Examples



mdbootstrap.com



 
Статья
2021

Propagation of Electromagnetic Waves in Cholesteric Liquid Crystals


K. R. DossumbekovK. R. Dossumbekov, N. A. IspulovN. A. Ispulov, A. A. KurmanovA. A. Kurmanov, A. Zh. ZhumabekovA. Zh. Zhumabekov
Российский физический журнал
https://doi.org/10.1007/s11182-021-02470-8
Abstract / Full Text

Fundamental properties of solutions of Maxwell’s equations describing the propagation of electromagnetic waves in a cholesteric liquid crystal with tensor characteristics depending on one of the spatial coordinates (the Z-axis is chosen) are investigated. The matrix of the coefficients, the structure of the matrix of Maxwell’s equations, and the dispersion equations for an anisotropic liquid cholesteric medium are obtained.

Author information
  • Toraighyrov University, Pavlodar, KazakhstanK. R. Dossumbekov, N. A. Ispulov, A. A. Kurmanov & A. Zh. Zhumabekov
References
  1. M. A. Christou, A. C. Polycarpou, and N. C. Papanicolaou, IEEE Int. Symp. on Antennas and Propagation, Chicago (2012).
  2. E. P. Choate and Zhou Hong, Discrete Contin. Dyn. Syst. S, 8, No. 2, 303–312 (2015).
  3. M. Saravanan, Phys. Lett. A, 378, No. 41, 3021–3027 (2014).
  4. Yu. A. Kravtsov and B. Bieg, Opt. Appl., 40, No. 4, 975–989 (2010).
  5. E. V. Aksenova, V. P. Romanov, and A. Y. Val’kov, Mol. Cryst. Liq. Cryst., 359, 671–684 (2001).
  6. E. V. Aksenova, V. P. Romanov, and A. Y. Val’kov, Int. Seminar “Day on Diffraction’99, Saint Petersburg (1999), pp. 7–15.
  7. S. A. Khakhomov and I. V. Semchenko, Adv. Electromagn. Complex Media and Metamater. NATO Sci. Ser. II, Math. Phys. Chem., 89, 197–210 (2002).
  8. W. S. Weiglhofer and A. Lakhtakia, Optik, 96, No. 4, 179–183 (1994).
  9. W. S. Weiglhofer and A. Lakhtakia, J. Phys. D, 26, No. 12, 2117–2122 (1994).
  10. A. I. Plis and G. I. Shilina, Mol. Cryst. Liq. Cryst., 223, 19–28 (1992).
  11. V. A. Belyakov and G. I. Shilina, Mol. Crys. Liq. Cryst., 223, 55–67 (1992).
  12. S. V. Shiyanovskii, Mol. Cryst. Liq. Cryst., 179, 133–138 (1990).
  13. S. K. Tleukenov, Maqtricant Method [in Russian], Publishing House of Toraighyrov University, Pavlodar (2004).
  14. Tleukenov S. K, Bobeev A.B., Sabitova D. S//school-seminar “Волны-2016” Works. Physics and application of microwaves. Electrodynamics. – 2016. – Т. 6. – With. 75–76.
  15. S. K. Tleukenov and M. K. Zhukenov, in: Materials of the Third Int. Sci.-Pract. Conf. “Mathematical Modeling of Mechanical Systems and Physical Processes,” Almaty (2016), pp. 174–175.
  16. A. A. Kurmanov, N. A. Ispulov, A. Qadir, et al., Phys. Scripta, 96, Art. 085505; DOI: https://doi.org/10.1088/1402-4896/abfe87.
  17. S. K. Tleukenov, M. K. Zhukenov, and N. A. Ispulov, Bull. Univ. Karaganda-Physics, 2, Nos. 9–4, 29–34 (2019).
  18. N. A. Ispulov, A. Qadir, M. A. Shah, et al., Chinese Phys. B, Art. 038102 (2016); DOI: https://doi.org/10.1088/1674-1056/25/3/038102.
  19. N. A. Ispulov, A. Qadir, M. K. Zhukenov, and E. Arinov, Adv. Math. Phys., Art. 4898467 (2017); DOI: https://doi.org/10.1155/2017/4898467.
  20. N. A. Ispulov, A. Qadir, M. K. Zhukenov, et al., Adv. Math. Phys., Art. 5236898 (2017); DOI: https://doi.org/10.1155/2017/5236898.
  21. K. S. Tleukenov, Proc. School-Seminar “Waves-2016.” Acoustics of Inhomogeneous Media, Vol. 8 (2016), pp. 54–55.
  22. M. I. Ryazanov, Electrodynamics of Condensed Media [in Russian], Nauka, Moscow (1984).
  23. F. R. Gantmakher, Theory of Matrices [in Russian], Nauka, Moscow (1988).