Abstract

Mode conversion due to fluctuations caused by the dielectric-constant inhomogeneities of gaussian autocorrelation in a lens-like medium is discussed. Mean-square value of the mode-conversion coefficient, i.e., the power occupation of the higher mode in the total converted power, is obtained by means of the perturbation technique with the assumption of the fluctuations being smaller than square-law variation of the dielectric constant. The results show that the mode conversion increases in an undulating manner along the length of the gaseous medium, and is proportional to the longitudinal correlation length, whereas it decreases as the transverse correlation length becomes larger.

PDF Article

References

  • View by:
  • |
  • |
  • |

  1. S. E. Miller, Bell System Tech. J., 44, 2017 (1965).
  2. D. Marcuse, Bell System Tech. J., 45, 1345 (1966).
  3. E. A. J. Marcatili, Bell System Tech. J., 46, 149 (1967).
  4. M. Imai, Ph.D. dissertation, Hokkaido University, 1969.
  5. Y. Suematsu adil K. Iga, J. Inst. Electron, Comm. Engrs. Japan 49, 1645 (1966).
  6. Y. Suematsu, K. Iga, and S. Ito, IEEE Trans. MTT-14, 657 (1966).
  7. S. E. Miller and L. C. Tillotson, Proc. IEEE 54, 1300 (1966).
  8. M. Imai, K. Itoh, and T. Matsumoto, J. Inst. Electron. Comm. Engrs. Japan B-51, 185 (1968).
  9. E. A. J. Marcatili, Bell System Tech. J. 43, 2887 (1964).
  10. In a actual gas lens, the fluctuations of the gaseous medium can be kept uniform in a cross section of the gas lens by suitably adjusting the roughness of the heating wall. Hence the gaussian autocorrelation may be more valid than in the open air.4
  11. S. Kikuchi, M. Imai, and T. Matsumoto, Bull. Faculty Engineering, Hokkaido University 53, 181 (1969).
  12. Y. Kinoshita, T. Asakura, and M. Suzuki, J. Opt. Soc. Am. 58, 798 (1968).
  13. A. Erdelyi, Ed., Tables of Integral Transforms (McGraw-Hill Book Co., New York, 1954), pp. 288–292.
  14. A. Erdélyi, W. Magnus, F. Oberhettinger, and F. G. Tricomi, Higher Transcendental Functions (McGraw-Hill Book Co., New York, 1953), p. 189.

1969 (2)

M. Imai, Ph.D. dissertation, Hokkaido University, 1969.

S. Kikuchi, M. Imai, and T. Matsumoto, Bull. Faculty Engineering, Hokkaido University 53, 181 (1969).

1968 (2)

Y. Kinoshita, T. Asakura, and M. Suzuki, J. Opt. Soc. Am. 58, 798 (1968).

M. Imai, K. Itoh, and T. Matsumoto, J. Inst. Electron. Comm. Engrs. Japan B-51, 185 (1968).

1967 (1)

E. A. J. Marcatili, Bell System Tech. J., 46, 149 (1967).

1966 (4)

D. Marcuse, Bell System Tech. J., 45, 1345 (1966).

Y. Suematsu adil K. Iga, J. Inst. Electron, Comm. Engrs. Japan 49, 1645 (1966).

Y. Suematsu, K. Iga, and S. Ito, IEEE Trans. MTT-14, 657 (1966).

S. E. Miller and L. C. Tillotson, Proc. IEEE 54, 1300 (1966).

1965 (1)

S. E. Miller, Bell System Tech. J., 44, 2017 (1965).

1964 (1)

E. A. J. Marcatili, Bell System Tech. J. 43, 2887 (1964).

Asakura, T.

Y. Kinoshita, T. Asakura, and M. Suzuki, J. Opt. Soc. Am. 58, 798 (1968).

Erdélyi, A.

A. Erdélyi, W. Magnus, F. Oberhettinger, and F. G. Tricomi, Higher Transcendental Functions (McGraw-Hill Book Co., New York, 1953), p. 189.

Iga, K.

Y. Suematsu, K. Iga, and S. Ito, IEEE Trans. MTT-14, 657 (1966).

Y. Suematsu adil K. Iga, J. Inst. Electron, Comm. Engrs. Japan 49, 1645 (1966).

Imai, M.

S. Kikuchi, M. Imai, and T. Matsumoto, Bull. Faculty Engineering, Hokkaido University 53, 181 (1969).

M. Imai, Ph.D. dissertation, Hokkaido University, 1969.

M. Imai, K. Itoh, and T. Matsumoto, J. Inst. Electron. Comm. Engrs. Japan B-51, 185 (1968).

Ito, S.

Y. Suematsu, K. Iga, and S. Ito, IEEE Trans. MTT-14, 657 (1966).

Itoh, K.

M. Imai, K. Itoh, and T. Matsumoto, J. Inst. Electron. Comm. Engrs. Japan B-51, 185 (1968).

Kikuchi, S.

S. Kikuchi, M. Imai, and T. Matsumoto, Bull. Faculty Engineering, Hokkaido University 53, 181 (1969).

Kinoshita, Y.

Y. Kinoshita, T. Asakura, and M. Suzuki, J. Opt. Soc. Am. 58, 798 (1968).

Magnus, W.

A. Erdélyi, W. Magnus, F. Oberhettinger, and F. G. Tricomi, Higher Transcendental Functions (McGraw-Hill Book Co., New York, 1953), p. 189.

Marcatili, E. A. J.

E. A. J. Marcatili, Bell System Tech. J., 46, 149 (1967).

E. A. J. Marcatili, Bell System Tech. J. 43, 2887 (1964).

Marcuse, D.

D. Marcuse, Bell System Tech. J., 45, 1345 (1966).

Matsumoto, T.

S. Kikuchi, M. Imai, and T. Matsumoto, Bull. Faculty Engineering, Hokkaido University 53, 181 (1969).

M. Imai, K. Itoh, and T. Matsumoto, J. Inst. Electron. Comm. Engrs. Japan B-51, 185 (1968).

Miller, S. E.

S. E. Miller and L. C. Tillotson, Proc. IEEE 54, 1300 (1966).

S. E. Miller, Bell System Tech. J., 44, 2017 (1965).

Oberhettinger, F.

A. Erdélyi, W. Magnus, F. Oberhettinger, and F. G. Tricomi, Higher Transcendental Functions (McGraw-Hill Book Co., New York, 1953), p. 189.

Suematsu, Y.

Y. Suematsu adil K. Iga, J. Inst. Electron, Comm. Engrs. Japan 49, 1645 (1966).

Y. Suematsu, K. Iga, and S. Ito, IEEE Trans. MTT-14, 657 (1966).

Suzuki, M.

Y. Kinoshita, T. Asakura, and M. Suzuki, J. Opt. Soc. Am. 58, 798 (1968).

Tillotson, L. C.

S. E. Miller and L. C. Tillotson, Proc. IEEE 54, 1300 (1966).

Tricomi, F. G.

A. Erdélyi, W. Magnus, F. Oberhettinger, and F. G. Tricomi, Higher Transcendental Functions (McGraw-Hill Book Co., New York, 1953), p. 189.

Other (14)

S. E. Miller, Bell System Tech. J., 44, 2017 (1965).

D. Marcuse, Bell System Tech. J., 45, 1345 (1966).

E. A. J. Marcatili, Bell System Tech. J., 46, 149 (1967).

M. Imai, Ph.D. dissertation, Hokkaido University, 1969.

Y. Suematsu adil K. Iga, J. Inst. Electron, Comm. Engrs. Japan 49, 1645 (1966).

Y. Suematsu, K. Iga, and S. Ito, IEEE Trans. MTT-14, 657 (1966).

S. E. Miller and L. C. Tillotson, Proc. IEEE 54, 1300 (1966).

M. Imai, K. Itoh, and T. Matsumoto, J. Inst. Electron. Comm. Engrs. Japan B-51, 185 (1968).

E. A. J. Marcatili, Bell System Tech. J. 43, 2887 (1964).

In a actual gas lens, the fluctuations of the gaseous medium can be kept uniform in a cross section of the gas lens by suitably adjusting the roughness of the heating wall. Hence the gaussian autocorrelation may be more valid than in the open air.4

S. Kikuchi, M. Imai, and T. Matsumoto, Bull. Faculty Engineering, Hokkaido University 53, 181 (1969).

Y. Kinoshita, T. Asakura, and M. Suzuki, J. Opt. Soc. Am. 58, 798 (1968).

A. Erdelyi, Ed., Tables of Integral Transforms (McGraw-Hill Book Co., New York, 1954), pp. 288–292.

A. Erdélyi, W. Magnus, F. Oberhettinger, and F. G. Tricomi, Higher Transcendental Functions (McGraw-Hill Book Co., New York, 1953), p. 189.

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.