Abstract

The propagation of cylindrical dielectric waveguide modes near cutoff and far from cutoff are considered. The relative amounts of <i>E</i><sub><i>z</i></sub> and <i>H</i><sub><i>z</i></sub>, and the transverse components of the field are determined for both sets of hybrid modes. With the radial dependence of the <i>z</i> components of the field in the central dielectric given by <i>J</i><sub>n</sub> (<i>uγ</i>/<i>α</i>), the transverse components far from cutoff are given by <i>J</i><sub>n±1</sub> (<i>uγ</i>/<i>α</i>), where <i>u</i> is a parameter found from the boundary conditions and which fixes the scale of the Bessel function relative to the boundary <i>γ</i>=a. The two values <i>n</i>+1 and <i>n</i>−1 correspond to the two sets of modes. The designations of the hybrid modes are discussed. Field plots for the lower order modes are given.

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  1. Lord Rayleigh, Phil. Mag. 43, 125 (1897).
  2. D. Hondros and P. Debye, Ann. Physik 32, 465 (1910).
  3. O. Schriever, Ann. Physik 63, 645 (1920).
  4. J. R. Corson, S. P. Mead, and S. A. Schelkunoff, Bell System Tech. J. 15, 310 (1936).
  5. S. A. Schelkunoff, Electromagnetic Waves (D. Van Nostrand Company, Inc., Princeton, New Jersey, 1943), p. 425.
  6. R. E. Beam, M. M. Astrahan, W. C. Jakes, H. M. Wachowski, and W. L. Firestone, Northwestern University Report ATI 94929, Chap. V (1949).
  7. M. Abele, Nuovo cimento 5, 274 (1948).
  8. E. Snitzer and J. W. Hicks, J. Opt. Soc. Am. 49, 1128 (1959), Abstract TB36; H. Osterberg, E. Snitzer, M. Polanyi, R. Hilberg, and J. W. Hicks, ibid. 49, 1128 (1959), Abstract TB37.
  9. J. A. Stratton, Electromagnetic Theory (McGraw-Hill Book Company, Inc., New York, 1941), Chap. V.
  10. H. Wegner, Air Material Command Microfilm ZWV/FB/RE/ 2018, R8117F831.
  11. S. P. Schlesinger and D. D. King, I.R.E. Trans. M.T.T.-6, 291 (1958).
  12. J. F. Reintzes and G. T. Coate, Principles of Radar (McGraw-Hill Book Company, Inc., New York, 1952), 3rd ed., Chap. 8, p. 609.

Abele, M.

M. Abele, Nuovo cimento 5, 274 (1948).

Astrahan, M. M.

R. E. Beam, M. M. Astrahan, W. C. Jakes, H. M. Wachowski, and W. L. Firestone, Northwestern University Report ATI 94929, Chap. V (1949).

Beam, R. E.

R. E. Beam, M. M. Astrahan, W. C. Jakes, H. M. Wachowski, and W. L. Firestone, Northwestern University Report ATI 94929, Chap. V (1949).

Coate, G. T.

J. F. Reintzes and G. T. Coate, Principles of Radar (McGraw-Hill Book Company, Inc., New York, 1952), 3rd ed., Chap. 8, p. 609.

Corson, J. R.

J. R. Corson, S. P. Mead, and S. A. Schelkunoff, Bell System Tech. J. 15, 310 (1936).

Debye, P.

D. Hondros and P. Debye, Ann. Physik 32, 465 (1910).

Firestone, W. L.

R. E. Beam, M. M. Astrahan, W. C. Jakes, H. M. Wachowski, and W. L. Firestone, Northwestern University Report ATI 94929, Chap. V (1949).

Hicks, J. W.

E. Snitzer and J. W. Hicks, J. Opt. Soc. Am. 49, 1128 (1959), Abstract TB36; H. Osterberg, E. Snitzer, M. Polanyi, R. Hilberg, and J. W. Hicks, ibid. 49, 1128 (1959), Abstract TB37.

Hondros, D.

D. Hondros and P. Debye, Ann. Physik 32, 465 (1910).

Jakes, W. C.

R. E. Beam, M. M. Astrahan, W. C. Jakes, H. M. Wachowski, and W. L. Firestone, Northwestern University Report ATI 94929, Chap. V (1949).

King, D. D.

S. P. Schlesinger and D. D. King, I.R.E. Trans. M.T.T.-6, 291 (1958).

Mead, S. P.

J. R. Corson, S. P. Mead, and S. A. Schelkunoff, Bell System Tech. J. 15, 310 (1936).

Rayleigh, Lord

Lord Rayleigh, Phil. Mag. 43, 125 (1897).

Reintzes, J. F.

J. F. Reintzes and G. T. Coate, Principles of Radar (McGraw-Hill Book Company, Inc., New York, 1952), 3rd ed., Chap. 8, p. 609.

Schelkunoff, S. A.

J. R. Corson, S. P. Mead, and S. A. Schelkunoff, Bell System Tech. J. 15, 310 (1936).

S. A. Schelkunoff, Electromagnetic Waves (D. Van Nostrand Company, Inc., Princeton, New Jersey, 1943), p. 425.

Schlesinger, S. P.

S. P. Schlesinger and D. D. King, I.R.E. Trans. M.T.T.-6, 291 (1958).

Schriever, O.

O. Schriever, Ann. Physik 63, 645 (1920).

Snitzer, E.

E. Snitzer and J. W. Hicks, J. Opt. Soc. Am. 49, 1128 (1959), Abstract TB36; H. Osterberg, E. Snitzer, M. Polanyi, R. Hilberg, and J. W. Hicks, ibid. 49, 1128 (1959), Abstract TB37.

Stratton, J. A.

J. A. Stratton, Electromagnetic Theory (McGraw-Hill Book Company, Inc., New York, 1941), Chap. V.

Wachowski, H. M.

R. E. Beam, M. M. Astrahan, W. C. Jakes, H. M. Wachowski, and W. L. Firestone, Northwestern University Report ATI 94929, Chap. V (1949).

Wegner, H.

H. Wegner, Air Material Command Microfilm ZWV/FB/RE/ 2018, R8117F831.

Other (12)

Lord Rayleigh, Phil. Mag. 43, 125 (1897).

D. Hondros and P. Debye, Ann. Physik 32, 465 (1910).

O. Schriever, Ann. Physik 63, 645 (1920).

J. R. Corson, S. P. Mead, and S. A. Schelkunoff, Bell System Tech. J. 15, 310 (1936).

S. A. Schelkunoff, Electromagnetic Waves (D. Van Nostrand Company, Inc., Princeton, New Jersey, 1943), p. 425.

R. E. Beam, M. M. Astrahan, W. C. Jakes, H. M. Wachowski, and W. L. Firestone, Northwestern University Report ATI 94929, Chap. V (1949).

M. Abele, Nuovo cimento 5, 274 (1948).

E. Snitzer and J. W. Hicks, J. Opt. Soc. Am. 49, 1128 (1959), Abstract TB36; H. Osterberg, E. Snitzer, M. Polanyi, R. Hilberg, and J. W. Hicks, ibid. 49, 1128 (1959), Abstract TB37.

J. A. Stratton, Electromagnetic Theory (McGraw-Hill Book Company, Inc., New York, 1941), Chap. V.

H. Wegner, Air Material Command Microfilm ZWV/FB/RE/ 2018, R8117F831.

S. P. Schlesinger and D. D. King, I.R.E. Trans. M.T.T.-6, 291 (1958).

J. F. Reintzes and G. T. Coate, Principles of Radar (McGraw-Hill Book Company, Inc., New York, 1952), 3rd ed., Chap. 8, p. 609.

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