Abstract

The classical optical theorem that describes the extinction of electromagnetic radiation by an arbitrary particle is reformulated by use of the diffusion properties of the mutual spectral densities. This reformulation yields three novel coherency tensors: an extinction-loss coherency tensor, a scattering-loss coherency tensor, and an absorption-loss coherency tensor. The first tensor is used to establish the polarimetric optical theorem and to derive the extinction-loss matrix. The second tensor is used to derive the scattering-loss matrix. The third tensor is used to develop the absorption-loss matrix and the absorption cross sections. Furthermore, the derived extinction- and scattering-loss matrices are found to be similar to the extinction coefficient and phase matrices of the vector radiative transfer equations.

© 1998 Optical Society of America

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  1. M. A. Karam, A. K. Fung, “Vector forward scattering theorem,” Radio Sci. 17, 752–756 (1982).
    [CrossRef]
  2. L. Tsang, J. A. Kong, R. T. Shin, Theory of Microwave Remote Sensing (Wiley, New York, 1985).
  3. A. Ishimaru, Wave Propagation and Scattering in Random Media (Academic, New York, 1978), Vols. I and II.
  4. L. Mandel, E. Wolf, “Coherence properties of optical fields,” Rev. Mod. Phys. 37, 231–287 (1965).
    [CrossRef]
  5. E. C. G. Sudarshan, “Quantum theory of radiative transfer,” Phys. Rev. A 23, 2802–2809 (1981).
    [CrossRef]
  6. H. M. Pederson, “Exact geometrical theory of free-space radiative energy transfer,” J. Opt. Soc. Am. A 8, 176–185 (1991).
    [CrossRef]
  7. V. I. Tatarskii, The Effect of the Turbulent Atmosphere on Wave Propagation (National Technical Information Services, Springfield, Va., 1971).
  8. M. N. Vesperinas, “Classical radiometry and radiative transfer theory: a short-wavelength limit of a general mapping of cross-spectral densities in second-order coherence theory,” J. Opt. Soc. Am. A 3, 1354–1359 (1986).
    [CrossRef]
  9. C. H. Papas, Theory of Electromagnetic Wave Propagation (Dover, New York, 1988).
  10. L. Tsang, “Thermal emission of nospherical particles,” Radio Sci. 19, 966–974 (1984).
    [CrossRef]
  11. S. H. Yueh, R. Kwok, “Electromagnetic fluctuations for anisotropic media and the generalized Kirchhoff’s law,” Radio Sci. 28, 471–480 (1993).
    [CrossRef]
  12. M. A. Karam, “A physical model for microwave radiometry of vegetation,” IEEE Trans. Geosci. Remote Sens. 35, 1045–1058 (1997).
    [CrossRef]

1997 (1)

M. A. Karam, “A physical model for microwave radiometry of vegetation,” IEEE Trans. Geosci. Remote Sens. 35, 1045–1058 (1997).
[CrossRef]

1993 (1)

S. H. Yueh, R. Kwok, “Electromagnetic fluctuations for anisotropic media and the generalized Kirchhoff’s law,” Radio Sci. 28, 471–480 (1993).
[CrossRef]

1991 (1)

1986 (1)

1984 (1)

L. Tsang, “Thermal emission of nospherical particles,” Radio Sci. 19, 966–974 (1984).
[CrossRef]

1982 (1)

M. A. Karam, A. K. Fung, “Vector forward scattering theorem,” Radio Sci. 17, 752–756 (1982).
[CrossRef]

1981 (1)

E. C. G. Sudarshan, “Quantum theory of radiative transfer,” Phys. Rev. A 23, 2802–2809 (1981).
[CrossRef]

1965 (1)

L. Mandel, E. Wolf, “Coherence properties of optical fields,” Rev. Mod. Phys. 37, 231–287 (1965).
[CrossRef]

Fung, A. K.

M. A. Karam, A. K. Fung, “Vector forward scattering theorem,” Radio Sci. 17, 752–756 (1982).
[CrossRef]

Ishimaru, A.

A. Ishimaru, Wave Propagation and Scattering in Random Media (Academic, New York, 1978), Vols. I and II.

Karam, M. A.

M. A. Karam, “A physical model for microwave radiometry of vegetation,” IEEE Trans. Geosci. Remote Sens. 35, 1045–1058 (1997).
[CrossRef]

M. A. Karam, A. K. Fung, “Vector forward scattering theorem,” Radio Sci. 17, 752–756 (1982).
[CrossRef]

Kong, J. A.

L. Tsang, J. A. Kong, R. T. Shin, Theory of Microwave Remote Sensing (Wiley, New York, 1985).

Kwok, R.

S. H. Yueh, R. Kwok, “Electromagnetic fluctuations for anisotropic media and the generalized Kirchhoff’s law,” Radio Sci. 28, 471–480 (1993).
[CrossRef]

Mandel, L.

L. Mandel, E. Wolf, “Coherence properties of optical fields,” Rev. Mod. Phys. 37, 231–287 (1965).
[CrossRef]

Papas, C. H.

C. H. Papas, Theory of Electromagnetic Wave Propagation (Dover, New York, 1988).

Pederson, H. M.

Shin, R. T.

L. Tsang, J. A. Kong, R. T. Shin, Theory of Microwave Remote Sensing (Wiley, New York, 1985).

Sudarshan, E. C. G.

E. C. G. Sudarshan, “Quantum theory of radiative transfer,” Phys. Rev. A 23, 2802–2809 (1981).
[CrossRef]

Tatarskii, V. I.

V. I. Tatarskii, The Effect of the Turbulent Atmosphere on Wave Propagation (National Technical Information Services, Springfield, Va., 1971).

Tsang, L.

L. Tsang, “Thermal emission of nospherical particles,” Radio Sci. 19, 966–974 (1984).
[CrossRef]

L. Tsang, J. A. Kong, R. T. Shin, Theory of Microwave Remote Sensing (Wiley, New York, 1985).

Vesperinas, M. N.

Wolf, E.

L. Mandel, E. Wolf, “Coherence properties of optical fields,” Rev. Mod. Phys. 37, 231–287 (1965).
[CrossRef]

Yueh, S. H.

S. H. Yueh, R. Kwok, “Electromagnetic fluctuations for anisotropic media and the generalized Kirchhoff’s law,” Radio Sci. 28, 471–480 (1993).
[CrossRef]

IEEE Trans. Geosci. Remote Sens. (1)

M. A. Karam, “A physical model for microwave radiometry of vegetation,” IEEE Trans. Geosci. Remote Sens. 35, 1045–1058 (1997).
[CrossRef]

J. Opt. Soc. Am. A (2)

Phys. Rev. A (1)

E. C. G. Sudarshan, “Quantum theory of radiative transfer,” Phys. Rev. A 23, 2802–2809 (1981).
[CrossRef]

Radio Sci. (3)

M. A. Karam, A. K. Fung, “Vector forward scattering theorem,” Radio Sci. 17, 752–756 (1982).
[CrossRef]

L. Tsang, “Thermal emission of nospherical particles,” Radio Sci. 19, 966–974 (1984).
[CrossRef]

S. H. Yueh, R. Kwok, “Electromagnetic fluctuations for anisotropic media and the generalized Kirchhoff’s law,” Radio Sci. 28, 471–480 (1993).
[CrossRef]

Rev. Mod. Phys. (1)

L. Mandel, E. Wolf, “Coherence properties of optical fields,” Rev. Mod. Phys. 37, 231–287 (1965).
[CrossRef]

Other (4)

L. Tsang, J. A. Kong, R. T. Shin, Theory of Microwave Remote Sensing (Wiley, New York, 1985).

A. Ishimaru, Wave Propagation and Scattering in Random Media (Academic, New York, 1978), Vols. I and II.

C. H. Papas, Theory of Electromagnetic Wave Propagation (Dover, New York, 1988).

V. I. Tatarskii, The Effect of the Turbulent Atmosphere on Wave Propagation (National Technical Information Services, Springfield, Va., 1971).

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