Vol. 6
Latest Volume
All Volumes
PIERB 97 [2022] PIERB 96 [2022] PIERB 95 [2022] PIERB 94 [2021] PIERB 93 [2021] PIERB 92 [2021] PIERB 91 [2021] PIERB 90 [2021] PIERB 89 [2020] PIERB 88 [2020] PIERB 87 [2020] PIERB 86 [2020] PIERB 85 [2019] PIERB 84 [2019] PIERB 83 [2019] PIERB 82 [2018] PIERB 81 [2018] PIERB 80 [2018] PIERB 79 [2017] PIERB 78 [2017] PIERB 77 [2017] PIERB 76 [2017] PIERB 75 [2017] PIERB 74 [2017] PIERB 73 [2017] PIERB 72 [2017] PIERB 71 [2016] PIERB 70 [2016] PIERB 69 [2016] PIERB 68 [2016] PIERB 67 [2016] PIERB 66 [2016] PIERB 65 [2016] PIERB 64 [2015] PIERB 63 [2015] PIERB 62 [2015] PIERB 61 [2014] PIERB 60 [2014] PIERB 59 [2014] PIERB 58 [2014] PIERB 57 [2014] PIERB 56 [2013] PIERB 55 [2013] PIERB 54 [2013] PIERB 53 [2013] PIERB 52 [2013] PIERB 51 [2013] PIERB 50 [2013] PIERB 49 [2013] PIERB 48 [2013] PIERB 47 [2013] PIERB 46 [2013] PIERB 45 [2012] PIERB 44 [2012] PIERB 43 [2012] PIERB 42 [2012] PIERB 41 [2012] PIERB 40 [2012] PIERB 39 [2012] PIERB 38 [2012] PIERB 37 [2012] PIERB 36 [2012] PIERB 35 [2011] PIERB 34 [2011] PIERB 33 [2011] PIERB 32 [2011] PIERB 31 [2011] PIERB 30 [2011] PIERB 29 [2011] PIERB 28 [2011] PIERB 27 [2011] PIERB 26 [2010] PIERB 25 [2010] PIERB 24 [2010] PIERB 23 [2010] PIERB 22 [2010] PIERB 21 [2010] PIERB 20 [2010] PIERB 19 [2010] PIERB 18 [2009] PIERB 17 [2009] PIERB 16 [2009] PIERB 15 [2009] PIERB 14 [2009] PIERB 13 [2009] PIERB 12 [2009] PIERB 11 [2009] PIERB 10 [2008] PIERB 9 [2008] PIERB 8 [2008] PIERB 7 [2008] PIERB 6 [2008] PIERB 5 [2008] PIERB 4 [2008] PIERB 3 [2008] PIERB 2 [2008] PIERB 1 [2008]
2008-04-03
Electromagnetic Pulse Propagation Over Nonuniform Earth Surface: Numerical Simulation
By
Progress In Electromagnetics Research B, Vol. 6, 37-64, 2008
Abstract
Computational aspects of EM pulse propagation along the nonuniform earth surface are considered. For ultrawide-band pulses without carrier, the exact wave equation in a narrow vicinity of the wave front is reduced to a time-domain version of the Leontovich- Fock parabolic equation. To solve it by finite differences, we introduce a time-domain analog of the impedance BC and a nonlocal BC of transparency. Numerical examples are given to demonstrate the influence of soil conductivity on the received pulse waveform. For a high-frequency modulated EM pulse, we develop an asymptotic approach based on the ray structure of the monochromatic wave field calculated at the carrier frequency. As an example, a problem of target altitude determination from overland radar data is considered.
Citation
Alexei Popov Vladimir Kopeikin , "Electromagnetic Pulse Propagation Over Nonuniform Earth Surface: Numerical Simulation," Progress In Electromagnetics Research B, Vol. 6, 37-64, 2008.
doi:10.2528/PIERB08031102
http://www.jpier.org/PIERB/pier.php?paper=08031102
References

1. Leontovich, M. A., "A new method to solve problems of EM wave propagation over the earth surface," USSR Academy of Sciences Trans., Physics Series, Vol. 8, No. 1, 16-22, 1944 (in Russian).

2. Leontovich, M. A. and V. A. Fock, "Solution of the problem of electromagnetic wave propagation along the Earth's surface by the method of parabolic equation," J. Phus. USSR, Vol. 10, 13-23, 1946.

3. Malyuzhinets, G. D., "Progress in understanding diffraction phenomena," Soviet. Phys. Uspekhi, Vol. 69, 321-334, 1959.

4. Babic, V. M. and V. S. Buldyrev, Short-Wavelength Diffraction Theory: Asymptotic Methods, Springer-Verlag, Berlin, 1990.

5. Lee, D., A. D. Pierce, and E. C. Shang, "Parabolic equation development in the twentieth century," J. Comput. Acoustics, Vol. 8, No. 4, 527-637, 2000.

6. Vainstein, L. A., Open Resonators and open Waveguides, Soviet Radio, Moscow, 1966 (in Russian).

7. Feit, M. D. and J. A. Fleck Jr., "Light propagation in graded-index fibers," Appl. Optics, Vol. 17, 3990-3998, 1978.

8. Kopylov, Yu. V., A. V. Popov, and A. V. Vinogradov, "Application of the parabolic wave equation to X-ray diffraction optics," Optics Communications, Vol. 118, 619-636, 1995.
doi:10.1016/0030-4018(95)00295-J

9. Malyuzhinets, G. D., A. V. Popov, and Yu. N. Cherkashin, 3rd All-Union Symposium on Diffraction of Waves, Academy of Sciences, Moscow, 1964.

10. Tappert, F. D., The Parabolic Approximation Method. Lecture Notes in Physics, Vol. 70, 224-287, Springer-Verlag, New York, 1977.

11. Leontovich, M. A., "Investigations on Radiowave Propagation," Academy of Sciences, Part 2, 5-12, 1948 (in Russian).

12. Fock, V. A., Electromagnetic Diffraction and Propagation Problems, Pergamon Press, 1965.

13. Claerbout, G. F., Fundamentals of Geophysical Data Processing with Applications to Petroleum Prospecting, McGraw-Hill, New York, 1976.

14. Popov, A. V. and S. A. Hosiosky, "On a generalized parabolic equation of diffraction theory," J. Comp. Math. and Math. Phys., Vol. 17, No. 2, 527-533, 1977 (in Russian).

15. Polyansky, E. A., "On the relation between solutions of Helmholtz and Schroedinger type equations," J. Comp. Math. Math. Phys., Vol. 2, No. 1, 241-249, 1972 (in Russian).

16. Levy, M. F., "Parabolic equation modelling of propagation over irregular terrain," Electronics Letters, Vol. 26, 1153-1155, 1990.
doi:10.1049/el:19900746

17. Baskakov, V. A. and A. V. Popov, "Implementation of transparent boundaries for numerical solution of the Schroedinger equation," Wave Motion, Vol. 14, No. 1, 123-128, 1991.
doi:10.1016/0165-2125(91)90053-Q

18. Marcus, S. V., "A generalized impedance method for application of the parabolic approximation to underwater acoustics," J. Acoust. Soc. Am., Vol. 89, 391-398, 1991.
doi:10.1121/1.401263

19. Levy, M. F., "Parabolic equation method for electromagnetic wave propagation," IEE Electromagnetic Wave Series, Vol. 45, 2000.

20. Collins, M. D., "The time-domain solution of the wide-angle parabolic equation including the effect of sediment dispersion," J. Acoust. Soc. Am., Vol. 84, No. 6, 2114-2125, 1988.
doi:10.1121/1.397057

21. Vainstein, L. A. and D. E. Vakman, Frequency Discrimination in Oscillation and Wave Theory, Nauka, Moscow, 1983 (in Russian).

22. Heyman, E. and L. B. Felsen, "Gaussian beam and pulsed-beam dynamics: Complex-source and complex-spectrum formulations within and beyond paraxial asymptotics," J. Opt. Soc. Am. A, Vol. 18, No. 7, 1588-1611, 2001.
doi:10.1364/JOSAA.18.001588

23. Zurk, L. M., "Experimental observation and statistics of multipath from terrain with application to overland height finding," IEEE Trans. Antennas Propag., Vol. 47, No. 1, 121-131, 1999.
doi:10.1109/8.753002

24. Popov, A. V., V. V. Kopeikin, N. Y. Zhu, and F. M. Landstorfer, "Modelling EM transient propagation over irregular dispersive boundary," Electronics Letters, Vol. 38, No. 14, 691-692, 2002.
doi:10.1049/el:20020426

25. Popov, A. V., V. V. Kopeikin, and F. M. Landstorfer, "Full-wave simulation of overland radar pulse propagation," FElectronics Letters, Vol. 39, No. 6, 550-552, 2003.
doi:10.1049/el:20030338

26. Popov, A. V. and V. V. Kopeikin, Progress of Modern Radioelectronics, No. 1, 20-35, Radiotechnika, Moscow, 2005 (in Russian).

27. Popov, A. V., "Solution of parabolic equation of diffraction theory by finite difference method," J. Comp. Math. and Math. Phys., Vol. 8, No. 5, 1140-1144, 1968.

28. Popov, A. V., "Accurate modeling of transparent boundaries in quasi-optics," Radio Science, Vol. 31, No. 6, 1781-1790, 1996.
doi:10.1029/96RS02538

29. Babic, V. M., V. S. Buldyrev, and I. A. Molotkov, Space-Time Ray Method. Linear and Nonlinear Waves, SPB University Press, St. Petersburg, 1995 (in Russian).