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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

Diffraction of electromagnetic plane wave by an infinitely long conducting strip on dielectric slab

Analytical solution of vector wave equation describing the scattering of electromagnetic plane waves from an infinitely long circular chiral cylinder placed in another chiral metamaterial is presented. Cylindrical vector wave functions are used to express the fields both inside and outside the circular cylinder. The unknown are determined by applying the appropriate boundary conditions at the cylindrical interface. The numeric results are presented taking different combinations of metamaterials for inner and outer mediums of the cylinder. For this purpose chiral and/or chiral nihility cylinder placed in chiral and/or chiral nihility mediums are considered. Extreme cases of permittivity and permeability corresponding to PEC and PMC cylinder are also considered.

Scattering of electromagnetic plane wave from a chiral cylinder placed in chiral metamaterials

In the present investigation, difiraction from a slit in perfectly electromagnetic conducting (PEMC) plane has been studied. Both the E- and H-polarization are considered and the method of analysis is Kobayashi Potential (KP). The mathematical formulation involves dual integral equations (DIEs). These DIEs are solved by using the discontinuous properties of Weber-Schafheitlin's integral. The resulting expressions, flnally, reduce to matrix equations. These are then used to compute the values of unknown expansion coe-cients. Numerical results are presented for difierent parameters of interest especially the dependance of co-polarized and cross-polarized components on the admittance parameter.

Diffraction of Electromagnetic Plane Wave from a Slit in PEMC Plane

Scattering of left and right circularly polarized electromagnetic plane waves from a perfect electrically conducting strip placed in homogenous isotropic chiral medium is investigated using Kobayashi Potential (KP) method. The KP method is being employed for the first time to investigate the scattering phenomenon in homogeneous isotropic chiral medium. In the problem formulation, we encounter dual integral equations which are solved using discontinuous properties of Weber–Schafheitlin’s integral. Far zone scattered co- and cross-components are determined numerically using steepest descent method. Dependence of scattered co- and cross-components on angle of incidence and the chirality parameter has been demonstrated through numerical results.

Scattering of electromagnetic plane wave by a PEC strip in homogeneous isotropic chiral medium

Fractional rectangular impedance waveguide has been studied using fractional curl operator. Behavior of fleld inside the fractional rectangular impedance waveguide has been studied with respect to the original impedance of walls of the guide as well as fractional parameter. Analysis of the impedance of the walls as well as power distribution over the cross sectional plane of fractional impedance rectangular waveguide has been given. It has been found that fractional curl can be used to control the power distribution pattern over the cross sectional plane.

/pdf/fractional-rectangular-impedance-waveguide-kykznsi1ce.pdf

Qaisar Abbas Naqvi

Papers

Diffraction of electromagnetic plane wave by an infinitely long conducting strip on dielectric slab

Scattering of electromagnetic plane wave from a chiral cylinder placed in chiral metamaterials

Diffraction of Electromagnetic Plane Wave from a Slit in PEMC Plane

Scattering of electromagnetic plane wave by a PEC strip in homogeneous isotropic chiral medium

Fractional Rectangular Impedance Waveguide