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Efficient approach and application of the Green’s functions in spatial domain in multilayered media

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Abstract

Based on the dipole source method, all components of the Green’s functions in spectral domain are restructured concisely by four basis functions, and in terms of the two-level discrete complex image method (DCIM) with the high order Sommerfeld identities, an efficient algorithm for closed-form Green’s functions in spatial domain in multilayered media is presented. This new work enjoys the advantages of the surface wave pole extraction directly carried out by the generalized integral path without troubles of that all components of Green’s function in spectral domain should be reformed respectively in transmission line network analogy, and then the Green’s functions for mixed-potential integral equation (MPIE) analysis in both near-field and far-field in multilayered media are obtained. In addition, the curl operator for coupled field in MPIE is avoided conveniently. It is especially applicable and useful to characterize the electromagnetic scattering by, and radiation in the presence of, the electrically large 3-D objects in multilayered media. The numerical results of the S-parameters of a microstrip periodic bandgap (PBG) filter, the radar cross section (RCS) of a large microstrip antenna array, the characteristics of scattering, and radiation from the three-dimensional (3-D) targets in multilayered media are obtained, to demonstrate better effectiveness and accuracy of this technique.

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Authors and Affiliations

  1. School of Science, Xidian University, Xi’an, 710071, China

    Min Zhang, LiangChao Li & ZhenSen Wu

  2. ECE Department, National University of Singapore, 10 Kent Ridge Crescent, Crescent, 119620, Singapore

    LeWei Li

Authors
  1. Min Zhang
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  2. LeWei Li
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  3. LiangChao Li
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  4. ZhenSen Wu
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Correspondence to Min Zhang.

Additional information

Supported by the National Natural Science Foundation of China (Grant No. 60371020) and the National Defense Pre-research Foundation of China (Grant No. 9140a03020206dz0112)

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Zhang, M., Li, L., Li, L. et al. Efficient approach and application of the Green’s functions in spatial domain in multilayered media. Sci. China Ser. F-Inf. Sci. 51, 394–407 (2008). https://doi.org/10.1007/s11432-008-0025-1

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  • DOI: https://doi.org/10.1007/s11432-008-0025-1

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