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The employment of uniaxial/biaxial bianisotropic materials in the field of optical device manufacturing is widespread due to the distinctive electromagnetic response characteristics exhibited by such materials. To effectively analyze the electromagnetic properties of uniaxial/biaxial bianisotropic materials, rapid-transfer matrix method (R-TMM) is proposed to investigate the propagation process of plane waves in the media. Starting from the Maxwell’s equations in the time domain, the homogeneous differential equation about the electric field is constructed by processing the matrix containing dielectric and magnetic conductivity, electric and magnetic loss, tellegen and chirality carrier parameters, and the complex matrix operation is applied to that equation to get the booker quartic equation, and then the formulae method are utilized to obtain the eigenvalues in the uniaxial/biaxial bianisotropic media. Subsequently, the tangential continuity of layered media at the interface is employed to establish a transfer matrix for single-layered media. In the case of multi-layered media, the transfer matrix of plane waves propagating in multi-layered uniaxial/biaxial bianisotropic media can be obtained by means of a continuous iteration process based on the transfer matrix of single-layered media. The formula for calculating the propagation coefficient of uniaxial/biaxial bianisotropic materials can be derived based on the different upward and downward waves in the reflection/transmission region. Finally, the reliability and efficiency of R-TMM is verified from two numerical experiments with the plane waves incident at different angles on a uniaxial/biaxial bianisotropic media. The first experiment is designed as a single-layered biaxial bianisotropic model with more general electromagnetic parameters, and the second experiment is designed as a double-layered uniaxial and biaxial bianisotropic model consisting of common optical materials, which are composed of two non-magnetic materials, lithium niobate (LiNbLO3) and cadmium sulfide (CdS). The experimental results demonstrate that, in comparison with the conventional conventional-transfer matrix method (C-TMM), the R-TMM reduces the computational memory and CPU time required for calculating the reflection and transmission coefficients of the uniaxial/ biaxial bianisotropic model by over 98%, while maintaining the accuracy of the reflection and transmission coefficients calculation. Therefore, R-TMM provides an efficient and dependable approach for the design of complex optical devices and the analysis for uniaxial/biaxial bianisotropic propagation characteristics.
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[1] Chen Y, Duan G, Xu C, Qin X, Zhao Q, Zhou H, Wang B 2024 Diam. Relat. Mater. 143 110939
[2] Hosseini. K, Atlasbaf. Z 2018 IEEE Trans. Antennas Propag. 66 262
[3] Ahmed F, Hassan T, Shoaib N 2020 IEEE Antennas Wirel. Propag. Lett. 19 1833
[4] Dong. Z, Feng. X, Zhou H, Liu C, Zhang M, Liang W 2023 IEEE Trans. Geosci. Remote Sens. 61 1
[5] Kong J A 1972 Proc. IEEE. 60 1036
[6] Wang Y P 2007 Engineering Electrodynamics (2rd Ed.) (Xi’ an: Xidian University Press) pp23-24 (in Chinese) [王一平 2007 工程电动力学 (第二版) (西安: 西安电子科技大学出版社) 第23—24页]
[7] Zarifi D, Soleimani M, Abdolali A 2014 IEEE Trans. Antennas Propag. 62 1538
[8] Dimitriadis A I, Kantartzis N V, Tsiboukis T D 2013 IEEE Trans. Magn. 49 1769
[9] Mousvai S M, Arand B A, Forooraghi K 2021 IEEE Access. 9 54241
[10] Ozturk G, Ozturk G, Kaya Y, Barroso J J, Ertugrul M 2021 IEEE Trans. Antennas Propag. 69 7064
[11] Karimi P, Rejaei B, Khavasi A 2023 IEEE Trans. Antennas Propag. 71 2507
[12] Chen W, Huang H, Yang L X, Bo Y, Huang Z X 2023 Acta Phys. Sin. 72 060201 (in Chinese) [陈伟, 黄海, 杨利霞, 薄勇, 黄志祥 2023 72 060201]
[13] Xie G D, Hou G L H, Niu K K, Feng N X, Fang M, Li Y S, Huang Z X 2023 Acta Phys. Sin. 72 060201 (in Chinese) [谢国大, 侯桂林, 牛凯坤, 冯乃星, 方明, 李迎松,黄志祥 2023 72 150201]
[14] Demarest K 1987 IEEE Trans. Antennas Propag. 35 826
[15] Ge D B, Yan Y B 2005 Finite-Difference Time-Domain Method for Electromagnetic Waves (3rd Ed.) (Xi’ an: Xidian University Press) pp259-294 (in Chinese) [葛德彪, 闫玉波 2005 电磁波时域有限差分方法 (第三版) (西安: 西安电子科技大学出版社) 第259—294页]
[16] Wang F, Ge D B, Wei B 2009 Acta Phys. Sin. 58 6356 (in Chinese) [王飞, 葛德彪, 魏兵 2009 58 6356]
[17] Greenwood A D, Jin J M 1999 IEEE Trans. Antennas Propag. 47 1260
[18] Sun H X, Xu B Q, Wang J J, Xu G D, Xu C G, Wang F 2009 Acta Phys. Sin. 58 6344 (in Chinese) [孙宏祥, 许伯强, 王纪俊, 徐桂东, 徐晨光, 王峰 2009 58 6344]
[19] Hanninen I, Nikoskinen K 2008 IEEE Trans. Antennas Propag. 56 278
[20] Wang Z, Wang B Z 2014 Acta Phys. Sin. 63 120202 (in Chinese) [王哲, 王秉中 2009 63 120202]
[21] Ge D B, Wei B 2011 Electromagnetic Waves Theory (Beijing: Science Press) pp 62-73 (in Chinese) [葛德彪, 魏兵 2011 电磁波理论 (北京: 科学出版社) 第62—73页]
[22] Johnston T W 1969 Radio Sci. 4 729
[23] Chen H C 1981 Radio Sci. 16 1213
[24] Tan E L, Tan S Y 1999 IEEE Trans. Antennas Propag. 47 1820
[25] Zheng H X, Ge D B 2000 Acta Phys. Sin. 49 1702 (in Chinese) [郑宏兴, 葛德彪 2000 49 1702]
[26] Jiang Y Y, Shi H Y, Zhang Y Q, Hou C F, Sun X D 2007 Chin Phys. 16 1956
[27] Sarrafi P, Qian L 2012 IEEE J. Quantum Electron. 48 555
[28] Wang F, Wei B 2019 Acta Phys. Sin. 68 244101 (in Chinese) [王飞, 魏兵2019 68 244101]
[29] Zhang Y, Feng N, Wang G P, Zheng H 2021 IEEE Trans. Antennas Propag. 69 4727
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