Diffraction Analysis of Periodic Structures Using a Transmission-Line Formulation: Principles and Applications

Fallahi, Arya; Aghaie, Kiarash Zamani; Enayati, Amin; Shahabadi, Mahmoud

doi:10.1166/jctn.2007.030

Cited by 12 publications

(8 citation statements)

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“…This is indeed where the transmission line (TL) modeling of a periodic structure is beneficial [30]. The geometry for which a TL formulation should be developed is illustrated in Fig.…”

Section: B Fourier Modal Methodsmentioning

confidence: 99%

“…The Fourier modal method (FMM) [25][26][27][28], sometimes referred to as rigorous coupled wave approach (RCWA) [29] or transmission line (TL) formulation [30], is a mature technique for solving the problem of plane wave scattering off a layered periodic structure. The combination of the method with mode matching technique for studying arbitrary geometries is also introduced in various studies [31,32].…”

Section: Introductionmentioning

confidence: 99%

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Modeling Pyramidal Absorbers Using the Fourier Modal Method and the Mode Matching Technique

Fallahi

Enayati²

2016

IEEE Trans. Electromagn. Compat.

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-The problem of plane wave diffraction from the periodic structure of an infinite PEC wall lined with pyramidal absorbers is considered. A hybrid method based on the R-matrix Fourier modal method (RFMM) and the mode matching (MM) of fields is used for the efficient and robust analysis of this class of absorbers. The hybrid method benefits from the discrete spectrum of the periodic structure in transverse directions and consequently avoids spatial discretization along the periodicity axes. This leads to considerable reduction in the number of unknown coefficients. Furthermore, the method is capable of considering dispersive and inhomogeneous materials which are frequently used in the absorber industry. Several examples are outlined, simulated and measured to show the efficiency and accuracy of the method. The versatility and flexibility of the hybrid RFMM-MM technique makes it suitable for the optimal design of pyramidal absorbers to achieve further improvements in their performances.

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“…This is indeed where the transmission line (TL) modeling of a periodic structure is beneficial [30]. The geometry for which a TL formulation should be developed is illustrated in Fig.…”

Section: B Fourier Modal Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Modeling Pyramidal Absorbers Using the Fourier Modal Method and the Mode Matching Technique

Fallahi

Enayati²

2016

IEEE Trans. Electromagn. Compat.

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“…Hence the four submatrices in are no longer diagonal. To evaluate this matrix, the multiconductor transmission line model is applied [26], [27].…”

Section: A Periodic Methods Of Moments (Pmom)mentioning

confidence: 99%

“…The numerical procedure is actually constituted of three methods: PMoM [1], [23] as the core of the procedure, BI-RME [22] for extracting the entire-domain basis functions and multiconductor transmission line method [24]- [27] for determining the Green's function matrix. The detailed explanations of each part is found in the literature.…”

Section: Formulation Of the Problemmentioning

confidence: 99%

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Analysis of Frequency Selective Surfaces on Periodic Substrates Using Entire Domain Basis Functions

Yahaghi

Fallahi

Abiri

et al. 2010

IEEE Trans. Antennas Propagat.

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The paper presents an efficient procedure to utilize the existing method of moments/boundary integral-resonant mode expansion approach for the analysis of frequency selective surfaces printed on periodic and inhomogeneous substrates. The Green's function matrix of the structure is obtained using a multiconductor transmission line model. The resulting series equations are solved by using the periodic method of moments with entire domain functions as both basis and test functions. The required entire domain functions are extracted using boundary integral-resonant mode expansion. The Fourier coefficients of the basis functions are evaluated from the coupling integrals by applying a coordinate transformation. Some examples are analyzed and compared to measurement data. To illustrate the excellent convergence of the method, a comparison between using entire domain and sub-domain functions is made. It is shown that by using the proposed approach not only the number of required basis functions reduces but also lower truncation orders in the Fourier expansions need to be considered. This leads to a drastic reduction of the computation time.Index Terms-Boundary integral resonant mode expansion, entire domain basis functions, frequency selective surfaces, method of moments, multiconductor transmission lines method, periodic structures, spectral domain analysis.

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Modal transmission line theory of plane wave excited layered media with multiple conductive anisotropic sheets at the interfaces

Michalski

2019

Journal of Quantitative Spectroscopy and Radiative Transfer

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Diffraction Analysis of Periodic Structures Using a Transmission-Line Formulation: Principles and Applications

Cited by 12 publications

References 0 publications

Modeling Pyramidal Absorbers Using the Fourier Modal Method and the Mode Matching Technique

Modeling Pyramidal Absorbers Using the Fourier Modal Method and the Mode Matching Technique

Analysis of Frequency Selective Surfaces on Periodic Substrates Using Entire Domain Basis Functions

Modal transmission line theory of plane wave excited layered media with multiple conductive anisotropic sheets at the interfaces

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