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Principles Of Optics Electromagnetic Theory Of Propagation Interference And Diffraction Of Light

Advanced Mathematical Methods for Scientists and Engineers

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Introduction To Electrodynamics

This paper presents a review of definitions of fractional order derivatives and integrals that appear in mathematics, physics, and engineering.

/pdf/a-review-of-definitions-for-fractional-derivatives-and-1i2f6bcvo4.pdf

A Review of Definitions for Fractional Derivatives and Integral

https://theory.sinp.msu.ru/~tarasov/PDF/AP2008.pdf

Fractional vector calculus and fractional Maxwell’s equations

Use of fractional operator to define intermediate zones in electromagnetics via Dirichlet Green's function

Focusing of electromagnetic plane wave from a large paraboloidal re∞ector, composed of layers of chiral and/or chiral nihility metamaterials, has been studied using Maslov's method. As a flrst step, the transmission and re∞ection of electromagnetic plane wave from two parallel layers of chiral and/or chiral nihility metamaterials are investigated using transfer matrix method. The efiects of change of angle of incidence, chirality parameters and impedances of layers are noted and discussed. Special cases by taking extreme values of permittivity of second layer, while assuming value of corresponding chirality equal to zero, are also obtained for validating the methodology. These special cases are equivalent to re∞ection from a perfect electric conductor backed chiral layer and nihility backed chiral layer, respectively. Results of re∞ection from parallel layers have been utilized to study focusing from a large paraboloidal re∞ector. The present study, on focusing from a paraboloidal re∞ector, not only unifles already published work by various researchers but also provides better understanding of the problem.

/pdf/focusing-power-tunneling-and-rejection-from-chiral-and-or-ond9ykbjj3.pdf

Focusing, power tunneling and rejection from chiral and/or chiral nihility/nihility metamaterials layers

Electromagnetic scattering from coated nihility circular cylinders, illuminated by E-polarized plane wave, is investigated using an iterative procedure. Cylinders are infinite in length. The boundary conditions are applied on the surface of each cylinder in an iterative procedure in order to solve for the field expansion coefficients. The effect of different types of the coating layers including double positive (DPS) and double negative (DNG) on the alteration of the forward and backward scattering has been observed. Specially, the effect of dispersive and dissipative DNG coating layer has been focused. Numerical verifications are presented to prove the validity of this formulation by comparison with the published literature.

/pdf/effect-of-dissipative-and-dispersive-dng-material-coating-on-g0enjq9sb5.pdf

Effect of Dissipative and Dispersive DNG Material Coating on the Scattering Behavior of Parallel Nihility Circular Cylinders

This paper deals with a theoretical study of chiral and dielectric media Numerical results for polarizabilities have been investigated for chiral-chiral, chiral-dielectric, dielectric-chiral and dielectric-dielectric configuration We have also discussed the effect of permittivity change on electric polarizaibility, magnetic polarizability and cross polarizabilities Our aim is to give a comprehensive analysis of shielding effectiveness for different configurations of layered bi-isotropic spheres Our findings include the diamagnetic character of chiral sphere We present shielding effects as a function of material parameters: permittivity, permeability, and chirality Results illustrate these effective parameters influence polarizabilities and on shielding effectiveness

Shielding Effect Analysis on Layered Chiral and Dielectric Spheres

Behavior of planar multilayer periodic structures due to plane wave excitation has been studied using the transfer matrix method. Multilayer structure is taken with periodicity two. That is, layers at even and odd locations repeat themselves. Layers at odd locations are of chiral nihility metamaterial whereas three different cases for layers at even locations are considered, i.e., dielectric, chiral and chiral nihility. Effects of polarization rotation due to the optical activity is studied with respect to the angle of incidence and frequency in terahertz domain. Chiral nihility introduces property of transparency to the structure for normal incidence while complete rejection is observed for chiral nihility-chiral nihility structure at oblique incidence.

Qaisar Abbas Naqvi

Papers

Use of fractional operator to define intermediate zones in electromagnetics via Dirichlet Green's function

Focusing, power tunneling and rejection from chiral and/or chiral nihility/nihility metamaterials layers

Effect of Dissipative and Dispersive DNG Material Coating on the Scattering Behavior of Parallel Nihility Circular Cylinders

Shielding Effect Analysis on Layered Chiral and Dielectric Spheres

Effects of Planar Periodic Stratified Chiral Nihility Structures on Reflected and Transmitted Powers