Vol. 100
Latest Volume
All Volumes
PIERM 114 [2022] PIERM 113 [2022] PIERM 112 [2022] PIERM 111 [2022] PIERM 110 [2022] PIERM 109 [2022] PIERM 108 [2022] PIERM 107 [2022] PIERM 106 [2021] PIERM 105 [2021] PIERM 104 [2021] PIERM 103 [2021] PIERM 102 [2021] PIERM 101 [2021] PIERM 100 [2021] PIERM 99 [2021] PIERM 98 [2020] PIERM 97 [2020] PIERM 96 [2020] PIERM 95 [2020] PIERM 94 [2020] PIERM 93 [2020] PIERM 92 [2020] PIERM 91 [2020] PIERM 90 [2020] PIERM 89 [2020] PIERM 88 [2020] PIERM 87 [2019] PIERM 86 [2019] PIERM 85 [2019] PIERM 84 [2019] PIERM 83 [2019] PIERM 82 [2019] PIERM 81 [2019] PIERM 80 [2019] PIERM 79 [2019] PIERM 78 [2019] PIERM 77 [2019] PIERM 76 [2018] PIERM 75 [2018] PIERM 74 [2018] PIERM 73 [2018] PIERM 72 [2018] PIERM 71 [2018] PIERM 70 [2018] PIERM 69 [2018] PIERM 68 [2018] PIERM 67 [2018] PIERM 66 [2018] PIERM 65 [2018] PIERM 64 [2018] PIERM 63 [2018] PIERM 62 [2017] PIERM 61 [2017] PIERM 60 [2017] PIERM 59 [2017] PIERM 58 [2017] PIERM 57 [2017] PIERM 56 [2017] PIERM 55 [2017] PIERM 54 [2017] PIERM 53 [2017] PIERM 52 [2016] PIERM 51 [2016] PIERM 50 [2016] PIERM 49 [2016] PIERM 48 [2016] PIERM 47 [2016] PIERM 46 [2016] PIERM 45 [2016] PIERM 44 [2015] PIERM 43 [2015] PIERM 42 [2015] PIERM 41 [2015] PIERM 40 [2014] PIERM 39 [2014] PIERM 38 [2014] PIERM 37 [2014] PIERM 36 [2014] PIERM 35 [2014] PIERM 34 [2014] PIERM 33 [2013] PIERM 32 [2013] PIERM 31 [2013] PIERM 30 [2013] PIERM 29 [2013] PIERM 28 [2013] PIERM 27 [2012] PIERM 26 [2012] PIERM 25 [2012] PIERM 24 [2012] PIERM 23 [2012] PIERM 22 [2012] PIERM 21 [2011] PIERM 20 [2011] PIERM 19 [2011] PIERM 18 [2011] PIERM 17 [2011] PIERM 16 [2011] PIERM 14 [2010] PIERM 13 [2010] PIERM 12 [2010] PIERM 11 [2010] PIERM 10 [2009] PIERM 9 [2009] PIERM 8 [2009] PIERM 7 [2009] PIERM 6 [2009] PIERM 5 [2008] PIERM 4 [2008] PIERM 3 [2008] PIERM 2 [2008] PIERM 1 [2008]
2021-01-29
Random Scattering by Rough Surfaces with Spatially Varying Impedance
By
Progress In Electromagnetics Research M, Vol. 100, 237-245, 2021
Abstract
A method is given for evaluating electromagnetic scattering by an irregular surface with spatially-varying impedance. This uses an operator expansion with respect to impedance variation and allows examination of its effects and the resulting modification of the field scattered by the rough surface. For a fixed rough surface and randomly varying impedance, expressions are derived for the scattered field itself, and for the coherent field with respect to impedance variation for both flat and rough surfaces in the form of effective impedance conditions.
Citation
Narinder Singh Basra Mark Spivack Orsola Rath Spivack , "Random Scattering by Rough Surfaces with Spatially Varying Impedance," Progress In Electromagnetics Research M, Vol. 100, 237-245, 2021.
doi:10.2528/PIERM20121902
http://www.jpier.org/PIERM/pier.php?paper=20121902
References

1. Dragna, D. and P. Blanc-Benon, "Sound propagation over the ground with a random spatially-varying surface admittance," The Journal of the Acoustical Society of America, Vol. 142, No. 4, 2058-2072, 2017.
doi:10.1121/1.5006180

2. Ostashev, V. E., D. Keith Wilson, and S. N. Vecherin, "Effect of randomly varying impedance on the interference of the direct and ground-reflected waves," The Journal of the Acoustical Society of America, Vol. 130, No. 4, 1844-1850, 2011.
doi:10.1121/1.3624817

3. Sarabandi, K. and T. Chiu, "Electromagnetic scattering from slightly rough surfaces with inhomogeneous dielectric profiles," IEEE Transactions on Antennas and Propagation, Vol. 45, No. 9, 1419-1430, 1997.
doi:10.1109/8.623132

4. Hatziioannou, Y., "Scattering of an electromagnetic wave by a conducting surface," Journal of Modern Optics, Vol. 46, No. 1, 35-47, 1999.
doi:10.1080/09500349908231253

5. Giovannini, H., M. Saillard, and A. Sentenac, "Numerical study of scattering from rough inhomogeneous films," JOSA A, Vol. 15, No. 5, 1182-1191, 1998.
doi:10.1364/JOSAA.15.001182

6. Guérin, C.-A. and A. Sentenac, "Second-order perturbation theory for scattering from heterogeneous rough surfaces," JOSA A, Vol. 21, No. 7, 1251-1260, 2004.
doi:10.1364/JOSAA.21.001251

7. Depine, R. A., "Backscattering enhancement of light and multiple scattering of surface waves at a randomly varying impedance plane," JOSA A, Vol. 9, No. 4, 609-618, 1992.
doi:10.1364/JOSAA.9.000609

8. Brudny, V. L. and R. A. Depine, "Theoretical study of enhanced backscattering from random surfaces," Optik, Vol. 87, No. 4, 155-158, 1991.

9. Blumberg, D. G., V. Freilikher, I. Fuks, Y. Kaganovskii, A. A. Maradudin, and M. Rosenbluh, "Effects of roughness on the retroreflection from dielectric layers," Waves in Random Media, Vol. 12, No. 3, 279-292, 2002.
doi:10.1088/0959-7174/12/3/302

10. Brown, G. S., "Special issue on low-grazing-angle backscatter from rough surfaces," IEEE Transactions on Antennas and Propagation, Vol. 46, No. 1, 1-2, 1998.
doi:10.1109/TAP.1998.655445

11. Hatziioannou, Y. and M. Spivack, "Electromagnetic scattering by refractive index variations over a rough conducting surface," Journal of Modern Optics, Vol. 48, No. 7, 1151-1160, 2001.
doi:10.1080/09500340108231759

12. Li, E. S. and K. Sarabandi, "Low grazing incidence millimeter-wave scattering models and measurements for various road surfaces," IEEE Transactions on Antennas and Propagation, Vol. 47, No. 5, 851-861, 1999.
doi:10.1109/8.774140

13. Ogilvy, J. A. and Institute of Physics (UK), Theory of Wave Scattering from Random Rough Surfaces, CRC Press, 1991.

14. Voronovich, A. G., Wave Scattering from Rough Surfaces, Vol. 17, Springer Science & Business Media, 2013.

15. Watson, J. G. and J. B. Keller, "Reflection, scattering, and absorption of acoustic waves by rough surfaces," The Journal of the Acoustical Society of America, Vol. 74, No. 6, 1887-1894, 1983.
doi:10.1121/1.390236

16. Basra, N. S., "Wave scattering by rough surfaces with varying impedances,", PhD thesis, University of Cambridge, 2003.

17. DeSanto, J. A., "Exact boundary integral equations for scattering of scalar waves from infinite rough interfaces," Wave Motion, Vol. 47, No. 3, 139-145, 2010.
doi:10.1016/j.wavemoti.2009.10.003

18. Kapp, D. A. and G. S. Brown, "A new numerical method for rough-surface scattering calculations," IEEE Transactions on Antennas and Propagation, Vol. 44, No. 5, 711, 1996.
doi:10.1109/8.496258

19. Spivack, M., "Moments of wave scattering by a rough surface," The Journal of the Acoustical Society of America, Vol. 88, No. 5, 2361-2366, 1990.
doi:10.1121/1.400078

20. Spivack, M., A. Keen, J. Ogilvy, and C. Sillence, "Validation of left-right method for scattering by a rough surface," Journal of Modern Optics, Vol. 48, No. 6, 1021-1033, 2001.

21. Brennan, C., P. Cullen, and M. Condon, "A novel iterative solution of the three dimensional electric field integral equation," IEEE Transactions on Antennas and Propagation, Vol. 52, No. 10, 2781-2785, 2004.
doi:10.1109/TAP.2004.834405