V. N. Bronnikov and M. M. Kalugin, “Measuring the parameters of vibrations and surface roughness, using the frequency spectrum of the intensity fluctuations of scattered radiation,” J. Opt. Technol. 76(11), 697–701 (2009).

[CrossRef]

M. J. Wang, Z. S. Wu, Y. L. Li, X. A. Zhang, and H. Zhang, “The fourth order moment statistical characteristic of the laser pulse scattering on random rough surface,” Acta. Physica. Sinica. 58(4), 2390–2396 (2009).

W. Zhen-Sen and Z. Geng, “Intensity correlation function of light scattering from a weakly one-dimensional random rough surface,” Chin. Phys. Lett. 26(11), 114208 (2009).

[CrossRef]

Z. S. Xu, J. Wu, Z. S. Wu, and Q. Li, “Solution for the fourth moment equation of waves in random continuum under strong fluctuations: general theory and plane wave solution,” IEEE Trans. Antenn. Propag. 55(6), 1613–1621 (2007).

[CrossRef]

C. Hui, W. Zhensen, and B. Lu, “Infrared laser pulse scattering from randomly rough surfaces,” Int. J. Infrared Millim. Waves 25(8), 1211–1219 (2004).

[CrossRef]

C. T. C. Le, A. Ishimaru, Y. Kuga, and J.-H. Yea, “Angular memory and frequency interferometry for mean height profiling of a rough surface,” IEEE Trans. Geosci. Rem. Sens. 36(1), 61–71 (1998).

[CrossRef]

G. Zhang, L. Tsang, and K. Pak, “Angular correlation function and scattering coefficient of electromagnetic waves scattered by a buried object under a two-dimensional rough surface,” J. Opt. Soc. Am. A 15(12), 2995–3002 (1998).

[CrossRef]

G. Zhang, L. Tsang, and Y. Kuga, “Studies of the angular correlation function of scattering by random rough surfaces with and without a buried object,” IEEE Trans. Geosci. Rem. Sens. 35(2), 444–453 (1997).

[CrossRef]

Y. Kuga, C. T. C. Le, A. Ishimaru, and L. Ailes-Sengers, “Analytical, experimental, and numerical studies of angular memory signatures of waves scattered from one-dimensional rough surfaces,” IEEE Trans. Geosci. Rem. Sens. 34(6), 1300–1307 (1996).

[CrossRef]

C. T. C. Le, Y. Kuga, and A. Ishimaru, “Angular correlation function based on the second-order Kirchhoff approximation and comparison with experiments,” J. Opt. Soc. Am. A 13(5), 1057–1067 (1996).

[CrossRef]

M. E. Knotts, T. R. Michel, and K. A. O’Donnell, “Angular correlation functions of polarized intensities scattered from a one-dimensionally rough surface,” J. Opt. Soc. Am. A 9(10), 1822–1831 (1992).

[CrossRef]

D. J. Schertler and N. George, “Backscattering cross section of a tilted, roughened disk,” J. Opt. Soc. Am. A 9(11), 2056–2066 (1992).

[CrossRef]

W. Zhensen and C. Suomin, “Bistatic scattering by arbitrarily shaped objects with rough surface at optical and infrared frequencies,” Int. J. Infrared Millim. Waves 13(4), 537–549 (1992).

[CrossRef]

T. Michel and K. A. O'Donnell, “Angular correlation functions of amplitudes scattered from a one-dimensional, perfectly conducting rough surface,” J. Opt. Soc. Am. A 9(8), 1374–1384 (1992).

[CrossRef]

Y. Kuga, C. T. C. Le, A. Ishimaru, and L. Ailes-Sengers, “Analytical, experimental, and numerical studies of angular memory signatures of waves scattered from one-dimensional rough surfaces,” IEEE Trans. Geosci. Rem. Sens. 34(6), 1300–1307 (1996).

[CrossRef]

A. Ishimaru, L. Ailes-Sengers, P. Phu, and D. Winebrenner, “Pulse broadening and two-frequency mutual coherence function of the scattered wave from rough surfaces,” Waves Random Media 4(2), 139–148 (1994).

[CrossRef]

W. Zhen-Sen and Z. Geng, “Intensity correlation function of light scattering from a weakly one-dimensional random rough surface,” Chin. Phys. Lett. 26(11), 114208 (2009).

[CrossRef]

D. J. Schertler and N. George, “Backscattering cross section of a roughened sphere,” J. Opt. Soc. Am. A 11(8), 2286–2297 (1994).

[CrossRef]

D. J. Schertler and N. George, “Backscattering cross section of a tilted, roughened disk,” J. Opt. Soc. Am. A 9(11), 2056–2066 (1992).

[CrossRef]

L. G. Shirley and N. George, “Speckle from a cascade of two thin diffusers,” J. Opt. Soc. Am. A 6(6), 765–781 (1989).

[CrossRef]

C. Hui, W. Zhensen, and B. Lu, “Infrared laser pulse scattering from randomly rough surfaces,” Int. J. Infrared Millim. Waves 25(8), 1211–1219 (2004).

[CrossRef]

C. T. C. Le, A. Ishimaru, Y. Kuga, and J.-H. Yea, “Angular memory and frequency interferometry for mean height profiling of a rough surface,” IEEE Trans. Geosci. Rem. Sens. 36(1), 61–71 (1998).

[CrossRef]

C. T. C. Le, Y. Kuga, and A. Ishimaru, “Angular correlation function based on the second-order Kirchhoff approximation and comparison with experiments,” J. Opt. Soc. Am. A 13(5), 1057–1067 (1996).

[CrossRef]

Y. Kuga, C. T. C. Le, A. Ishimaru, and L. Ailes-Sengers, “Analytical, experimental, and numerical studies of angular memory signatures of waves scattered from one-dimensional rough surfaces,” IEEE Trans. Geosci. Rem. Sens. 34(6), 1300–1307 (1996).

[CrossRef]

A. Ishimaru, L. Ailes-Sengers, P. Phu, and D. Winebrenner, “Pulse broadening and two-frequency mutual coherence function of the scattered wave from rough surfaces,” Waves Random Media 4(2), 139–148 (1994).

[CrossRef]

P. Phu, A. Ishimaru, and Y. Kuga, “Controlied milimeter-wave experiments and numerical simulations on the enhanced backscattering from one-dimensional very rough surfaces,” Radio Sci. 28(4), 533–548 (1993).

[CrossRef]

C. T. C. Le, A. Ishimaru, Y. Kuga, and J.-H. Yea, “Angular memory and frequency interferometry for mean height profiling of a rough surface,” IEEE Trans. Geosci. Rem. Sens. 36(1), 61–71 (1998).

[CrossRef]

G. Zhang, L. Tsang, and Y. Kuga, “Studies of the angular correlation function of scattering by random rough surfaces with and without a buried object,” IEEE Trans. Geosci. Rem. Sens. 35(2), 444–453 (1997).

[CrossRef]

C. T. C. Le, Y. Kuga, and A. Ishimaru, “Angular correlation function based on the second-order Kirchhoff approximation and comparison with experiments,” J. Opt. Soc. Am. A 13(5), 1057–1067 (1996).

[CrossRef]

Y. Kuga, C. T. C. Le, A. Ishimaru, and L. Ailes-Sengers, “Analytical, experimental, and numerical studies of angular memory signatures of waves scattered from one-dimensional rough surfaces,” IEEE Trans. Geosci. Rem. Sens. 34(6), 1300–1307 (1996).

[CrossRef]

P. Phu, A. Ishimaru, and Y. Kuga, “Controlied milimeter-wave experiments and numerical simulations on the enhanced backscattering from one-dimensional very rough surfaces,” Radio Sci. 28(4), 533–548 (1993).

[CrossRef]

C. T. C. Le, A. Ishimaru, Y. Kuga, and J.-H. Yea, “Angular memory and frequency interferometry for mean height profiling of a rough surface,” IEEE Trans. Geosci. Rem. Sens. 36(1), 61–71 (1998).

[CrossRef]

C. T. C. Le, Y. Kuga, and A. Ishimaru, “Angular correlation function based on the second-order Kirchhoff approximation and comparison with experiments,” J. Opt. Soc. Am. A 13(5), 1057–1067 (1996).

[CrossRef]

Y. Kuga, C. T. C. Le, A. Ishimaru, and L. Ailes-Sengers, “Analytical, experimental, and numerical studies of angular memory signatures of waves scattered from one-dimensional rough surfaces,” IEEE Trans. Geosci. Rem. Sens. 34(6), 1300–1307 (1996).

[CrossRef]

Z. S. Xu, J. Wu, Z. S. Wu, and Q. Li, “Solution for the fourth moment equation of waves in random continuum under strong fluctuations: general theory and plane wave solution,” IEEE Trans. Antenn. Propag. 55(6), 1613–1621 (2007).

[CrossRef]

M. J. Wang, Z. S. Wu, Y. L. Li, X. A. Zhang, and H. Zhang, “The fourth order moment statistical characteristic of the laser pulse scattering on random rough surface,” Acta. Physica. Sinica. 58(4), 2390–2396 (2009).

C. Hui, W. Zhensen, and B. Lu, “Infrared laser pulse scattering from randomly rough surfaces,” Int. J. Infrared Millim. Waves 25(8), 1211–1219 (2004).

[CrossRef]

A. Ishimaru, L. Ailes-Sengers, P. Phu, and D. Winebrenner, “Pulse broadening and two-frequency mutual coherence function of the scattered wave from rough surfaces,” Waves Random Media 4(2), 139–148 (1994).

[CrossRef]

P. Phu, A. Ishimaru, and Y. Kuga, “Controlied milimeter-wave experiments and numerical simulations on the enhanced backscattering from one-dimensional very rough surfaces,” Radio Sci. 28(4), 533–548 (1993).

[CrossRef]

W. Zhensen and C. Suomin, “Bistatic scattering by arbitrarily shaped objects with rough surface at optical and infrared frequencies,” Int. J. Infrared Millim. Waves 13(4), 537–549 (1992).

[CrossRef]

G. Zhang, L. Tsang, and K. Pak, “Angular correlation function and scattering coefficient of electromagnetic waves scattered by a buried object under a two-dimensional rough surface,” J. Opt. Soc. Am. A 15(12), 2995–3002 (1998).

[CrossRef]

G. Zhang, L. Tsang, and Y. Kuga, “Studies of the angular correlation function of scattering by random rough surfaces with and without a buried object,” IEEE Trans. Geosci. Rem. Sens. 35(2), 444–453 (1997).

[CrossRef]

M. J. Wang, Z. S. Wu, Y. L. Li, X. A. Zhang, and H. Zhang, “The fourth order moment statistical characteristic of the laser pulse scattering on random rough surface,” Acta. Physica. Sinica. 58(4), 2390–2396 (2009).

A. Ishimaru, L. Ailes-Sengers, P. Phu, and D. Winebrenner, “Pulse broadening and two-frequency mutual coherence function of the scattered wave from rough surfaces,” Waves Random Media 4(2), 139–148 (1994).

[CrossRef]

Z. S. Xu, J. Wu, Z. S. Wu, and Q. Li, “Solution for the fourth moment equation of waves in random continuum under strong fluctuations: general theory and plane wave solution,” IEEE Trans. Antenn. Propag. 55(6), 1613–1621 (2007).

[CrossRef]

G. Zhang and Z. S. Wu, “Two-frequency mutual coherence function of scattering from arbitrarily shaped rough objects,” Opt. Express 19(8), 7007–7019 (2011).

[CrossRef]
[PubMed]

M. J. Wang, Z. S. Wu, Y. L. Li, X. A. Zhang, and H. Zhang, “The fourth order moment statistical characteristic of the laser pulse scattering on random rough surface,” Acta. Physica. Sinica. 58(4), 2390–2396 (2009).

Z. S. Xu, J. Wu, Z. S. Wu, and Q. Li, “Solution for the fourth moment equation of waves in random continuum under strong fluctuations: general theory and plane wave solution,” IEEE Trans. Antenn. Propag. 55(6), 1613–1621 (2007).

[CrossRef]

Z. S. Xu, J. Wu, Z. S. Wu, and Q. Li, “Solution for the fourth moment equation of waves in random continuum under strong fluctuations: general theory and plane wave solution,” IEEE Trans. Antenn. Propag. 55(6), 1613–1621 (2007).

[CrossRef]

C. T. C. Le, A. Ishimaru, Y. Kuga, and J.-H. Yea, “Angular memory and frequency interferometry for mean height profiling of a rough surface,” IEEE Trans. Geosci. Rem. Sens. 36(1), 61–71 (1998).

[CrossRef]

G. Zhang and Z. S. Wu, “Two-frequency mutual coherence function of scattering from arbitrarily shaped rough objects,” Opt. Express 19(8), 7007–7019 (2011).

[CrossRef]
[PubMed]

G. Zhang, L. Tsang, and K. Pak, “Angular correlation function and scattering coefficient of electromagnetic waves scattered by a buried object under a two-dimensional rough surface,” J. Opt. Soc. Am. A 15(12), 2995–3002 (1998).

[CrossRef]

G. Zhang, L. Tsang, and Y. Kuga, “Studies of the angular correlation function of scattering by random rough surfaces with and without a buried object,” IEEE Trans. Geosci. Rem. Sens. 35(2), 444–453 (1997).

[CrossRef]

M. J. Wang, Z. S. Wu, Y. L. Li, X. A. Zhang, and H. Zhang, “The fourth order moment statistical characteristic of the laser pulse scattering on random rough surface,” Acta. Physica. Sinica. 58(4), 2390–2396 (2009).

M. J. Wang, Z. S. Wu, Y. L. Li, X. A. Zhang, and H. Zhang, “The fourth order moment statistical characteristic of the laser pulse scattering on random rough surface,” Acta. Physica. Sinica. 58(4), 2390–2396 (2009).

C. Hui, W. Zhensen, and B. Lu, “Infrared laser pulse scattering from randomly rough surfaces,” Int. J. Infrared Millim. Waves 25(8), 1211–1219 (2004).

[CrossRef]

W. Zhensen and C. Suomin, “Bistatic scattering by arbitrarily shaped objects with rough surface at optical and infrared frequencies,” Int. J. Infrared Millim. Waves 13(4), 537–549 (1992).

[CrossRef]

W. Zhen-Sen and Z. Geng, “Intensity correlation function of light scattering from a weakly one-dimensional random rough surface,” Chin. Phys. Lett. 26(11), 114208 (2009).

[CrossRef]

M. J. Wang, Z. S. Wu, Y. L. Li, X. A. Zhang, and H. Zhang, “The fourth order moment statistical characteristic of the laser pulse scattering on random rough surface,” Acta. Physica. Sinica. 58(4), 2390–2396 (2009).

W. Zhen-Sen and Z. Geng, “Intensity correlation function of light scattering from a weakly one-dimensional random rough surface,” Chin. Phys. Lett. 26(11), 114208 (2009).

[CrossRef]

Z. S. Xu, J. Wu, Z. S. Wu, and Q. Li, “Solution for the fourth moment equation of waves in random continuum under strong fluctuations: general theory and plane wave solution,” IEEE Trans. Antenn. Propag. 55(6), 1613–1621 (2007).

[CrossRef]

G. Zhang, L. Tsang, and Y. Kuga, “Studies of the angular correlation function of scattering by random rough surfaces with and without a buried object,” IEEE Trans. Geosci. Rem. Sens. 35(2), 444–453 (1997).

[CrossRef]

Y. Kuga, C. T. C. Le, A. Ishimaru, and L. Ailes-Sengers, “Analytical, experimental, and numerical studies of angular memory signatures of waves scattered from one-dimensional rough surfaces,” IEEE Trans. Geosci. Rem. Sens. 34(6), 1300–1307 (1996).

[CrossRef]

C. T. C. Le, A. Ishimaru, Y. Kuga, and J.-H. Yea, “Angular memory and frequency interferometry for mean height profiling of a rough surface,” IEEE Trans. Geosci. Rem. Sens. 36(1), 61–71 (1998).

[CrossRef]

C. Hui, W. Zhensen, and B. Lu, “Infrared laser pulse scattering from randomly rough surfaces,” Int. J. Infrared Millim. Waves 25(8), 1211–1219 (2004).

[CrossRef]

W. Zhensen and C. Suomin, “Bistatic scattering by arbitrarily shaped objects with rough surface at optical and infrared frequencies,” Int. J. Infrared Millim. Waves 13(4), 537–549 (1992).

[CrossRef]

D. J. Schertler and N. George, “Backscattering cross section of a roughened sphere,” J. Opt. Soc. Am. A 11(8), 2286–2297 (1994).

[CrossRef]

L. G. Shirley and N. George, “Speckle from a cascade of two thin diffusers,” J. Opt. Soc. Am. A 6(6), 765–781 (1989).

[CrossRef]

T. Michel and K. A. O'Donnell, “Angular correlation functions of amplitudes scattered from a one-dimensional, perfectly conducting rough surface,” J. Opt. Soc. Am. A 9(8), 1374–1384 (1992).

[CrossRef]

C. T. C. Le, Y. Kuga, and A. Ishimaru, “Angular correlation function based on the second-order Kirchhoff approximation and comparison with experiments,” J. Opt. Soc. Am. A 13(5), 1057–1067 (1996).

[CrossRef]

M. Nieto-Vesperinas and J. A. Sanchez-Gil, “Intensity angular correlations of light multiply scattered from random rough surfaces,” J. Opt. Soc. Am. A 10(1), 150–157 (1993).

[CrossRef]

M. E. Knotts, T. R. Michel, and K. A. O’Donnell, “Angular correlation functions of polarized intensities scattered from a one-dimensionally rough surface,” J. Opt. Soc. Am. A 9(10), 1822–1831 (1992).

[CrossRef]

D. J. Schertler and N. George, “Backscattering cross section of a tilted, roughened disk,” J. Opt. Soc. Am. A 9(11), 2056–2066 (1992).

[CrossRef]

G. Zhang, L. Tsang, and K. Pak, “Angular correlation function and scattering coefficient of electromagnetic waves scattered by a buried object under a two-dimensional rough surface,” J. Opt. Soc. Am. A 15(12), 2995–3002 (1998).

[CrossRef]

H. C. Jacks and O. Korotkova, “Intensity-intensity fluctuations of stochastic fields produced upon weak scattering,” J. Opt. Soc. Am. A 28(6), 1139–1144 (2011).

[CrossRef]
[PubMed]

P. Phu, A. Ishimaru, and Y. Kuga, “Controlied milimeter-wave experiments and numerical simulations on the enhanced backscattering from one-dimensional very rough surfaces,” Radio Sci. 28(4), 533–548 (1993).

[CrossRef]

A. Ishimaru, L. Ailes-Sengers, P. Phu, and D. Winebrenner, “Pulse broadening and two-frequency mutual coherence function of the scattered wave from rough surfaces,” Waves Random Media 4(2), 139–148 (1994).

[CrossRef]

A. Ishimaru, Wave Propagation and Scattering in Random Media (Academic Press, 1978).

P. Beckmann and A. Spizzichino, The Scattering of Electromagnetic Waves from Rough Surfaces (Pergamon, 1963).

J. S. Gradshteyn and J. M. Ryzhik, Table of Integrals, Series and Products (Academic, 1965).