2023-02-22
Analysis of Moving Dielectric Half-Space with Oblique Plane Wave Incidence Using the Finite Difference Time Domain Method
By
Progress In Electromagnetics Research M, Vol. 115, 119-128, 2023
Abstract
We propose an original and detailed investigation of a moving dielectric half-space with oblique plane wave incidence, by using the Finite Difference Time Domain (FDTD) method. In our FDTD program, movements are implemented by changing positions of the interfaces at different time instants, through the classical FDTD time loop. With this ``brute-force'' approach, time is implicitly absolute, and Voigt-Lorentz transformations are not implemented. This technique is suitable for non-relativistic electromagnetic problems with moving bodies, thus for most encountered electromagnetic problems. We analyze the transmitted and reflected waves, for different speeds, different refractive indices, and different incidence angles. Based on the obtained results, we derive several analytical formulas for the reflection coefficients, transmission coefficients, Doppler frequency shifts, and angles of transmission and reflection. These formulas are validated by full-wave electromagnetic simulations and are in agreement with the literature. The electric field distribution obtained at time instants is also studied.
Citation
Mohammad Marvasti, and Halim Boutayeb, "Analysis of Moving Dielectric Half-Space with Oblique Plane Wave Incidence Using the Finite Difference Time Domain Method," Progress In Electromagnetics Research M, Vol. 115, 119-128, 2023.
doi:10.2528/PIERM23012204
References

1. Yee, K., "Numerical solution of initial boundary value problems involving Maxwell's equations in isotropic media," IEEE Transactions on Antennas and Propagation, Vol. 14, No. 3, 302-307, 1966.
doi:10.1109/TAP.1966.1138693        Google Scholar

2. Taflove, A. and M. E. Brodwin, "Numerical solution of steady-state electromagnetic scattering problems using the time-dependent Maxwell's equations," IEEE Transactions on Microwave Theory and Techniques, Vol. 23, No. 8, 623-630, 1975.
doi:10.1109/TMTT.1975.1128640        Google Scholar

3. Reineix, A. and B. Jecko, "Analysis of microstrip patch antennas using finite difference time domain method," IEEE Transactions on Antennas and Propagation, Vol. 37, No. 11, 1361-1369, 1989.
doi:10.1109/8.43555        Google Scholar

4. Sheen, D. M., S. M. Ali, M. D. Abouzahra, and J.-A. Kong, "Application of the three-dimensional finite-difference time-domain method to the analysis of planar microstrip circuits," IEEE Transactions on Microwave Theory and Techniques, Vol. 38, No. 7, 849-857, 1990.
doi:10.1109/22.55775        Google Scholar

5. Yee, K. S., D. Ingham, and K. Shlager, "Time-domain extrapolation to the far field based on FDTD calculations," IEEE Transactions on Antennas and Propagation, Vol. 39, No. 3, 410-413, 1991.
doi:10.1109/8.76342        Google Scholar

6. Rabbani, M. S., J. Churm, and A. P. Feresidis, "Fabry-Perot beam scanning antenna for remote vital sign detection at 60 GHz," IEEE Transactions on Antennas and Propagation, Vol. 69, No. 6, 3115-3124, 2021.
doi:10.1109/TAP.2021.3049233        Google Scholar

7. Chioukh, L., H. Boutayeb, D. Deslandes, and K. Wu, "Noise and sensitivity of harmonic radar architecture for remote sensing and detection of vital signs," IEEE Transactions on Microwave Theory and Techniques, Vol. 62, No. 9, 1847-1855, 2014.
doi:10.1109/TMTT.2014.2343934        Google Scholar

8. Taravati, S. and A. A. Kishk, "Space-time modulation: Principles and applications," IEEE Microwave Magazine, Vol. 21, No. 4, 30-56, 2020.
doi:10.1109/MMM.2019.2963606        Google Scholar

9. Kashaninejad-Rad, A., A. Abdolali, and M. M. Salary, "Interaction of electromagnetic waves with a moving slab: Fundamental dyadic method," Progress In Electromagnetics Research B, Vol. 60, 2014.        Google Scholar

10. Stolyarov, S., "Reflection and transmission of electromagnetic waves incident on a moving dielectric slab," Radiophysics and Quantum Electronics, Vol. 10, No. 2, 151-153, 1967.
doi:10.1007/BF01040984        Google Scholar

11. Yeh, C. and K. Casey, "Reflection and transmission of electromagnetic waves by a moving dielectric slab," Physical Review, Vol. 144, No. 2, 665, 1966.
doi:10.1103/PhysRev.144.665        Google Scholar

12. Yeh, C., "Propagation along moving dielectric wave guides," JOSA, Vol. 58, No. 6, 767-770, 1968.
doi:10.1364/JOSA.58.000767        Google Scholar

13. Yeh, C., "Brewster angle for a dielectric medium moving at relativistic speed," Journal of Applied Physics, Vol. 38, No. 13, 5194-5200, 1967.
doi:10.1063/1.1709301        Google Scholar

14. Pelosi, G., R. Coccioli, and R. Graglia, "A finite-element analysis of electromagnetic scattering from a moving dielectric cylinder of arbitrary cross section," Journal of Physics D: Applied Physics, Vol. 27, No. 10, 2013, 1994.
doi:10.1088/0022-3727/27/10/004        Google Scholar

15. Harfoush, F., A. Taflove, and G. A. Kriegsmann, "A numerical technique for analyzing electromagnetic wave scattering from moving surfaces in one and two dimensions," IEEE Trans. on Ant. and Propag., Vol. 37, No. 1, 55-63, 1989.
doi:10.1109/8.192164        Google Scholar

16. Inman, M. J., A. Z. Elsherbeni, and C. Smith, "Finite difference time domain simulation of moving objects," Proc. of IEEE Radar Conf., 439-445, 2003.        Google Scholar

17. Zheng, K., X. Liu, Z. Mu, and G. Wei, "Analysis of scattering elds from moving multilayered dielectric slab illuminated by an impulse source," IEEE Antennas and Wireless Propagation Letters, Vol. 16, 2130-2133, 2017.
doi:10.1109/LAWP.2017.2700038        Google Scholar

18. Zheng, K.-S., J.-Z. Li, G. Wei, and J.-D. Xu, "Analysis of doppler effect of moving conducting surfaces with lorentz-fdtd method," Journal of Electromagnetic Waves and Applications, Vol. 27, No. 2, 149-159, 2013.
doi:10.1080/09205071.2013.741042        Google Scholar

19. Liu, Y., K. Zheng, Z. Mu, and X. Liu, "Reflection and transmission coefficients of moving dielectric in half space," 2016 11th International Symposium on Antennas, Propagation and EM Theory (ISAPE), IEEE, 485-487, 2016.
doi:10.1109/ISAPE.2016.7834032        Google Scholar

20. Zheng, K., Z. Mu, H. Luo, and G. Wei, "Electromagnetic properties from moving dielectric in high speed with lorentz-fdtd," IEEE Antennas and Wireless Propagation Letters, Vol. 15, 934-937, 2015.        Google Scholar

21. Li, Y., K. Zheng, Y. Liu, and L. Xu, "Radiated fields of a high-speed moving dipole at oblique incidence," 2017 International Applied Computational Electromagnetics Society Symposium (ACES), IEEE, 1-2, 2017.        Google Scholar

22. Zheng, K., Y. Li, X. Tu, and G. Wei, "Scattered fields from a three-dimensional complex target moving at high speed," 2018 International Applied Computational Electromagnetics Society Symposium-China (ACES), IEEE, 1-2, 2018.        Google Scholar

23. Zheng, K., Y. Li, L. Xu, J. Li, and G. Wei, "Electromagnetic properties of a complex pyramid-shaped target moving at high speed," IEEE Transactions on Antennas and Propagation, Vol. 66, No. 12, 7472-7476, 2018.
doi:10.1109/TAP.2018.2872164        Google Scholar

24. Zheng, K., Y. Li, S. Qin, K. An, and G. Wei, "Analysis of micromotion characteristics from moving conical-shaped targets using the lorentz-fdtd method," IEEE Transactions on Antennas and Propagation, Vol. 67, No. 11, 7174-7179, 2019.
doi:10.1109/TAP.2019.2927625        Google Scholar

25. Boutayeb, H., "Numerical methods in electromagnetism: Finite difference time domain method, part 1,", DOI: http://dx.doi.org/10.13140/2.1.1247.3604 10.13140/2.1.1247.3604.        Google Scholar