Vol. 83
Latest Volume
All Volumes
PIERB 105 [2024] PIERB 104 [2024] PIERB 103 [2023] PIERB 102 [2023] PIERB 101 [2023] PIERB 100 [2023] PIERB 99 [2023] PIERB 98 [2023] 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]
2018-12-19
Diffraction at Thick Curved Layers with a Nonuniform Dielectric Permittivity
By
Progress In Electromagnetics Research B, Vol. 83, 1-24, 2019
Abstract
In this paper, we obtain an asymptotic solution for the problem of electromagnetic diffraction at a thick curved dielectric layer with a nonuniform dielectric permittivity. We show that, in the case of thick layers, the main asymptotic approximation already comprises the curvature correction, verify the results by comparison with a solution obtained with the integral equation method, and offer to approximate the piecewise constant dielectric permittivity of a stratified layer with a continuous function.
Citation
Ilya O. Sukharevsky, "Diffraction at Thick Curved Layers with a Nonuniform Dielectric Permittivity," Progress In Electromagnetics Research B, Vol. 83, 1-24, 2019.
doi:10.2528/PIERB18092512
References

1. Fiscus, T. E. and G. P. Tricoles, "Multi-octave thick dielectric radome wall,", U.S. Patent No. 4,725,475, U.S. Patent and Trademark Office, Washington, DC, 1988.

2. Hower, R. V. and S. V. Hoang, "Polyimide foam-containing radomes,", U.S. Patent No. 5.662.293, Sep. 2, 1997.
doi:10.1109/8.309998

3. Glabe, J. R., "Radomes, aircraft and spacecraft including such radomes, and methods of forming radomes,", U.S. Patent No. 8.130.167, Mar. 6, 2012.
doi:10.1049/el:20010945

4. Raring, J. W., D. F. Feezell, and N. Pfister, "Self-aligned multi-dielectric-layer lift off process for laser diode stripes,", U.S. Patent No. 8.143.148, Mar. 27, 2012.

5. Day, T. and D. F. Arnone, "Lenses, optical sources, and their couplings,", U.S. Patent No. 7,796,341, Sep. 14, 2010.
doi:10.2528/PIER10012005

6. Du Castel, F., "Tropospheric radiowave propagation beyond the horizon: International series of monographs in electromagnetic waves," Elsevier, Vol. 8, 2013.
doi:10.1134/S1064226912080128

7. Kaklamani, D. I. and N. K. Uzunoglu, "Scattering from a conductive rectangular plate covered by a thick dielectric layer and excited from a dipole source or a plane wave," IEEE Trans. on Antennas and Propagation, Vol. 42, No. 8, 1065-1076, 1994.
doi:10.1109/LPT.2013.2247392

8. Verma, A. K., et al., "Resonance frequency of rectangular microstrip antenna on thick substrate," Electronics Letters, Vol. 37, No. 23, 1373-1374, 2001.
doi:10.1016/0031-8914(49)90116-0

9. Carpenter, M. P., M. M. Osward, and D. A. Gibbs, "Lens of gradient dielectric constant and methods of production,", U.S. Patent No. 6,433,936, U.S. Patent and Trademark Office, Washington, DC, 2002.
doi:10.1002/cpa.3160040111

10. Chen, F., Q. Shen, and L. Zhang, "Electromagnetic optimal design and preparation of broadband ceramic radome material with graded porous structure," Progress In Electromagnetics Research, Vol. 105, 445-461, 2010.
doi:10.1121/1.1916627

11. Balkhanov, V. K., L. K. Angarkhaeva, Y. B. Bashkuev, and A. G. Gantimurov, "The transmission and reflection coefficients of an electromagnetic wave for a gradient dielectric layer," Journal of Communications Technology and Electronics, Vol. 57, No. 11, 1160-1165, 2012.
doi:10.1063/1.1699779

12. Park, Y. S., S. Seo, P. Gruenberg, and J. H. Lee, "Self-centering effect of a thickness-gradient dielectric of an electrowetting liquid lens," IEEE Photonics Technology Letters, Vol. 25, No. 6, 623-625, 2013.

13. Bremmer, H., "The propagation of electromagnetic waves through a stratified medium and its WKB approximation for oblique incidence," Physica, Vol. 15, No. 7, 593-608, 1949.

14. Bremmer, H., "The WKB approximation as the first term of a geometric-optical series," Comm. Pure Appl. Math., Vol. 4, No. 1, 105-115, 1951.

15. Primakoff, H. and J. B. Keller, "Reflection and transmition of sound by thin curved shells," J. of the Acoustical Society of America, Vol. 19, No. 2, 820-832, 1947.

16. Keller, J. B., "Reflection and transmission of electromagnetic waves by thin curved shells," J. of Appl. Physics, Vol. 21, 896-901, Sept. 1950.

17. Sukharevskii, I. V., "Passage of electromagnetic waves through a radio-transparent layer," Radio Eng. Electron. Phys., Vol. 12, 191-197, 19671967; (transl. Radiotekhn. i Elektronika, Vol. 12, No. 2, 208-215).

18. Sukharevsky, I. O., "Beyond geometrical optics: higher-order diffraction at thin curved dielectric layers," IEEE Trans. Antennas and Propagation, 2018 (accepted for publication).
doi:10.1109/TAP.2014.2331991

19. Gukasov, Yu. G. and I. V. Sukharevskii, "Asymptotic treatment of short-wave radiation of dielectric-coated reflector antenna," Radio Eng. Electron. Phys., No. 5, 784-790, 1963.

20. Kravchenko, A. G. and I. V. Sukharevsky, "Asymptotic solution of one class of short-wave diffraction problems for bodies with big (finite) conductivity," Proc. of V All-Union Symp. on Diffraction and Propagation of Waves, 118-124, 118–124, Leningrad, Publishing House ``Nauka", Jul. 13–17, 1970 (in Russian).

21. Kravchenko, A. G., "On the high-frequency diffraction by good conductors," Radiotekh. Electron., Vol. 18, No. 1, 49-57, 1973 (in Russian).
doi:10.1016/0041-5553(73)90107-9

22. Sommerfeld, A., "Theoretisches uber die Beugung der Rontgenstrahlen," Z. Math. Phys., Vol. 46, 11-96, 1901.

23. Sukharevsky, I. O. and A. Altintas, "Validation of higher-order approximations and boundary conditions for lossy conducting bodies," IEEE Trans. Antennas and Propagation, Vol. 62, No. 9, 4656-4663, 2014.

24. Semenyaka, E. N. and I. V. Sukharevsky, "Diffraction by slightly curved layered structures of big thickness," Proc. of V All-Union Symp. on Diffraction and Propagation of Waves, 118–124, Leningrad, Publishing House ``Nauka", Jul. 13–17, 1970 (in Russian).

25. Semeniaka, Ye. N., "Asymptotic solution of the problem of diffraction of electromagnetic waves from a slightly bent dielectric layer of much greater thickness than the wavelength," Radio Eng. Electron. Phys., Vol. 18, No. 1, 41-49, (transl. from Radiotekh. Electron., 1973..

26. Grinberg, S. I., E. N. Semenyaka, and I. V. Sukharevskii, "Short-wave asymptotic behaviour of Green's function in the problem of diffraction at a plane layer," USSR Comp. Math. and Math. Physics, Vol. 13, No. 3, 170-186, 1973, doi:10.1016/0041-5553(73)90107-9 (transl. from Zh. Vych. Mat. i Mat. Fiz., Vol. 13, No. 3, 670-682, 1973).