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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 65, Iss. 1 — Jan. 1, 1975
  • pp: 41–45

Relation between dispersion and power-flow distribution in a dielectric waveguide

Shojiro Kawakami  »View Author Affiliations


JOSA, Vol. 65, Issue 1, pp. 41-45 (1975)
http://dx.doi.org/10.1364/JOSA.65.000041


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Abstract

This paper considers a dielectric waveguide that is uniform in the z direction and composed of N homogeneous regions with ∊ = ∊k and µ = µk (k = 1, 2, …, N). If the electromagnetic field of a specified mode is tightly confined in the vicinity of the k th region, the phase constant β would be mainly determined by ∊k and µk. We present a few simple general relations between dispersion and power-flow distribution. For example, the sum of ∊kµk’s weighted by Pk/∑Pk, where Pk denotes the fractional power carried in the k th region, is equal to 1/vp vg. Another main result is that the partial derivative ∂(β2)/ω2∂(∊kµk) is close to Pk/∑Pk in a weakly guiding dielectric waveguide. Applications of them to analysis of a dielectric surface waveguide are discussed.

Citation
Shojiro Kawakami, "Relation between dispersion and power-flow distribution in a dielectric waveguide," J. Opt. Soc. Am. 65, 41-45 (1975)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-65-1-41


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References

  1. E. A. J. Marcatili, Bell Syst. Tech. J. 48, 2071 (1969).
  2. K. M. Case, J. Math. Phys. 13, 360 (1972).
  3. R. E. Eaves, J. Math. Phys. 14, 432 (1973).
  4. J. E. Goell, Bell Syst. Tech. J. 48, 2133 (1969).
  5. E. A. J. Marcatili, Bell Syst. Tech. J. 53, 645 (1974).
  6. H. Noda, H. Furuta and A. Ihaya, 1974 IEEE/OSA CLEA Conference.
  7. S. Kawakami and S. Nishida, Electron. Lett. 10, 38 (1974).
  8. S. Kawakami and S. Nishida, IEEE J. Quantum Electron. 10, 879 (1974).
  9. R. E. Collin, Field Theory of Guided Waves (McGraw-Hill, New York, 1960), Ch. 11, Sec. 5.
  10. K. Kurokawa, Introduction to the Theory of Microwave Circuits (Academic, New York, 1969).

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