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Diffraction of plane Beltrami waves by a wedge with nonidentical sides showing mixed anisotropic conduction immersed in a chiral medium

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The Sommerfeld–Malyuzhinets integral method is applied to solve the problem of diffraction of plane electromagnetic Beltrami waves normally incident on an edge of a wedge with the sides showing ideal mixed anisotropic conduction, the wedge being in an isotropic chiral medium. The anisotropy directions of the sides are mutually orthogonal.

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References

  1. S. Tretyakov, A. Sihvola, and L. Jylhä, Phot. Nanostruct. Fundament. Applicat., 3, No. 2–3, 107–115 (2005).

    Article  ADS  Google Scholar 

  2. A. Sihvola and S. Zouhdi, in: Metamaterials and Plasmonics: Fundamentals, Modelling, Applications [eds. S. Zouhdi et al.], Springer, Dordrecht (2009), pp. 3–20.

  3. P.-S. Kildal, IEEE Trans. Antennas Propagat., 38, 1537–1554 (1990).

    Article  ADS  Google Scholar 

  4. B. Z. Katsenelenbaum, E. N. Korshunova, A. N. Sivov, and A. D. Shatrov, Usp. Fiz. Nauk, 167, 1201–1212 (1997).

    Article  Google Scholar 

  5. V. V. Fisanov, Russ. Phys. J., No. 6, 577–583 (2009).

    Article  Google Scholar 

  6. A. D. Rawlins, Proc. R. Soc. Lond. A, 346, No. 1647, 469–484 (1975).

    Article  MATH  MathSciNet  ADS  Google Scholar 

  7. A. E. Heins, Math. Meth. Appl. Sci., 4, 74–90 (1982).

    Article  MATH  MathSciNet  Google Scholar 

  8. A. E. Heins, Ibid., 5, 257–275 (1983).

    Article  MATH  MathSciNet  Google Scholar 

  9. A. Büyükaksoy, ZAMM, 75, 162–164 (1995).

    MATH  Google Scholar 

  10. G. R. Wickham, Proc. R. Soc. Lond. A, 451, No. 1942, 399–423 (1995).

    Article  MATH  MathSciNet  ADS  Google Scholar 

  11. K. Rottbrand, ZAMM, 78, 321–334 (1998).

    Article  MATH  MathSciNet  Google Scholar 

  12. L. P. Castro and D. Kapanadze, Math. Comput. Model., 48, No. 1–2, 114–121 (2008).

    Article  MATH  MathSciNet  Google Scholar 

  13. A. Ishimaru, in: Proc. Symp. on Electromagnetic Theory and Antennas [ed. by E. C. Jordan], Pergamon Press, Oxford (1966), Pt. 1, pp. 591–601.

  14. M. S. Bobrovnikov and V. V. Fisanov, Russ. Phys. J., No. 3, 185–189 (1985).

    Google Scholar 

  15. V. V. Fisanov, Radiotekh. Elektron., 52, 1089–1091 (2007).

    Google Scholar 

  16. G. D. Malyuzhinets, Zh. Tekh. Fiz., 21, 940–942 (1951).

    Google Scholar 

  17. L. Felsen and N. Marcuvitz, Radiation and Scattering of Waves, Vol. 1 [Russian translation], Mir, Moscow (1978).

    Google Scholar 

  18. G. D. Malyuzhinets, Some Generalizations of the Method of Reflections in the Theory of Diffraction of Sine Waves [in Russian], Abstract of D. Sci. (Phys. & Math.) Thesis (1951).

  19. G. D. Malyuzhinets, Sommerfeld Integrals and Their Applications [in Russian], “Rumb” Central Research Institute, Leningrad (1981).

  20. V. V. Fisanov, Russ. Phys. J., No. 2, 188–194 (2008).

    Article  Google Scholar 

  21. M. S. Bobrovnikov and V. V. Fisanov, Diffraction of Waves in Angular Regions [in Russian], TSU Publishers, Tomsk (1988).

    Google Scholar 

  22. A. I. Markushevich, Theory of Analytic Functions, Vol . 1 [in Russian], Nauka, Moscow (1967).

    Google Scholar 

  23. A. Sommerfeld, in: Differential and Integral Equations of Mathematical Physics [Russian translation, ed. by F. Frank and R. Mizes], ONTI (1937), pp. 849–902.

  24. V. M. Babich, M. A. Lyalinov, and V. E. Grikurov, The Sommerfeld–Malyuzhinets Method in Theory of Diffraction [in Russian], VVM, St. Petersburg (2004).

    Google Scholar 

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Correspondence to V. V. Fisanov.

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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 5, pp. 74–79, May, 2010.

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Fisanov, V.V. Diffraction of plane Beltrami waves by a wedge with nonidentical sides showing mixed anisotropic conduction immersed in a chiral medium. Russ Phys J 53, 515–520 (2010). https://doi.org/10.1007/s11182-010-9451-9

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