Abstract

The problem of the propagation of modes along a moving dielectric interface is considered. Two types of dielectric structures were considered in particular: a moving dielectric slab and a moving dielectric circular cylinder. The characteristic equations for modes along these two types of structures are derived and a detailed discussion concerning these characteristic equations is also given. As a specific example, numerical results for the guide wavelength of the dominant TE wave along a moving dielectric slab as a function of frequency for various values of υ<sub>z</sub>/<i>c</i>, where υ<sub>z</sub>, is the velocity of the moving dielectric material and <i>c</i> is the velocity of light in vacuum, were presented. It is found that if υ<sub>z</sub>/<i>c</i> > (±<sub>1</sub>/±<sub>0</sub>)<sup>-½</sup>, the moving dielectric structure can support a forward wave as well as a backward wave and there also exists a high-frequency cutoff for the dominant mode under consideration.

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  1. L. V. Boffi, "Electrodynamics of Moving Media," Ph.D. dissertation, Mass. Inst. of Tech., Cambridge (1958).
  2. R. M. Fano, L. J. Chu, and R. B. Adler, Electromagnetic Fields, Energy and Forces Cohn Wiley & Sons, Inc., New York, 1960), p. 315.
  3. C. T. Tai, Proc. IEEE 52, 685 (1964).
  4. R. S. Elliott, Electromagnetics (McGraw-Hill Book Co., New York, 1966), pp. 98–272.
  5. L. J. Chu, H. A. Haus, and P. Penfield, Jr., Proc. IEEE 54, 920 (1966).
  6. K. S. Lee and C. H. Papas, J. Math. Phys. 5, 1668 (1964).
  7. J. R. Collier and C. T. Tai, IEEE Trans. Microwave Theory Techniques MTT-13, 441 (1965).
  8. H. Fujioka, K. Yoshida, and N. Kumagai, IEEE Trans. Microwave Theory Techniques MTT-15, 265 (1967); P. Daly, MTT-15, 274 (1967).
  9. C. T. Tai, Radio Sci. 69D, 401 (1965).
  10. C. Yeh, J. Appl. Phys. 36, 3513 (1965).
  11. R. T. Compton, Jr., J. Math. Phys. 7, 2145 (1966).
  12. C. T. Tai, J. Math. Phys. 8, 646 (1967).
  13. R. E. Collins, Field Theory of Guided Waves (McGraw-Hill Book Co., New York, 1960), pp. 470–474.
  14. A. Sommerfeld, Electrodynamics (Academic Press Inc., New York, 1952), p. 120.

Adler, R. B.

R. M. Fano, L. J. Chu, and R. B. Adler, Electromagnetic Fields, Energy and Forces Cohn Wiley & Sons, Inc., New York, 1960), p. 315.

Boffi, L. V.

L. V. Boffi, "Electrodynamics of Moving Media," Ph.D. dissertation, Mass. Inst. of Tech., Cambridge (1958).

Chu, L. J.

R. M. Fano, L. J. Chu, and R. B. Adler, Electromagnetic Fields, Energy and Forces Cohn Wiley & Sons, Inc., New York, 1960), p. 315.

L. J. Chu, H. A. Haus, and P. Penfield, Jr., Proc. IEEE 54, 920 (1966).

Collier, J. R.

J. R. Collier and C. T. Tai, IEEE Trans. Microwave Theory Techniques MTT-13, 441 (1965).

Collins, R. E.

R. E. Collins, Field Theory of Guided Waves (McGraw-Hill Book Co., New York, 1960), pp. 470–474.

Compton, Jr., R. T.

R. T. Compton, Jr., J. Math. Phys. 7, 2145 (1966).

Elliott, R. S.

R. S. Elliott, Electromagnetics (McGraw-Hill Book Co., New York, 1966), pp. 98–272.

Fano, R. M.

R. M. Fano, L. J. Chu, and R. B. Adler, Electromagnetic Fields, Energy and Forces Cohn Wiley & Sons, Inc., New York, 1960), p. 315.

Fujioka, H.

H. Fujioka, K. Yoshida, and N. Kumagai, IEEE Trans. Microwave Theory Techniques MTT-15, 265 (1967); P. Daly, MTT-15, 274 (1967).

Haus, H. A.

L. J. Chu, H. A. Haus, and P. Penfield, Jr., Proc. IEEE 54, 920 (1966).

Kumagai, N.

H. Fujioka, K. Yoshida, and N. Kumagai, IEEE Trans. Microwave Theory Techniques MTT-15, 265 (1967); P. Daly, MTT-15, 274 (1967).

Lee, K. S.

K. S. Lee and C. H. Papas, J. Math. Phys. 5, 1668 (1964).

Papas, C. H.

K. S. Lee and C. H. Papas, J. Math. Phys. 5, 1668 (1964).

Penfield, Jr., P.

L. J. Chu, H. A. Haus, and P. Penfield, Jr., Proc. IEEE 54, 920 (1966).

Sommerfeld, A.

A. Sommerfeld, Electrodynamics (Academic Press Inc., New York, 1952), p. 120.

Tai, C. T.

C. T. Tai, J. Math. Phys. 8, 646 (1967).

C. T. Tai, Proc. IEEE 52, 685 (1964).

J. R. Collier and C. T. Tai, IEEE Trans. Microwave Theory Techniques MTT-13, 441 (1965).

C. T. Tai, Radio Sci. 69D, 401 (1965).

Yeh, C.

C. Yeh, J. Appl. Phys. 36, 3513 (1965).

Yoshida, K.

H. Fujioka, K. Yoshida, and N. Kumagai, IEEE Trans. Microwave Theory Techniques MTT-15, 265 (1967); P. Daly, MTT-15, 274 (1967).

Other (14)

L. V. Boffi, "Electrodynamics of Moving Media," Ph.D. dissertation, Mass. Inst. of Tech., Cambridge (1958).

R. M. Fano, L. J. Chu, and R. B. Adler, Electromagnetic Fields, Energy and Forces Cohn Wiley & Sons, Inc., New York, 1960), p. 315.

C. T. Tai, Proc. IEEE 52, 685 (1964).

R. S. Elliott, Electromagnetics (McGraw-Hill Book Co., New York, 1966), pp. 98–272.

L. J. Chu, H. A. Haus, and P. Penfield, Jr., Proc. IEEE 54, 920 (1966).

K. S. Lee and C. H. Papas, J. Math. Phys. 5, 1668 (1964).

J. R. Collier and C. T. Tai, IEEE Trans. Microwave Theory Techniques MTT-13, 441 (1965).

H. Fujioka, K. Yoshida, and N. Kumagai, IEEE Trans. Microwave Theory Techniques MTT-15, 265 (1967); P. Daly, MTT-15, 274 (1967).

C. T. Tai, Radio Sci. 69D, 401 (1965).

C. Yeh, J. Appl. Phys. 36, 3513 (1965).

R. T. Compton, Jr., J. Math. Phys. 7, 2145 (1966).

C. T. Tai, J. Math. Phys. 8, 646 (1967).

R. E. Collins, Field Theory of Guided Waves (McGraw-Hill Book Co., New York, 1960), pp. 470–474.

A. Sommerfeld, Electrodynamics (Academic Press Inc., New York, 1952), p. 120.

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