2020-09-17
Wiener-Hopf Analysis of Planar Canonical Structures Loaded with Longitudinally Magnetized Plasma Biased Normally to the Extraordinary Wave Propagation: Near and Far Field
By
Progress In Electromagnetics Research B, Vol. 88, 119-149, 2020
Abstract
This work aims at completing the Wiener-Hopf analysis of a canonical problem referring to an extra-ordinary transverse electromagnetic wave propagating within a parallel plane waveguide loaded with magnetized plasma when incident normally at the truncated edge of its upper conductor. The complicated mathematical issues faced herein comes from the non-symmetric Kernel functions involved in the related integral equation. This property puts two challenging issues, first the rarely occurring factorization of non-symmetric Kernels and secondly the handling of unidirectional surface and leaky waves. Although the formulation of the Wiener-Hopf equations was carried out in our previous work, these two challenges were not confronted, since that work has been completed only in regard to the closed-shielded geometry which involves a symmetric Kernel. Thus, the novel contribution of this work refers to completing the analysis of the open geometry by handling the factorization of the related non-symmetric Kernel, to evaluate the radiated field as well as to study the unidirectional waves for their near and far fields.
Citation
Xenophon M. Mitsalas, Theodoros Kaifas, and George Kyriacou, "Wiener-Hopf Analysis of Planar Canonical Structures Loaded with Longitudinally Magnetized Plasma Biased Normally to the Extraordinary Wave Propagation: Near and Far Field," Progress In Electromagnetics Research B, Vol. 88, 119-149, 2020.
doi:10.2528/PIERB20070303
References

1. Hoyaux, M. and P. Gans, "Theorie des oscillations spontanees dans les tubes a vapeur de mercure a cathode chaude," Defense Technical Information Center, 1956.        Google Scholar

2. Chabries, D. M. and D. M. Bolle, "Impulse reflection with arbitrary angle of incidence and polarization from isotropic plasma slab," Radio Science, Vol. 6, No. 12, 1143-1149, 1971.        Google Scholar

3. Bolle, D. M., "Utilization of surface magnetoplasmons in the millimetre wavelength range," IEEE Proc. on Microwaves, Antennas and Propagation, Vol. 140, No. 3, 174-182, 1993.        Google Scholar

4. Oliner, A. A. and T. Tamir, "Backward waves on isotropic slab," J. Appl. Physics, Vol. 33, 231-233, 1962.        Google Scholar

5. Tamir, T. and A. A. Oliner, "The influence of complex waves on the radiation field of a slot-excited plasma layer," IEEE Trans. on Antennas and Propagation, Vol. 10, No. 1, 55-64, Jan. 1962.        Google Scholar

6. Tamir, T. and A. A. Oliner, "The spectrum of electromagnetic waves guided by a plasma layer," IEEE Proc., Vol. 51, 317-331, Feb. 1963.        Google Scholar

7. Angulo, C. and W. Chang, "The launching of surface waves by a parallel plate waveguide," IRE Trans. Antennas and Propagation, Vol. 7, No. 4, 359-368, Oct. 1959.        Google Scholar

8. Bates, C. P. and R. Mittra, "Waveguide excitation of dielectric and plasma slabs," Radio Science, Vol. 3, No. 3, 251-266, Mar. 1968.        Google Scholar

9. Kyriacou, G. A., "Wiener-Hopf analysis of planar canonical structures loaded with longitudinally magnetized plasma biased normally to the extraordinary wave propagation," Progress In Electromagnetics Research B, Vol. 5, 1-34, 2008.        Google Scholar

10. Seshadri, S. R. and W. F. Pickard, "Surface waves on an anisotropic plasma sheath," IEEE Trans. on Microwave Theory and Techniques, Vol. 12, No. 5, 529-541, 1964.        Google Scholar

11. Pathak, P. H. and R. G. Kouyoumjian, "TM surface wave diffraction by a truncated dielectric slab recessed in a perfectly conducting surface," NASA Contractor Report, May 1974.        Google Scholar

12. Johansen, E. L., "The radiation properties of a parallel-plane waveguide in a transversely The radiation properties of a parallel-plane waveguide in a transversely," IEEE Trans. on Microwave Theory and Techniques, Vol. 13, No. 1, 77-83, 1965.        Google Scholar

13. Mitsalas, X. M., A. V. Kudrin, and G. A. Kyriacou, "Analytical study of surface and leaky waves on a grounded magnetized plasma slab," PIERS Proceedings, 1526-1532, Moscow, Russia, Aug. 19-23, 2012.        Google Scholar

14. Mittra, R. and S. W. Lee, Analytical Techniques in the Theory of Guided Waves, The MacMillan Company, New York, 1971.

15. Bates, C. P. and R. Mittra, "A factorization procedure for Wiener-Hopf kernels," IEEE Trans. on Antennas and Propagation, Vol. 17, No. 1, 102-103, Jan. 1969.        Google Scholar

16. Fikioris, J. G., J. L. Tsalamengas, and N. K. Uzunoglu, "Analysis of a semi-infinite microstrip patch loaded with a ferrite substrate," Electromagnetics, Vol. 3, 271-288, 1983.        Google Scholar

17. Noble, B., Methods Based on the Wiener-Hopf Technique, Pergamon Press, 1958.

18. Daniele, V. G., "An introduction to the Wiener-Hopf technique for the solution of electromagnetic problems," Lecture Notes, 2007.        Google Scholar

19. Felsen, L. B. and N. Marcuvitz, Radiation and Scattering of Waves, IEEE Series on Electromagnetic Wave Theory, Wiley-IEEE Press, 1994.

20. Abramowitz, M. and I. A. Stegun, Handbook of Mathematical Functions with Formulas, Graphs and Mathematical Tables, Dover Books on Mathematics, 1965.

21., Software of WOLFRAM MATHEMATICA 11.1.        Google Scholar

22. Ostner, H., J. Detlefsen, and D. R. Jackson, "Radiation from one-dimensional leaky-wave antennas," IEEE Trans. on Antennas and Propagation, Vol. 43, No. 4, 331-339, Apr. 1995.        Google Scholar

23. Mesa, F., C. D. Nallo, and D. R. Jackson, "The theory of surface-wave and space-wave leaky mode excitation on microstrip lines ," IEEE Trans. on Microwave Theory and Techniques, Vol. 47, No. 2, 207-215, Feb. 1999.        Google Scholar

24. Collin, R. E. and F. Zucker, Antenna Theory. Part I & II, McGraw Hill, 1969.

25. Pozar, D. M., Microwave Engineering, 3rd edition, J. Wiley, 2007.

26. Tamir, T. and A. A. Oliner, "Guided complex waves. Part I: Fields at an interface," Proc. IEE, Vol. 110, 310-324, Feb. 1963.        Google Scholar

27. Tamir, T. and A. A. Oliner, "Guided complex waves. Part II: Relation to radiation patterns," Proc. IEE, Vol. 110, 325-334, Feb. 1963.        Google Scholar

28. Kim, K. Y., "Guided and leaky modes for circular open electromagnetic waveguides: Dielectric, plasma and metamaterial column,", Ph.D. Thesis, Dec. 2004.        Google Scholar

29. Gangaraj, S. A. H. and F. Monticone, "Topologically-protected one-way leaky waves in nonreciprocal plasmonic structures," Journal of Physics Condensed Matter, Vol. 30, No. 10, Feb. 2018.        Google Scholar

30. Jasik, H., Antenna Engineering Handbook, 1st edition, McGraw Hill, 1961.

31. Lovat, G., P. Bughignoli, and D. R. Jackson, "Fundamental properties and optimization of broadside radiation from uniform leaky-wave antennas," IEEE Trans. on Antennas and Propagation, Vol. 54, No. 5, 1442-1452, May 2006.        Google Scholar

32. Barkeshli, K., Advanced Electromagnetics and Scattering Theory, 1st edition, Springer, 2015.

33. Kyriacou, G. A. and J. N. Sahalos, "The edge admittance model for the study of microstrips on uniaxial substrate," Archiv fur Elektrotechnik, Vol. 76, 169-179, 1993.        Google Scholar

34. Kuester, E. F., R. T. Johnk, and D. C. Chang, "The thin-substrate approximation for reflection from the end of a slab-loaded parallel-plate waveguide with application to microstrip patch antennas," IEEE Trans. on Antennas and Propagation, Vol. 30, No. 5, 910-917, 1982.        Google Scholar

35. El-Sherbiny, A. M., "Exact analysis of shielded microstrip lines and bilateral fin lines," IEEE Trans. on Microwave Theory and Techniques, Vol. 29, No. 7, 669-675, 1981.        Google Scholar

36. Kyriacou, G. A., Wiener Hopf Type Analysis of Microstrip Structures, Vol. 171, Springer, 2000.

37. Talisa, S. H. and D. M. Bolle, "Performance predictions for isolators and differential phase shifters for the near millimeter wave range," IEEE Trans. on Microwave Theory and Techniques, Vol. 29, No. 12, 1338-1343, 1981.        Google Scholar

38. Iqbal, S. S. and A. A. Gibson, "Characteristics of millimeter-wave semiconductor phase shifters," International Conf. on Ant. and Prop., 323-326, Apr. 2001.        Google Scholar

39. Taya, S. A. and T. M. El-Agez, "A reverse symmetry optical waveguide sensor using a plasma substrate," Journal of Optics, Vol. 13, No. 7, 075701, 2011.        Google Scholar

40. Taya, S. A., "Slab waveguide with air core layer and anisotropic left handed material claddings as a sensor," Optoelectronics Review, Vol. 22, No. 4, 252-257, 2014.        Google Scholar

41. Taya, S. A., "Theoretical investigation of slab waveguide sensor using anisotropic metamaterial," Optica Applicata, Vol. XLV, No. 3, 405-417, 2015.        Google Scholar

42. Taya, S. A., "Dispersion properties of lossy dispersive and anisotropic left handed material slab," Optik, Vol. 126, No. 14, 1319-1323, 2015.        Google Scholar

43. Huang, T., G. B. Liu, H. F. Zhang, and L. Zeng, "A new adjustable frequency waveguide circularly polarized antenna based on the solid state plasma," Applied Physics A, Vol. 125, No. 660, 2019.        Google Scholar

44. Bates, C. P and R. Mittra, "A technique for solving certain Wiener-Hopf type boundary value problems," Antenna Laboratory Report, No. 66-4, 1966.        Google Scholar