E. I. Thorsos, D. R. Jackson, “The validity of the pertubative approximation for rough surface scattering using a Gaussian roughness spectrum,” J. Acoust. Soc. Am. 86, 261–277 (1989).

[CrossRef]

J. M. Soto-Crespo, M. Nieto-Vesperinas, “Electromagnetic scattering from very rough random surfaces and deep reflection gratings,” J. Opt. Soc. Am. A 6, 367–384 (1989).

[CrossRef]

A. A. Maradudin, E. R. Méndez, T. Michel, “Backscattering effects in the elastic scattering of p-polarized light from a large-amplitude random metallic grating,” Opt. Lett. 14, 151–153 (1989).

[CrossRef]
[PubMed]

M. F. Chen, A. K. Fung, “A numerical study of the regions of validity of the Kirchhoff and small-perturbation rough surface scattering models,” Radio Sci. 23, 163–170 (1988).

[CrossRef]

P. Tran, V. Celli, “Monte Carlo calculations of backscattering enhancement for a randomly rough grating,” J. Opt. Soc. Am. A 5, 1635–1637 (1988).

[CrossRef]

E. I. Thorsos, “The validity of the Kirchhoff approximation for rough surface scattering using a Gaussian roughness spectrum,” J. Acoust. Soc. Am. 83, 78–92 (1988).

[CrossRef]

M. Nieto-Vesperinas, J. M. Soto-Crespo, “Monte Carlo simulations for scattering of electromagnetic waves from perfectly conductive random rough surfaces,” Opt. Lett. 12, 979–981 (1987).

[CrossRef]
[PubMed]

R. Schiffer, “Reflectivity of a slightly rough surfaces,” Appl. Opt. 26, 704–712 (1987).

[CrossRef]
[PubMed]

C. Eftimiu, G. V. Welland, “The use of Padé approximants in rough surface scattering,” IEEE Trans. Antennas Propag. AP-35, 721–727 (1987).

[CrossRef]

D. Holliday, “Resolution of a controversy surrounding the Kirchhoff approach and the small perturbation method in rough surface scattering theory,” IEEE Trans. Antennas Propag. AP-35, 120–122 (1987).

[CrossRef]

J. P. Rossi, D. Maystre, “Rigorous numerical study of speckle patterns for two dimensional, random microrough surfaces,” Opt. Eng. 25, 613–617 (1986).

[CrossRef]

V. Celli, A. A. Maradudin, A. M. Marvin, A. R. McGurn, “Some aspects of light scattering from a randomly rough metal surface,” J. Opt. Soc. Am. A 2, 2225–2239 (1985).

[CrossRef]

D. P. Winebrener, A. Ishimaru, “Application of the phase-perturbation technique to randomly rough surfaces,” J. Opt. Soc. Am. A 2, 2285–2293 (1985).

[CrossRef]

D. P. Winebrener, A. Ishimaru, “Investigation of a surface field phase-perturbation technique for scattering from rough surfaces,” Radio. Sci. 20, 161–170 (1985).

[CrossRef]

G. S. Brown, “A comparison of approximate theories for scattering from rough surfaces,” Wave Motion 7, 195–205 (1985).

[CrossRef]

N. García, E. Stoll, “Monte Carlo calculation for electromagnetic-wave scattering from random rough surfaces,” Phys. Rev. Lett. 52, 1798–1801 (1984).

[CrossRef]

A. Wirgin, “Scattering from sinusoidal gratings: an evaluation of the Kirchhoff approximation,” J. Opt.Soc. Am. 73, 1028–1041 (1983).

[CrossRef]

J. C. Leader, “The relationship between the Kirchhoff approach and small perturbation analysis in rough surface scattering theory,” IEEE Trans. Antennas Propag. AP-19, 786–788 (1981).

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

[CrossRef]

J. Shen, A. A. Maradudin, “Multiple scattering of waves from random rough surfaces,” Phys. Rev. B 22, 4234–4240 (1980).

[CrossRef]

A. Wirgin, “On Rayleigh’s theory of sinusoidal gratings,” Opt. Acta 27, 1671–1692 (1980).

[CrossRef]

N. García, V. Celli, M. Nieto-Vesperinas, “Exact multiple scattering of waves from random rough surfaces,” Opt. Commun. 30, 279–281 (1979).

[CrossRef]

N. García, N. Cabrera, “New methods for solving the scattering of waves from a periodic hard surface: solutions and numerical comparisons with the various formalisms,” Phys. Rev. B 18, 576–589 (1978).

[CrossRef]

N. García, “The scattering of He atoms from a hard corrugated surface model using the GR method. I.” J. Chem. Phys. 67, 897–916 (1977).

[CrossRef]

G. S. Agarwal, “Interaction of electromagnetic waves at rough dielectric surfaces,” Phys. Rev. B 15, 2371–2383 (1977).

[CrossRef]

F. Toigo, A. Marvin, V. Celli, N. R. Hill, “Optical properties of rough surfaces: general theory and the small roughness limit,” Phys. Rev. B 15, 5618–5626 (1977).

[CrossRef]

N. García, J. Ibañez, J. Solana, N. Cabrera, “On the ‘quantum rainbow’ in surface scattering,” Solid State Commun. 20, 1159–1163 (1976).

[CrossRef]

R. F. Millar, “The Rayleigh hypothesis and a related least-squares solution to scattering problems for periodic surfaces and other scatterers,” Radio Sci. 8, 785–796 (1973).

[CrossRef]

G. R. Valenzuela, J. W. Wright, J. C. Leader, “Comments on the relationship between the Kirchhoff approach and small perturbation analysis in rough surface scattering theory,” IEEE Trans. Antennas Propag. AP-20, 536–539 (1972).

[CrossRef]

R. F. Millar, “On the Rayleigh assumption in scattering by a periodic surface. II,” Proc. Cambridge Philos. Soc. 69, 217–224 (1971).

[CrossRef]

R. F. Millar, “On the Rayleigh assumption in scattering by a periodic surface,” Proc. Cambridge Philos. Soc. 65, 773–791 (1969).

[CrossRef]

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

[CrossRef]

R. Petit, M. Cadilhac, “Sur la diffraction d’une onde plane par un réseau infinement conducteur. Note,” C. R. Acad. Sci. B 262, 468–471 (1966).

J. L. Urestky, “The scattering of plane waves from periodic surfaces,” Ann. Phys. (NY) 33, 400–427 (1965).

[CrossRef]

S. O. Rice, “Reflection of electromagnetic waves from slightly rough surfaces,” Commun. Pure Appl. Math. 4, 351–378 (1951).

[CrossRef]

G. S. Agarwal, “Interaction of electromagnetic waves at rough dielectric surfaces,” Phys. Rev. B 15, 2371–2383 (1977).

[CrossRef]

F. G. Bass, I. M. Fuks, Wave Scattering from Statistically Rough Surfaces (Pergamon, Oxford, 1979).

P. Beckmann, A. Spizzichino, The Scattering of Electromagnetic Waves from Rough Surfaces (Macmillan, New York, 1963).

G. S. Brown, “A comparison of approximate theories for scattering from rough surfaces,” Wave Motion 7, 195–205 (1985).

[CrossRef]

J. A. de Santo, G. S. Brown, “Analytical techniques for multiple scattering from rough surfaces,” in Progress in Optics XXIII, E. Wolf, ed. (North-Holland, Amsterdam, 1986), pp. 3–62.

N. García, N. Cabrera, “New methods for solving the scattering of waves from a periodic hard surface: solutions and numerical comparisons with the various formalisms,” Phys. Rev. B 18, 576–589 (1978).

[CrossRef]

N. García, J. Ibañez, J. Solana, N. Cabrera, “On the ‘quantum rainbow’ in surface scattering,” Solid State Commun. 20, 1159–1163 (1976).

[CrossRef]

R. Petit, M. Cadilhac, “Sur la diffraction d’une onde plane par un réseau infinement conducteur. Note,” C. R. Acad. Sci. B 262, 468–471 (1966).

P. Tran, V. Celli, “Monte Carlo calculations of backscattering enhancement for a randomly rough grating,” J. Opt. Soc. Am. A 5, 1635–1637 (1988).

[CrossRef]

V. Celli, A. A. Maradudin, A. M. Marvin, A. R. McGurn, “Some aspects of light scattering from a randomly rough metal surface,” J. Opt. Soc. Am. A 2, 2225–2239 (1985).

[CrossRef]

N. García, V. Celli, M. Nieto-Vesperinas, “Exact multiple scattering of waves from random rough surfaces,” Opt. Commun. 30, 279–281 (1979).

[CrossRef]

F. Toigo, A. Marvin, V. Celli, N. R. Hill, “Optical properties of rough surfaces: general theory and the small roughness limit,” Phys. Rev. B 15, 5618–5626 (1977).

[CrossRef]

M. F. Chen, A. K. Fung, “A numerical study of the regions of validity of the Kirchhoff and small-perturbation rough surface scattering models,” Radio Sci. 23, 163–170 (1988).

[CrossRef]

J. A. de Santo, G. S. Brown, “Analytical techniques for multiple scattering from rough surfaces,” in Progress in Optics XXIII, E. Wolf, ed. (North-Holland, Amsterdam, 1986), pp. 3–62.

C. Eftimiu, G. V. Welland, “The use of Padé approximants in rough surface scattering,” IEEE Trans. Antennas Propag. AP-35, 721–727 (1987).

[CrossRef]

A. Erdélyi, Asymptotic Expansions (Dover, New York, 1956), p. 11.

P. M. Morse, H. Feshbach, Methods of Theoretical Physics (McGraw-Hill, New York, 1953), Vol. 1, p. 811.

F. G. Bass, I. M. Fuks, Wave Scattering from Statistically Rough Surfaces (Pergamon, Oxford, 1979).

M. F. Chen, A. K. Fung, “A numerical study of the regions of validity of the Kirchhoff and small-perturbation rough surface scattering models,” Radio Sci. 23, 163–170 (1988).

[CrossRef]

N. García, E. Stoll, “Monte Carlo calculation for electromagnetic-wave scattering from random rough surfaces,” Phys. Rev. Lett. 52, 1798–1801 (1984).

[CrossRef]

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

[CrossRef]

N. García, V. Celli, M. Nieto-Vesperinas, “Exact multiple scattering of waves from random rough surfaces,” Opt. Commun. 30, 279–281 (1979).

[CrossRef]

N. García, N. Cabrera, “New methods for solving the scattering of waves from a periodic hard surface: solutions and numerical comparisons with the various formalisms,” Phys. Rev. B 18, 576–589 (1978).

[CrossRef]

N. García, “The scattering of He atoms from a hard corrugated surface model using the GR method. I.” J. Chem. Phys. 67, 897–916 (1977).

[CrossRef]

N. García, J. Ibañez, J. Solana, N. Cabrera, “On the ‘quantum rainbow’ in surface scattering,” Solid State Commun. 20, 1159–1163 (1976).

[CrossRef]

F. Toigo, A. Marvin, V. Celli, N. R. Hill, “Optical properties of rough surfaces: general theory and the small roughness limit,” Phys. Rev. B 15, 5618–5626 (1977).

[CrossRef]

D. Holliday, “Resolution of a controversy surrounding the Kirchhoff approach and the small perturbation method in rough surface scattering theory,” IEEE Trans. Antennas Propag. AP-35, 120–122 (1987).

[CrossRef]

N. García, J. Ibañez, J. Solana, N. Cabrera, “On the ‘quantum rainbow’ in surface scattering,” Solid State Commun. 20, 1159–1163 (1976).

[CrossRef]

E. I. Thorsos, D. R. Jackson, “The validity of the pertubative approximation for rough surface scattering using a Gaussian roughness spectrum,” J. Acoust. Soc. Am. 86, 261–277 (1989).

[CrossRef]

M. G. Kendall, A. Stuart, The Advanced Theory of Statistics (Hafner, New York, 1963).

J. A. Kong, Electromagnetic Wave Theory (Wiley, New York, 1986), p. 307.

J. C. Leader, “The relationship between the Kirchhoff approach and small perturbation analysis in rough surface scattering theory,” IEEE Trans. Antennas Propag. AP-19, 786–788 (1981).

G. R. Valenzuela, J. W. Wright, J. C. Leader, “Comments on the relationship between the Kirchhoff approach and small perturbation analysis in rough surface scattering theory,” IEEE Trans. Antennas Propag. AP-20, 536–539 (1972).

[CrossRef]

A. A. Maradudin, E. R. Méndez, T. Michel, “Backscattering effects in the elastic scattering of p-polarized light from a large-amplitude random metallic grating,” Opt. Lett. 14, 151–153 (1989).

[CrossRef]
[PubMed]

V. Celli, A. A. Maradudin, A. M. Marvin, A. R. McGurn, “Some aspects of light scattering from a randomly rough metal surface,” J. Opt. Soc. Am. A 2, 2225–2239 (1985).

[CrossRef]

J. Shen, A. A. Maradudin, “Multiple scattering of waves from random rough surfaces,” Phys. Rev. B 22, 4234–4240 (1980).

[CrossRef]

F. Toigo, A. Marvin, V. Celli, N. R. Hill, “Optical properties of rough surfaces: general theory and the small roughness limit,” Phys. Rev. B 15, 5618–5626 (1977).

[CrossRef]

J. P. Rossi, D. Maystre, “Rigorous numerical study of speckle patterns for two dimensional, random microrough surfaces,” Opt. Eng. 25, 613–617 (1986).

[CrossRef]

R. F. Millar, “The Rayleigh hypothesis and a related least-squares solution to scattering problems for periodic surfaces and other scatterers,” Radio Sci. 8, 785–796 (1973).

[CrossRef]

R. F. Millar, “On the Rayleigh assumption in scattering by a periodic surface. II,” Proc. Cambridge Philos. Soc. 69, 217–224 (1971).

[CrossRef]

R. F. Millar, “On the Rayleigh assumption in scattering by a periodic surface,” Proc. Cambridge Philos. Soc. 65, 773–791 (1969).

[CrossRef]

P. M. Morse, H. Feshbach, Methods of Theoretical Physics (McGraw-Hill, New York, 1953), Vol. 1, p. 811.

J. M. Soto-Crespo, M. Nieto-Vesperinas, “Electromagnetic scattering from very rough random surfaces and deep reflection gratings,” J. Opt. Soc. Am. A 6, 367–384 (1989).

[CrossRef]

M. Nieto-Vesperinas, J. M. Soto-Crespo, “Monte Carlo simulations for scattering of electromagnetic waves from perfectly conductive random rough surfaces,” Opt. Lett. 12, 979–981 (1987).

[CrossRef]
[PubMed]

M. Nieto-Vesperinas, “Radiometry of rough surfaces,” Opt. Acta 29, 961–971 (1982).

[CrossRef]

M. Nieto-Vesperinas, “Depolarization of EM waves scattered from slightly rough random surfaces: a study by means of the extinction theorem,” J. Opt. Soc. Am. 72, 539–547 (1982).

[CrossRef]

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

[CrossRef]

N. García, V. Celli, M. Nieto-Vesperinas, “Exact multiple scattering of waves from random rough surfaces,” Opt. Commun. 30, 279–281 (1979).

[CrossRef]

R. Petit, M. Cadilhac, “Sur la diffraction d’une onde plane par un réseau infinement conducteur. Note,” C. R. Acad. Sci. B 262, 468–471 (1966).

H. Raether, Surface Plasmons (Springer-Verlag, Berlin, 1988).

S. O. Rice, “Reflection of electromagnetic waves from slightly rough surfaces,” Commun. Pure Appl. Math. 4, 351–378 (1951).

[CrossRef]

J. P. Rossi, D. Maystre, “Rigorous numerical study of speckle patterns for two dimensional, random microrough surfaces,” Opt. Eng. 25, 613–617 (1986).

[CrossRef]

J. Shen, A. A. Maradudin, “Multiple scattering of waves from random rough surfaces,” Phys. Rev. B 22, 4234–4240 (1980).

[CrossRef]

N. García, J. Ibañez, J. Solana, N. Cabrera, “On the ‘quantum rainbow’ in surface scattering,” Solid State Commun. 20, 1159–1163 (1976).

[CrossRef]

P. Beckmann, A. Spizzichino, The Scattering of Electromagnetic Waves from Rough Surfaces (Macmillan, New York, 1963).

N. García, E. Stoll, “Monte Carlo calculation for electromagnetic-wave scattering from random rough surfaces,” Phys. Rev. Lett. 52, 1798–1801 (1984).

[CrossRef]

M. G. Kendall, A. Stuart, The Advanced Theory of Statistics (Hafner, New York, 1963).

E. I. Thorsos, D. R. Jackson, “The validity of the pertubative approximation for rough surface scattering using a Gaussian roughness spectrum,” J. Acoust. Soc. Am. 86, 261–277 (1989).

[CrossRef]

E. I. Thorsos, “The validity of the Kirchhoff approximation for rough surface scattering using a Gaussian roughness spectrum,” J. Acoust. Soc. Am. 83, 78–92 (1988).

[CrossRef]

F. Toigo, A. Marvin, V. Celli, N. R. Hill, “Optical properties of rough surfaces: general theory and the small roughness limit,” Phys. Rev. B 15, 5618–5626 (1977).

[CrossRef]

J. L. Urestky, “The scattering of plane waves from periodic surfaces,” Ann. Phys. (NY) 33, 400–427 (1965).

[CrossRef]

G. R. Valenzuela, J. W. Wright, J. C. Leader, “Comments on the relationship between the Kirchhoff approach and small perturbation analysis in rough surface scattering theory,” IEEE Trans. Antennas Propag. AP-20, 536–539 (1972).

[CrossRef]

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

[CrossRef]

E. T. Whittaker, G. N. Watson, A Course of Modern Analysis (Cambridge U. Press, London, 1973), pp. 150–159.

C. Eftimiu, G. V. Welland, “The use of Padé approximants in rough surface scattering,” IEEE Trans. Antennas Propag. AP-35, 721–727 (1987).

[CrossRef]

E. T. Whittaker, G. N. Watson, A Course of Modern Analysis (Cambridge U. Press, London, 1973), pp. 150–159.

A. Wirgin, “Scattering from sinusoidal gratings: an evaluation of the Kirchhoff approximation,” J. Opt.Soc. Am. 73, 1028–1041 (1983).

[CrossRef]

A. Wirgin, “On Rayleigh’s theory of sinusoidal gratings,” Opt. Acta 27, 1671–1692 (1980).

[CrossRef]

G. R. Valenzuela, J. W. Wright, J. C. Leader, “Comments on the relationship between the Kirchhoff approach and small perturbation analysis in rough surface scattering theory,” IEEE Trans. Antennas Propag. AP-20, 536–539 (1972).

[CrossRef]

J. L. Urestky, “The scattering of plane waves from periodic surfaces,” Ann. Phys. (NY) 33, 400–427 (1965).

[CrossRef]

R. Petit, M. Cadilhac, “Sur la diffraction d’une onde plane par un réseau infinement conducteur. Note,” C. R. Acad. Sci. B 262, 468–471 (1966).

S. O. Rice, “Reflection of electromagnetic waves from slightly rough surfaces,” Commun. Pure Appl. Math. 4, 351–378 (1951).

[CrossRef]

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

[CrossRef]

C. Eftimiu, G. V. Welland, “The use of Padé approximants in rough surface scattering,” IEEE Trans. Antennas Propag. AP-35, 721–727 (1987).

[CrossRef]

J. C. Leader, “The relationship between the Kirchhoff approach and small perturbation analysis in rough surface scattering theory,” IEEE Trans. Antennas Propag. AP-19, 786–788 (1981).

G. R. Valenzuela, J. W. Wright, J. C. Leader, “Comments on the relationship between the Kirchhoff approach and small perturbation analysis in rough surface scattering theory,” IEEE Trans. Antennas Propag. AP-20, 536–539 (1972).

[CrossRef]

D. Holliday, “Resolution of a controversy surrounding the Kirchhoff approach and the small perturbation method in rough surface scattering theory,” IEEE Trans. Antennas Propag. AP-35, 120–122 (1987).

[CrossRef]

E. I. Thorsos, D. R. Jackson, “The validity of the pertubative approximation for rough surface scattering using a Gaussian roughness spectrum,” J. Acoust. Soc. Am. 86, 261–277 (1989).

[CrossRef]

E. I. Thorsos, “The validity of the Kirchhoff approximation for rough surface scattering using a Gaussian roughness spectrum,” J. Acoust. Soc. Am. 83, 78–92 (1988).

[CrossRef]

N. García, “The scattering of He atoms from a hard corrugated surface model using the GR method. I.” J. Chem. Phys. 67, 897–916 (1977).

[CrossRef]

V. Celli, A. A. Maradudin, A. M. Marvin, A. R. McGurn, “Some aspects of light scattering from a randomly rough metal surface,” J. Opt. Soc. Am. A 2, 2225–2239 (1985).

[CrossRef]

D. P. Winebrener, A. Ishimaru, “Application of the phase-perturbation technique to randomly rough surfaces,” J. Opt. Soc. Am. A 2, 2285–2293 (1985).

[CrossRef]

P. Tran, V. Celli, “Monte Carlo calculations of backscattering enhancement for a randomly rough grating,” J. Opt. Soc. Am. A 5, 1635–1637 (1988).

[CrossRef]

J. M. Soto-Crespo, M. Nieto-Vesperinas, “Electromagnetic scattering from very rough random surfaces and deep reflection gratings,” J. Opt. Soc. Am. A 6, 367–384 (1989).

[CrossRef]

A. Wirgin, “Scattering from sinusoidal gratings: an evaluation of the Kirchhoff approximation,” J. Opt.Soc. Am. 73, 1028–1041 (1983).

[CrossRef]

M. Nieto-Vesperinas, “Radiometry of rough surfaces,” Opt. Acta 29, 961–971 (1982).

[CrossRef]

A. Wirgin, “On Rayleigh’s theory of sinusoidal gratings,” Opt. Acta 27, 1671–1692 (1980).

[CrossRef]

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

[CrossRef]

N. García, V. Celli, M. Nieto-Vesperinas, “Exact multiple scattering of waves from random rough surfaces,” Opt. Commun. 30, 279–281 (1979).

[CrossRef]

J. P. Rossi, D. Maystre, “Rigorous numerical study of speckle patterns for two dimensional, random microrough surfaces,” Opt. Eng. 25, 613–617 (1986).

[CrossRef]

N. García, N. Cabrera, “New methods for solving the scattering of waves from a periodic hard surface: solutions and numerical comparisons with the various formalisms,” Phys. Rev. B 18, 576–589 (1978).

[CrossRef]

G. S. Agarwal, “Interaction of electromagnetic waves at rough dielectric surfaces,” Phys. Rev. B 15, 2371–2383 (1977).

[CrossRef]

F. Toigo, A. Marvin, V. Celli, N. R. Hill, “Optical properties of rough surfaces: general theory and the small roughness limit,” Phys. Rev. B 15, 5618–5626 (1977).

[CrossRef]

J. Shen, A. A. Maradudin, “Multiple scattering of waves from random rough surfaces,” Phys. Rev. B 22, 4234–4240 (1980).

[CrossRef]

N. García, E. Stoll, “Monte Carlo calculation for electromagnetic-wave scattering from random rough surfaces,” Phys. Rev. Lett. 52, 1798–1801 (1984).

[CrossRef]

R. F. Millar, “On the Rayleigh assumption in scattering by a periodic surface,” Proc. Cambridge Philos. Soc. 65, 773–791 (1969).

[CrossRef]

R. F. Millar, “On the Rayleigh assumption in scattering by a periodic surface. II,” Proc. Cambridge Philos. Soc. 69, 217–224 (1971).

[CrossRef]

R. F. Millar, “The Rayleigh hypothesis and a related least-squares solution to scattering problems for periodic surfaces and other scatterers,” Radio Sci. 8, 785–796 (1973).

[CrossRef]

M. F. Chen, A. K. Fung, “A numerical study of the regions of validity of the Kirchhoff and small-perturbation rough surface scattering models,” Radio Sci. 23, 163–170 (1988).

[CrossRef]

D. P. Winebrener, A. Ishimaru, “Investigation of a surface field phase-perturbation technique for scattering from rough surfaces,” Radio. Sci. 20, 161–170 (1985).

[CrossRef]

N. García, J. Ibañez, J. Solana, N. Cabrera, “On the ‘quantum rainbow’ in surface scattering,” Solid State Commun. 20, 1159–1163 (1976).

[CrossRef]

G. S. Brown, “A comparison of approximate theories for scattering from rough surfaces,” Wave Motion 7, 195–205 (1985).

[CrossRef]

J. A. de Santo, G. S. Brown, “Analytical techniques for multiple scattering from rough surfaces,” in Progress in Optics XXIII, E. Wolf, ed. (North-Holland, Amsterdam, 1986), pp. 3–62.

P. Beckmann, A. Spizzichino, The Scattering of Electromagnetic Waves from Rough Surfaces (Macmillan, New York, 1963).

F. G. Bass, I. M. Fuks, Wave Scattering from Statistically Rough Surfaces (Pergamon, Oxford, 1979).

M. G. Kendall, A. Stuart, The Advanced Theory of Statistics (Hafner, New York, 1963).

P. M. Morse, H. Feshbach, Methods of Theoretical Physics (McGraw-Hill, New York, 1953), Vol. 1, p. 811.

V. M. Agranovich, D. L. Mills, eds., Surface Polaritons (North-Holland, Amsterdam, 1982).

H. Raether, Surface Plasmons (Springer-Verlag, Berlin, 1988).

A. Erdélyi, Asymptotic Expansions (Dover, New York, 1956), p. 11.

E. T. Whittaker, G. N. Watson, A Course of Modern Analysis (Cambridge U. Press, London, 1973), pp. 150–159.

J. A. Kong, Electromagnetic Wave Theory (Wiley, New York, 1986), p. 307.