EM Scattering From Cylindrical Structures Coated by Materials With Inhomogeneity in Both Radial and Azimuthal Directions

Kiani, Mohammad; Abdolali, Ali; Salary, Mohammad Mahdi

doi:10.1109/tap.2015.2391289

Cited by 14 publications

(5 citation statements)

References 21 publications

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“…The necessary step for modeling the fabric structures given as bi-periodic arrays of circular cylinders (fibers) arranged in bundles (yarns), is solving the problem of scattering from cylinders. This problem has been studied for many years and several different methods have been adopted for this purpose [11][12][13][14][15][16][17][18][19][20][21][22][23][24][25]. Some of these are general methods, such as the finite-difference time-domain (FDTD) method [11], finite-element method (FEM) [12], boundary-element method [13] and rigorous coupled waveguide analysis (RCWA) [14].…”

Section: Introductionmentioning

confidence: 99%

“…Therefore, semi-analytical methods that exploit some available geometrical features of the structure can be of great advantage [15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30]. These methods rely on the multipole expansions and often outperform full-wave methods particularly when the number of elements is large and the number of excited modes inside each element could be kept small [31].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Electromagnetic Scattering From Bi-Periodic Fabric Structures

Salary¹,

Jafar‐Zanjani²,

Mosallaei³

2017

PIER B

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Abstract-We develop an efficient semi-analytical technique to calculate the electromagnetic scattering from fabric structures modeled as crossed gratings of circular coated fibers of any material composition, arranged arbitrarily in yarns. The method relies on a matrix formulation based on multipole expansion for modeling conical scattering from uniaxial gratings of fibers, and employs a scattering matrix approach to obtain co-and cross-polarized transmission and reflection coefficients. The lattice sums are evaluated using an efficient adaptive algorithm based on Shank's transformation. The method can be employed for analyzing the scattering characteristics of fabric structures embedded in any arbitrary layered media. The validity of the method is verified through comparison with full-wave finite-difference time-domain simulations. A substantial performance gain is obtained, which makes the proposed method applicable to solve large-scale fabric structures.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Electromagnetic Scattering From Bi-Periodic Fabric Structures

Salary¹,

Jafar‐Zanjani²,

Mosallaei³

2017

PIER B

Self Cite

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“…The differential equation system in ( 20)-( 23) has no exact solution except for some special cases. Similar to previous studies in the field of planar and cylindrical structures [28][29][30][31][32], the process of derivation of EM fields variation in the direction of inhomogeneity are based on the solution of the wave propagation system of differential equations. Therefore, the difference between equations form and the process of extracting them in comparison with the recent studies in the field of radially inhomogeneous spherical structures is obvious and expected [18][19][20][21][22].…”

Section: Problem Definitionmentioning

confidence: 99%

“…Meanwhile, inhomogeneous media are of the great importance owing to their extensive use in lens antenna design [23][24][25][26] and transparency [5,27]. In addition, according to the presented applications of inhomogeneous planar and cylindrical structures in [28][29][30][31][32], using these media in spherical structures could also result in potentially interesting applications. Along with the abovementioned investigations, several recent researches in the field of inhomogeneous spherical structures show the significance of analyzing EM scattering from these structures [18][19][20][21][22].…”

Section: Introductionmentioning

confidence: 99%

Analytical method for analysis of electromagnetic scattering from inhomogeneous spherical structures using duality principles

2018

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In this article, an analytical approach is presented for the analysis of electromagnetic (EM) scattering from radially inhomogeneous spherical structures (RISSs) based on the duality principle. According to the spherical symmetry, similar angular dependencies in all the regions are considered using spherical harmonics. To extract the radial dependency, the system of differential equations of wave propagation toward the inhomogeneity direction is equated with the dual planar ones. A general duality between electromagnetic fields and parameters and scattering parameters of the two structures is introduced. The validity of the proposed approach is verified through a comprehensive example. The presented approach substitutes a complicated problem in spherical coordinate to an easy, well posed, and previously solved problem in planar geometry. This approach is valid for all continuously varying inhomogeneity profiles. One of the major advantages of the proposed method is the capability of studying two general and applicable types of RISSs. As an interesting application, a class of lens antenna based on the physical concept of the gradient refractive index material is introduced. The approach is used to analyze the EM scattering from the structure and validate strong performance of the lens.

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“…Over the past few decades, numerous computational methods have been extensively studied for analyzing such structures. Some are analytic or semi-analytic methods based on multipole expansion [7][8][9][10][11][12][13][14][15][16]. Among them, techniques relying on a scattering matrix (T-matrix) have been widely developed and applied.…”

Section: Introductionmentioning

confidence: 99%

An efficient surface-integral-equation based Nystrom method for periodic grating scattering

Tan,

Bai

2024

Preprint

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The design complexity of photonic crystals and periodic gratings has been continuously increasing, driven by exploration of their unique physical phenomena and widespread applications. However, existing approaches for scattering modeling of periodic structures, typically relying on commercial software, often encounter challenges when adapting to complex configurations, especially in the context of near-field analysis and frequency responses near resonance. Therefore, the development of a more efficient and general scattering modeling approach to overcome these limitations has emerged as a fundamentally crucial and intricate task. In this paper, an efficient surface integration equation (SIE)-based method is developed to model the scattering properties of arbitrary-shaped 2D gratings with 1D periodicity. The SIE is solved with a Nystrom approach, which incorporates a local correction scheme and a Gaussian-Legendre quadrature rule to deal with singularity points with improved accuracy. The efficient evaluation of periodic Green's functions is achieved by combining an imaginary wavenumber extraction technique with an integral transformation approach. Furthermore, an over-determined matrix equation is constructed by testing the SIE with redundant observation points to mitigate potential internal resonance phenomena. The proposed approach is assessed through various numerical examples involving scatterers of different shapes and arrangements to demonstrate its accuracy and efficiency. The transmissivity spectra and surface field results, considering both normal and grazing incidence, are computed and compared against Comsol simulations and an independent wave-expansion-based analytical method. The method proposed is found to be superior in accuracy and efficiency to Comsol, a commercial software application, especially when complicated evanescent modes are excited. The proposed method serves as an efficient tool for modeling scattering from periodic gratings with arbitrary shapes.

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EM Scattering From Cylindrical Structures Coated by Materials With Inhomogeneity in Both Radial and Azimuthal Directions

Cited by 14 publications

References 21 publications

Electromagnetic Scattering From Bi-Periodic Fabric Structures

Electromagnetic Scattering From Bi-Periodic Fabric Structures

Analytical method for analysis of electromagnetic scattering from inhomogeneous spherical structures using duality principles

An efficient surface-integral-equation based Nystrom method for periodic grating scattering

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