Transmission line formulation for the full-wave analysis of two-dimensional dielectric photonic crystals

Shahabadi, Mahmoud; Atakaramians, Shaghik; Hojjat, N.

doi:10.1049/ip-smt:20040819

Cited by 55 publications

(38 citation statements)

References 9 publications

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“…As presented in [36], we define single column matrices ( ), ( ), ( ), ( ), ( ) and ( ) the entries of which are ( ), ( ), ( ), ( ), ( ) and ( ), respectively. From (8), one can easily deduce that ⁄ ≡ − , and ⁄ ≡ − with and being diagonal matrices with diagonal elements equal to = + 1 + 2 and = + 1 + 2 .…”

Section: B Fourier Modal Methodsmentioning

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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-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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Section: B Fourier Modal Methodsmentioning

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%

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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“…is a slab dielectric waveguide for a given > 0 (Figure 1), the eigenvalue problem of the form (1) is a model for propagation of TE modes of electromagnetic waves in with respect to the z direction, that is a reformulation of Maxwell's equations [10].…”

Section: Figurementioning

confidence: 99%

A Nyström Method for the Eigenvalue Problem of a Class of Noncompact Operators

Majidian¹,

Babolian²

2010

Numerical Functional Analysis and Optimization

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We consider the eigenvalue problem of certain kind of noncompact linear operators given as the sum of a multiplication and a kernel operator. Under the assumption that there is a unique (up to normalization) positive eigenfunction f p , we propose a combination of the finite section and Nyström methods for approximation of f p and the corresponding eigenvalue. It is proved that the proposed method is convergent. Some examples of the problem are solved numerically using the proposed method.

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Transmission line formulation for the full-wave analysis of two-dimensional dielectric photonic crystals

Cited by 55 publications

References 9 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

A Nyström Method for the Eigenvalue Problem of a Class of Noncompact Operators

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