • pp: 1952–1959

Evanescent-Wave Interactions in an Optical Wave-Guiding Structure

K. O. Hill, A. Watanabe, and J. G. Chambers  »View Author Affiliations


Applied Optics, Vol. 11, Issue 9, pp. 1952-1959 (1972)
http://dx.doi.org/10.1364/AO.11.001952


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Abstract

Several types of waveguiding structures are known that can support the propagation of a finite number of bound electromagnetic modes. Two such structures are the dielectric slab and the optical fiber. In both structures the electromagnetic field associated with the bound modes extends beyond the central region; that part of the field that penetrates into the surrounding medium is termed evanescent. In this paper we use first-order perturbation theory to treat the effects caused by a surrounding medium with gain on the bound modes of the dielectric slab. A noteworthy effect is the amplification of these bound modes in accordance with formulas we present and which arises by evanescent-wave interaction with the surrounding medium.

© 1972 Optical Society of America

History
Original Manuscript: December 21, 1971
Published: September 1, 1972

Citation
K. O. Hill, A. Watanabe, and J. G. Chambers, "Evanescent-Wave Interactions in an Optical Wave-Guiding Structure," Appl. Opt. 11, 1952-1959 (1972)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-11-9-1952


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References

  1. See, for example, R. E. Collins, Field Theory of Guided Waves (McGraw-Hill, New York, 1960).
  2. R. A. Kaplan, Proc. IEEE 51, 1144 (1963). [CrossRef]
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  13. The structure of Eq. (4) can be transformed into exactly that of the one-dimensional Schrödinger equation by allowing kx2 = ∊0μω2 − kz2. Equation (4) then becomes ∂2Ey/∂z2 + {kz2 − [∊0 − ∊(z)]μω2}Ey = 0, which is recognizable as being in the exact form of the one-dimensional Schrödinger equation.
  14. See, for example, J. A. Stratton, Electromagnetic Theory (McGraw-Hill, New York, 1941).
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