Abstract

A recursive solution of the small-perturbation method for rough surface scattering is presented. These results permit fourth- and higher-order corrections to rough surface scattering coefficients to be determined in a form that explicitly separates surface and electromagnetic properties. Sample results are presented for the fourth-order correction to the specular reflection coefficient of a rough surface and the sixth-order correction to incoherent scattering cross sections.

© 2003 Optical Society of America

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  1. S. O. Rice, “Reflection of electromagnetic waves from slightly rough surfaces,” Commun. Pure Appl. Math. 4, 361–378 (1951).
    [CrossRef]
  2. J. T. Johnson, “Third-order small-perturbation method for scattering from dielectric rough surfaces,” J. Opt. Soc. Am. A 16, 2720–2726 (1999).
    [CrossRef]
  3. A. G. Voronovich, Wave Scattering from Rough Surfaces (Springer-Verlag, Berlin, 1994).
  4. V. G. Irisov, “Small-slope expansion for thermal and reflected radiation from a rough surface,” Waves Random Media 7, 1–10 (1997).
    [CrossRef]
  5. J. T. Johnson, Y. Cai, “A theoretical study of sea surface up/down wind brightness temperature differences,” IEEE Trans. Geosci. Remote Sens. 40, 66–78 (2002).
    [CrossRef]
  6. G. R. Valenzuela, “Depolarization of EM waves by slightly rough surfaces,” IEEE Trans. Antennas Propag. AP-15, 552–557 (1967).
    [CrossRef]
  7. L. Tsang, J. A. Kong, R. T. Shin, Theory of Microwave Remote Sensing (Wiley, New York, 1985).
  8. M. Nieto-Vesperinas, N. Garcia, “A detailed study of the scattering of scalar waves from random rough surfaces,” Opt. Acta 28, 1651–1672 (1981).
    [CrossRef]
  9. R. D. De Roo, F. T. Ulaby, “Bistatic specular scattering from rough dielectric surfaces,” IEEE Trans. Antennas Propag. 42, 220–231 (1994).
    [CrossRef]
  10. J. J. Greffet, “Theoretical model of the shift of the Brewster angle on a rough surface,” Opt. Lett. 17, 238–240 (1992).
    [CrossRef] [PubMed]

2002 (1)

J. T. Johnson, Y. Cai, “A theoretical study of sea surface up/down wind brightness temperature differences,” IEEE Trans. Geosci. Remote Sens. 40, 66–78 (2002).
[CrossRef]

1999 (1)

1997 (1)

V. G. Irisov, “Small-slope expansion for thermal and reflected radiation from a rough surface,” Waves Random Media 7, 1–10 (1997).
[CrossRef]

1994 (1)

R. D. De Roo, F. T. Ulaby, “Bistatic specular scattering from rough dielectric surfaces,” IEEE Trans. Antennas Propag. 42, 220–231 (1994).
[CrossRef]

1992 (1)

1981 (1)

M. Nieto-Vesperinas, N. Garcia, “A detailed study of the scattering of scalar waves from random rough surfaces,” Opt. Acta 28, 1651–1672 (1981).
[CrossRef]

1967 (1)

G. R. Valenzuela, “Depolarization of EM waves by slightly rough surfaces,” IEEE Trans. Antennas Propag. AP-15, 552–557 (1967).
[CrossRef]

1951 (1)

S. O. Rice, “Reflection of electromagnetic waves from slightly rough surfaces,” Commun. Pure Appl. Math. 4, 361–378 (1951).
[CrossRef]

Cai, Y.

J. T. Johnson, Y. Cai, “A theoretical study of sea surface up/down wind brightness temperature differences,” IEEE Trans. Geosci. Remote Sens. 40, 66–78 (2002).
[CrossRef]

De Roo, R. D.

R. D. De Roo, F. T. Ulaby, “Bistatic specular scattering from rough dielectric surfaces,” IEEE Trans. Antennas Propag. 42, 220–231 (1994).
[CrossRef]

Garcia, N.

M. Nieto-Vesperinas, N. Garcia, “A detailed study of the scattering of scalar waves from random rough surfaces,” Opt. Acta 28, 1651–1672 (1981).
[CrossRef]

Greffet, J. J.

Irisov, V. G.

V. G. Irisov, “Small-slope expansion for thermal and reflected radiation from a rough surface,” Waves Random Media 7, 1–10 (1997).
[CrossRef]

Johnson, J. T.

J. T. Johnson, Y. Cai, “A theoretical study of sea surface up/down wind brightness temperature differences,” IEEE Trans. Geosci. Remote Sens. 40, 66–78 (2002).
[CrossRef]

J. T. Johnson, “Third-order small-perturbation method for scattering from dielectric rough surfaces,” J. Opt. Soc. Am. A 16, 2720–2726 (1999).
[CrossRef]

Kong, J. A.

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

Nieto-Vesperinas, M.

M. Nieto-Vesperinas, N. Garcia, “A detailed study of the scattering of scalar waves from random rough surfaces,” Opt. Acta 28, 1651–1672 (1981).
[CrossRef]

Rice, S. O.

S. O. Rice, “Reflection of electromagnetic waves from slightly rough surfaces,” Commun. Pure Appl. Math. 4, 361–378 (1951).
[CrossRef]

Shin, R. T.

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

Tsang, L.

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

Ulaby, F. T.

R. D. De Roo, F. T. Ulaby, “Bistatic specular scattering from rough dielectric surfaces,” IEEE Trans. Antennas Propag. 42, 220–231 (1994).
[CrossRef]

Valenzuela, G. R.

G. R. Valenzuela, “Depolarization of EM waves by slightly rough surfaces,” IEEE Trans. Antennas Propag. AP-15, 552–557 (1967).
[CrossRef]

Voronovich, A. G.

A. G. Voronovich, Wave Scattering from Rough Surfaces (Springer-Verlag, Berlin, 1994).

Commun. Pure Appl. Math. (1)

S. O. Rice, “Reflection of electromagnetic waves from slightly rough surfaces,” Commun. Pure Appl. Math. 4, 361–378 (1951).
[CrossRef]

IEEE Trans. Antennas Propag. (2)

G. R. Valenzuela, “Depolarization of EM waves by slightly rough surfaces,” IEEE Trans. Antennas Propag. AP-15, 552–557 (1967).
[CrossRef]

R. D. De Roo, F. T. Ulaby, “Bistatic specular scattering from rough dielectric surfaces,” IEEE Trans. Antennas Propag. 42, 220–231 (1994).
[CrossRef]

IEEE Trans. Geosci. Remote Sens. (1)

J. T. Johnson, Y. Cai, “A theoretical study of sea surface up/down wind brightness temperature differences,” IEEE Trans. Geosci. Remote Sens. 40, 66–78 (2002).
[CrossRef]

J. Opt. Soc. Am. A (1)

Opt. Acta (1)

M. Nieto-Vesperinas, N. Garcia, “A detailed study of the scattering of scalar waves from random rough surfaces,” Opt. Acta 28, 1651–1672 (1981).
[CrossRef]

Opt. Lett. (1)

Waves Random Media (1)

V. G. Irisov, “Small-slope expansion for thermal and reflected radiation from a rough surface,” Waves Random Media 7, 1–10 (1997).
[CrossRef]

Other (2)

A. G. Voronovich, Wave Scattering from Rough Surfaces (Springer-Verlag, Berlin, 1994).

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

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