volume | PIER Journals

2014-12-21

Efficient Evaluation of Near-Field Time-Domain Physical-Optics Integral Using Locally Expanded Green Function Approximation

Xiao Zhou,

Dr. Xiao Zhou

Department of Radio Engineering

Southeast University

China

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Tie-Jun Cui

Professor Tie-Jun Cui

Department of Radio Engineering

Southeast University

China

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Progress In Electromagnetics Research, Vol. 150, 41-48, 2015

doi:10.2528/PIER14102507

Abstract

A time-efficient method is proposed to calculate the near-field time-domain physical-optics (TD-PO) integral to analyze the transient electromagnetic fields scattered from three-dimensional perfectly conducting objects under the illumination of a pulsed plane wave. It is shown that the TDPO integral can be reduced to a close-form expression by introducing locally expanded Green-function approximations used in conjunction with the surface partitioning. As a result, the near-field TD-PO response to a general pulsed plane wave excitation is derived by a convolution of the excitation waveform with the TD-PO impulse response, which can be performed in a closed form. To satisfy the causality, i.e., the transient field cannot travel away from the sources faster than the speed of light, the high-order derivative of a modulated-Gaussian wave is specified as the excitation waveform. The efficiency and accuracy of the proposed near-field formulas are validated through numerical examples.

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Xiao Zhou, and Tie-Jun Cui, "Efficient Evaluation of Near-Field Time-Domain Physical-Optics Integral Using Locally Expanded Green Function Approximation," Progress In Electromagnetics Research, Vol. 150, 41-48, 2015.
doi:10.2528/PIER14102507

References

1. Sun, E.-Y. and W. Rusch, "Time-domain physical-optics," IEEE Transactions on Antennas and Propagation, Vol. 42, No. 1, 9-15, 1994.
doi:10.1109/8.272295

2. Sun, E.-Y. and W. V. T. Rusch, "Time-domain physical-optics analysis of large reflector antennas," Antennas and Propagation Society International Symposium, AP-S, Merging Technologies for the 90’s, Digest, Vol. 1, 26-29, 1990.
doi:10.1109/APS.1990.115041

3. Guan, Y., S.-X. Gong, S. Zhang, B. Lu, and T. Hong, "A novel time-domain physical optics for computation of electromagnetic scattering of homogeneous dielectric objects," Progress In Electromagnetics Research M, Vol. 14, 123-134, 2010.
doi:10.2528/PIERM10081605

4. Le Bolzer, F., R. Gillard, J. Citerne, V. Fouad Hanna, and M. Wong, "A time-domain hybrid method combining the finite-difference and physical-optics methods," Microwave and Optical Technology Letters, Vol. 21, No. 2, 82-88, 1999.
doi:10.1002/(SICI)1098-2760(19990420)21:2<82::AID-MOP2>3.0.CO;2-W

5. Qin, S.-T., S.-X. Gong, R. Wang, and L.-X. Guo, "A TDIE/TDPO hybrid method for the analysis of TM transient scattering from two-dimensional combinative conducting cylinders," Progress In Electromagnetics Research, Vol. 102, 181-195, 2010.
doi:10.2528/PIER09122405

6. Zhou, X. and T. J. Cui, "A closed-form representation of time-domain far fields based on physical optics," IEEE Antennas and Wireless Propagation Letters, Vol. 11, 965-968, 2012.
doi:10.1109/LAWP.2012.2213331

7. Gordon, W. B., "Far-field approximations to the Kirchoff-Helmholtz representations of scattered fields," IEEE Transactions on Antennas and Propagation, Vol. 23, No. 4, 590-592, 1975.
doi:10.1109/TAP.1975.1141105

8. Bolukbas, D. and A. A. Ergin, "A radon transform interpretation of the physical optics integral," Microwave and Optical Technology Letters, Vol. 44, 284-288, 2005.
doi:10.1002/mop.20612

9. Legault, S., "Refining physical optics for near-field computations," Electronics Letters, Vol. 40, No. 1, 71-72, 2004.
doi:10.1049/el:20040001

10. Hansen, T. and A. D. Yaghjian, Plane-wave Theory of Time-domain Fields, IEEE Press, 1999.
doi:10.1109/9780470545522

11. Martinez-Burdalo, M., L. Nonidez, A. Martin, and R. Villar, "Near-field time-domain physical-optics and FDTD method for safety assessment near a base-station antenna," Microwave and Optical Technology Letters, Vol. 39, No. 5, 393-395, 2003.
doi:10.1002/mop.11227