Abstract

The angular spectrum of plane-waves representation is obtained for the electromagnetic field radiated by a localized current source in a biaxially anisotropic medium. The linear medium is homogeneous throughout all space. It may be absorbing and temporally dispersive but is not spatially dispersive. The conductivity and the permeability are scalar constants. The time behavior of the current is arbitrary except that its magnitude is always bounded and it is zero prior to a fixed finite time. The representation of monochromatic fields radiated by time-harmonic sources is included also in the results. The radiated field is expressed as a superposition of monochromatic extraordinary plane waves propagating in various directions. The spectral amplitudes of the plane waves are determined explicitly in terms of the source. The guide axis of the representation coincides with one of the principal axes of the medium. The form of the solution is particularly appropriate for the study of diffraction, one of the principal axes of the medium.

© 1978 Optical Society of America

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  1. J. J. Stamnes and G. C. Sherman, "Radiation of electromagnetic fields in uniaxially anisotropic media," J. Opt. Soc. Am. 66, 780–788 (1976).
  2. L. B. Felsen and N. Marcuvitz, Radiation and Scattering of Waves (Prentice-Hall, Englewood Cliffs, N. J., 1973).
  3. É. Lalor, "The angular-spectrum representation of electromagnetic fields in crystals. IH. Biaxial crystals," J. Math. Phys. 13, 443–449 (1972).
  4. M. Lax and D. F. Nelson, "Linear and Nonlinear Electrodynamics in Elastic Anisotropic Dielectrics," Phys. Rev. B 4, 3694–3731 (1971).
  5. F. I. Fedorov, Theory of Elastic Waves in Crystals (Plenum, New York, 1968), Chap. II.
  6. Reference 1, Sec. II.
  7. M. Born and E. Wolf, Principles of Optics, 4th ed. (Pergamon, New York, 1970), Chap. XIV.
  8. Reference 5, Eq. (12.77).
  9. P. C. Clemmow, The Plane Wave Spectrum Representation of Electromagnetic Fields (Pergamon, New York, 1966), p. 17.

1976 (1)

1972 (1)

É. Lalor, "The angular-spectrum representation of electromagnetic fields in crystals. IH. Biaxial crystals," J. Math. Phys. 13, 443–449 (1972).

1971 (1)

M. Lax and D. F. Nelson, "Linear and Nonlinear Electrodynamics in Elastic Anisotropic Dielectrics," Phys. Rev. B 4, 3694–3731 (1971).

Born, M.

M. Born and E. Wolf, Principles of Optics, 4th ed. (Pergamon, New York, 1970), Chap. XIV.

Clemmow, P. C.

P. C. Clemmow, The Plane Wave Spectrum Representation of Electromagnetic Fields (Pergamon, New York, 1966), p. 17.

Fedorov, F. I.

F. I. Fedorov, Theory of Elastic Waves in Crystals (Plenum, New York, 1968), Chap. II.

Felsen, L. B.

L. B. Felsen and N. Marcuvitz, Radiation and Scattering of Waves (Prentice-Hall, Englewood Cliffs, N. J., 1973).

Lalor, É.

É. Lalor, "The angular-spectrum representation of electromagnetic fields in crystals. IH. Biaxial crystals," J. Math. Phys. 13, 443–449 (1972).

Lax, M.

M. Lax and D. F. Nelson, "Linear and Nonlinear Electrodynamics in Elastic Anisotropic Dielectrics," Phys. Rev. B 4, 3694–3731 (1971).

Marcuvitz, N.

L. B. Felsen and N. Marcuvitz, Radiation and Scattering of Waves (Prentice-Hall, Englewood Cliffs, N. J., 1973).

Nelson, D. F.

M. Lax and D. F. Nelson, "Linear and Nonlinear Electrodynamics in Elastic Anisotropic Dielectrics," Phys. Rev. B 4, 3694–3731 (1971).

Sherman, G. C.

Stamnes, J. J.

Wolf, E.

M. Born and E. Wolf, Principles of Optics, 4th ed. (Pergamon, New York, 1970), Chap. XIV.

J. Math. Phys. (1)

É. Lalor, "The angular-spectrum representation of electromagnetic fields in crystals. IH. Biaxial crystals," J. Math. Phys. 13, 443–449 (1972).

J. Opt. Soc. Am. (1)

Phys. Rev. B (1)

M. Lax and D. F. Nelson, "Linear and Nonlinear Electrodynamics in Elastic Anisotropic Dielectrics," Phys. Rev. B 4, 3694–3731 (1971).

Other (6)

F. I. Fedorov, Theory of Elastic Waves in Crystals (Plenum, New York, 1968), Chap. II.

Reference 1, Sec. II.

M. Born and E. Wolf, Principles of Optics, 4th ed. (Pergamon, New York, 1970), Chap. XIV.

Reference 5, Eq. (12.77).

P. C. Clemmow, The Plane Wave Spectrum Representation of Electromagnetic Fields (Pergamon, New York, 1966), p. 17.

L. B. Felsen and N. Marcuvitz, Radiation and Scattering of Waves (Prentice-Hall, Englewood Cliffs, N. J., 1973).

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