Efficient Sub-Gridded FDTD for Three-Dimensional Time-Reversed Electromagnetic Field Shaping

Authors

  • Xiao-Kun Wei School of Physics University of Electronic Science and Technology of China, Chengdu, Sichuan 610054, China
  • Wei Shao School of Physics University of Electronic Science and Technology of China, Chengdu, Sichuan 610054, China
  • Xiao Ding School of Physics University of Electronic Science and Technology of China, Chengdu, Sichuan 610054, China
  • Bing-Zhong Wang School of Physics University of Electronic Science and Technology of China, Chengdu, Sichuan 610054, China

Keywords:

Electromagnetic field shaping, finitedifference time-domain (FDTD) method, sub-gridded scheme, time reversal (TR) technique

Abstract

Based on the space-time focusing property of the time reversal technique, the electromagnetic field shaping of arbitrary patterns is easily realized by using an efficient sub-gridded finite-difference time-domain (FDTD) method in this paper. It is an electrically large and multiscale problem if the desired shaping field requires high resolution. With the advantage of the sub-gridded scheme, the electromagnetic field shaping region can be locally discretized with dense grids, which is embedded in global coarse grids. Then, the Courant-Friedrich-Levy (CFL) limit can be extended by employing the spatial filtering scheme to filter out the unstable harmonics inside the dense grid region. Thus, the number of total unknowns is largely reduced and a common time step size chosen from the CFL limit of the coarse grid is used throughout the computational domain. Simulation results with two kinds of boundary conditions are provided to demonstrate the availability of the spatially-filtered sub-gridded FDTD method for electromagnetic field shaping.

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References

G. Lerosey, J. de Rosny, A. Tourin, et al., “Time reversal of electromagnetic waves,” Phys. Rev. Lett., vol. 92, no. 19, Art. no. 193904, May 2004.

X. Xu, H. Liu, and L. V. Wang, “Time-reversed ultrasonically encoded optical focusing into scattering media,” Nature Photon., vol. 5, pp. 154- 157, Mar. 2011.

X. K. Wei, W. Shao, S. B. Shi, Y. F. Cheng, and B. Z. Wang, “An optimized higher order PML in domain decomposition WLP-FDTD method for time reversal analysis,” IEEE Trans. Antennas Propag., vol. 64, no. 10, pp. 4374-4383, Oct. 2016.

X. K. Wei, W. Shao, H. Ou, and B. Z. Wang, “An efficient higher-order PML in WLP-FDTD method for time reversed wave simulation,” J. Comput. Phys., vol. 321, no. 9, pp. 1206-1216, Aug. 2016.

J. de Rosny and M. Fink, “Focusing properties of near-field time reversal,” Phys. Rev. A, vol. 76, no. 6, Art. no. 065801, 2007.

G. Lerosey, J. de Rosny, A. Tourin, and M. Fink, “Focusing beyond the diffraction limit with farfield time reversal,” Science, vol. 315, no. 5815, pp. 1120-1122, Feb. 2007.

X. K. Wei, W. Shao, H. Ou, and B. Z. Wang, “Efficient WLP-FDTD with complex frequencyshifted PML for super-resolution analysis,” IEEE Antennas Wireless Propagat. Lett., vol. 16, pp. 1007-1010, 2017.

D. Zhao, Y. Jin, B. Z. Wang, and R. Zang, “Time reversal based broadband synthesis method for arbitrary structured beam-steering arrays,” IEEE Trans. Antennas Propag., vol. 60, no. 1, pp. 164- 173, Jan. 2012.

M. D. Hossain, A. S. Mohan, and M. J. Abedin, “Beamspace time-reversal microwave imaging for breast cancer detection,” IEEE Antennas Wireless Propag. Lett., vol. 12, pp. 241-244, 2013.

D. Zhao, and M. Zhu, “Generating microwave spatial fields with arbitrary patterns,” IEEE Antennas Wireless Propag. Lett., vol. 15, pp. 1739- 1742, 2016.

W. Fan, Z. Chen, and W. J. R. Hoefer, “Source reconstruction from wideband and band-limited responses by FDTD time reversal and regularized least squares,” IEEE Trans. Microw. Theory Techn., vol. 65, no. 12, pp. 4785-4793, Dec. 2017.

H. Zhao, Y. Zhang, J. Hu, and Z. Chen, “Hybrid sparse reconstruction-method of moments for diagnosis of wire antenna arrays,” Appl. Comput. Electrom. Society J., vol. 32, no. 10, pp. 882-887, Oct. 2017.

Y. F. Shu, X. C. Wei, R. Yang, and E. X. Liu, “An iterative approach for EMI source reconstruction based on phaseless and single-plane near-field scanning,” IEEE Trans. Electromagn. Compat., vol. 60, no. 4, pp. 937-944, Aug. 2018.

H. Zhao, Y. Zhang, J. Hu, and E. P. Li, “Iterationfree phase retrieval for directive radiators using field amplitudes on two closely-separated observation planes,” IEEE Trans. Electromagn. Compat., vol. 58, no. 2, pp. 607-610, Apr. 2016.

A. Taflove and S. C. Hagness, Computational Electromagnetics: The Finite-Difference TimeDomain Method. Norwood, MA, USA: Artech House, 2005.

K. Xiao, D. J. Pommerenke, and J. L. Drewniak, “A three-dimensional FDTD subgridding algorithm with separated temporal and spatial interfaces and related stability analysis,” IEEE Trans. Antennas Propag., vol. 55, no. 7, pp. 1981- 1990, July 2007.

C. Chang and C. D. Sarris, “A spatially filtered finite-difference time-domain scheme with controllable stability beyond the CFL limit: Theory and applications,” IEEE Trans. Microw. Theory Techn., vol. 61, no. 1, pp. 351-359, Jan. 2013.

X. K. Wei, X. Zhang, N. Diamanti, W. Shao, and C. D. Sarris, “Sub-gridded FDTD modeling of ground penetrating radar scenarios beyond the Courant stability limit,” IEEE Trans. Geosci. Remote Sensing, vol. 55, no. 12, pp. 7189-7198, Dec. 2017.

S. D. Gedney, “An anisotropic perfectly matched layer-absorbing medium for the truncation of FDTD lattices,” IEEE Trans. Antennas Propag., vol. 44, no. 12, pp. 1630-1639, Dec. 1996.

D. Cassereau and M. Fink, “Time reversal of ultrasonic fields—Part III: Theory of the closed time-reversal cavity,” IEEE Trans. Ultrasonic, Ferroelectron., Frequency Control, vol. 39, no. 5, pp. 579-592, Sep. 1992.

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Published

2021-07-22

How to Cite

[1]
Xiao-Kun Wei, Wei Shao, Xiao Ding, and Bing-Zhong Wang, “Efficient Sub-Gridded FDTD for Three-Dimensional Time-Reversed Electromagnetic Field Shaping”, ACES Journal, vol. 33, no. 08, pp. 828–834, Jul. 2021.

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