Scalar Equations for Scattering by Rotationally Symmetric Radially Inhomogeneous Anisotropic Sphere

Kokkorakis, Gerassimos C.

doi:10.2528/pierl08022201

Cited by 9 publications

(6 citation statements)

References 30 publications

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“…The investigations of interactions between electromagnetic (E.M.) waves and the anisotropic dielectric targets and their applications have become increasingly important in recent years, particularly in the areas of remote-sensing and detection [1][2][3][4][5][6]. The E.M. wave's propagation in the uniaxial anisotropic medium is researched [7] by using the transmission matrix, however this wave propagation in a general anisotropic dielectric material could not be studied.…”

Section: Introductionmentioning

confidence: 99%

Research of scattering property for long anisotropic dielectric cylinders

Jin

Gong

2010

Proceedings of the 9th International Symposium on Antennas, Propagation and EM Theory

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Utilizing the scales theory of electromagnetic theory, the anisotropic dielectric material is reconstructed into an isotropic medium. The analytic expressions of scattering field and the scattering breadth for an anisotropic material cylinder are first presented. Their validities are checked theoretically. The influences induced by the dielectric constant tensor etc. on the scattering breadth are simulated. The results show that the scatterings both in the forward direction and vertical direction to the incident direction are strong. The dielectric constant in the polarizing direction has a biggish effect on scattering field.The mechanism of results is presented.

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Section: Introductionmentioning

confidence: 99%

Research of scattering property for long anisotropic dielectric cylinders

Jin

Gong

2010

Proceedings of the 9th International Symposium on Antennas, Propagation and EM Theory

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“…The scattering problems have been surveyed by many authors [32][33][34][35][36][37][38][39][40][41][42]. Here, we consider a thin wire scatterer and obtain the current induced on it.…”

Section: Examplementioning

confidence: 99%

New Direct Method to Solve Nonlinear Volterra-Fredholm Integral and Integro-Differential Equations Using Operational Matrix With Block-Pulse Functions

Babolian¹,

Masouri²,

Hatamzadeh-Varmazyar³

2008

PIER B

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Abstract-A new and effective direct method to determine the numerical solution of specific nonlinear Volterra-Fredholm integral and integro-differential equations is proposed. The method is based on vector forms of block-pulse functions (BPFs). By using BPFs and its operational matrix of integration, an integral or integro-differential equation can be transformed to a nonlinear system of algebraic equations.Some numerical examples are provided to illustrate accuracy and computational efficiency of the method. Finally, the error evaluation of this method is presented. The benefits of this method are low cost of setting up the equations without applying any projection method such as Galerkin, collocation, . . . . Also, the nonlinear system of algebraic equations is sparse.

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“…The transformation function h (t) is hence chosen to be f (t) for R 1 < t < R 2 in order to make the fields matched at the connected boundary. The scattering characteristics of this reshaped cloaking can be further examined by analytically calculating the field distribution [18][19][20][21][22][23][24][25][26][27][28]. Following the same steps of [7] and [9], we decompose the fields into TE and TM modes by introducing vector potentialsĀ TM andĀ TE , respectively [9]:…”

Section: D Perfect Cloak Created With Segments Of Cylindrical and Spmentioning

confidence: 99%

Sensitivity of Transformation Cloak in Engineering

Zhang¹,

Luo²,

Chen

et al. 2008

PIER

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Abstract-The sensitivity of cylindrical and spherical transformation cloak to several factors has been carefully studied in this paper. We find that the performance of the transformation cloak is quite sensitive to the crevice in the shell. When an obstacle is not completely wrapped inside the cloaking shell, noticeable scattering will be induced outside. It is also shown that if the shape of the cloak is changed in certain ways while the material parameters remain the same, the backward scattering is still zero. In addition, the combination of parts of cylindrical cloak can only achieve perfect invisibility in one direction, while combining the cylindrical cloak with two halves of spherical cloak can still make a perfect 3-dimensional (3D) invisible cloak. The findings are verified with finite element based simulations as well as theoretical calculations. Our discussion results are valuable to the implementation of cloak in engineering.

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Scalar Equations for Scattering by Rotationally Symmetric Radially Inhomogeneous Anisotropic Sphere

Cited by 9 publications

References 30 publications

Research of scattering property for long anisotropic dielectric cylinders

Research of scattering property for long anisotropic dielectric cylinders

New Direct Method to Solve Nonlinear Volterra-Fredholm Integral and Integro-Differential Equations Using Operational Matrix With Block-Pulse Functions

Sensitivity of Transformation Cloak in Engineering

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