Scattering Analysis of Large-Scale Periodic Structures Using the Sub-Entire Domain Basis Function Method and Characteristic Function Method

Du, Ping; Wang, B.-Z.; Li, Hao; Zheng, Gang

doi:10.1163/156939307783152957

Cited by 15 publications

(14 citation statements)

References 8 publications

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“…Similar to the process in Ref. [10,14,[22][23][24][25][26], by describing the fields with two Bromwich scalar potentials Φ TE and Φ TM and applying the boundary conditions, the scattered potentials can be obtained as:…”

Section: Introductionmentioning

confidence: 99%

Wave and Ray Analysis of a Type of Cloak Exhibiting Magnified and Shifted Scattering Effect

Luo¹,

Zhang²,

Chen³

et al. 2009

PIER

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Abstract-Ray-tracing exercise and full-wave analysis were performed to validate the performance of a type of cloak composed of isotropic metamaterials. It is shown that objects inside the 'folded region' of this cloak appear invisible to the incoming light from a ray tracing exercise, but exhibit magnified and shifted scattering under a plane wave illumination from a full wave analysis. Gaussian beams are introduced to resolve this interesting paradox resulted from these two methods. We show that at the time-harmonic state, small energy can be diffracted into the folded region and contribute to the resonant state even when the Gaussian beam is steered away from the cloak with an object inside. A scattering pattern identical to that scattered from the image of the object will be formed, which agrees well with the phenomenon in the plane wave incidence case.

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Section: Introductionmentioning

confidence: 99%

Wave and Ray Analysis of a Type of Cloak Exhibiting Magnified and Shifted Scattering Effect

Luo¹,

Zhang²,

Chen³

et al. 2009

PIER

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“…But because the BIE method is used on the boundary, the number of non-zero elements in the final matrix equation of the FDFD-BIE method rises rapidly, when a large object, such as a large array, is analyzed. The subentire-domain (SED) basis functions for the MoM were proposed [6,7] and used to analyze large finite periodic metal arrays [8][9][10]. In this efficient technique, the periodic property is considered, and the mutual coupling is approximately treated, so the number of unknowns can be dramatically reduced.…”

Section: Introductionmentioning

confidence: 99%

Analysis of Finite Periodic Dielectric Gratings by the Finite-Difference Frequency-Domain Method With the Sub-Entire-Domain Basis Functions and Wavelets

Zheng¹,

Wang²,

Li³

et al. 2009

PIER

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Abstract-In this paper, the finite-difference frequency-domain (FDFD) method, boundary integral equation (BIE) method and sub-entire-domain (SED) basis functions are combined to analyze scatterings from finite periodic dielectric gratings. The wavelet method is used to reduce the number of inner product operations in calculating the mutual-impedance elements between the SED basis functions. In the numerical examples, the RCS curves obtained by the method in this paper are in good agreement with those obtained by the classical full-domain FDFD method, but the computational times are largely reduced and no large matrix equation needs to be stored and solved in the former.

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“…By definition, a CCITL possesses conjugate characteristic impedances Z ± 0 of waves propagating in the opposite directions along the transmission line. Examples of CCITLs are reciprocal lossless uniform TLs, nonreciprocal lossless uniform TLs [8][9][10], exponentially tapered lossless nonuniform TLs [2,11,12] and periodically loaded lossless TLs operated in passband [13][14][15][16][17][18]. Using the ABCD matrix technique, it can be shown that the equation of the input impedance at each terminal of loaded finite lossless periodic structures is in the same form as that of CCITLs [4].…”

Section: Introductionmentioning

confidence: 99%

Equivalent Graphical Solutions of Terminated Conjugately Characteristic-Impedance Transmission Lines With Non-Negative and Corresponding Negative Characteristic Resistances

Torrungrueng¹,

Lamultree²

2009

PIER

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Abstract-This paper presents the graphical solutions of conjugately characteristic-impedance transmission lines (CCITLs) implemented by periodically loaded lossless transmission lines (TLs), which can exhibit both non-negative (NNCR) and negative characteristic resistances (NCR) with the corresponding propagation constants. The standard T-chart and the extended T-chart are employed to solve CCITL problems with NNCR and NCR cases respectively, depending on the argument of CCITL characteristic impedances. The range of plotting of the standard T-chart and the extended T-chart is always inside or on the unit circle, and always outside or on the unit circle of the voltage reflection coefficient plane, respectively. Two examples of finite periodic TL structures providing both NNCR and NCR cases are given. It is found that both T-charts provide the same input impedance of the corresponding CCITLs as expected, and the standard T-chart is more familiar and easier to deal with.

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Scattering Analysis of Large-Scale Periodic Structures Using the Sub-Entire Domain Basis Function Method and Characteristic Function Method

Cited by 15 publications

References 8 publications

Wave and Ray Analysis of a Type of Cloak Exhibiting Magnified and Shifted Scattering Effect

Wave and Ray Analysis of a Type of Cloak Exhibiting Magnified and Shifted Scattering Effect

Analysis of Finite Periodic Dielectric Gratings by the Finite-Difference Frequency-Domain Method With the Sub-Entire-Domain Basis Functions and Wavelets

Equivalent Graphical Solutions of Terminated Conjugately Characteristic-Impedance Transmission Lines With Non-Negative and Corresponding Negative Characteristic Resistances

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