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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

Scattering of electromagnetic plane waves from an inflnitely long nihility cylinder, coated with a chiral layer of uniform thickness, is presented. Cylindrical vector wave functions have been used to express the flelds in difierent regions. The solution is determined by solving the wave equation for difierent regions and applying the appropriate boundary conditions at the discontinuities. Both TM and TE polarizations as incident plane wave have been considered in the analysis. Obtained Numerical results for the chiral-coated nihility cylinder are compared with a chiral-coated PEC cylinder.

https://www.jpier.org/pierl/pierl18/05.10072807.pdf

Electromagnetic scattering from a chiral- coated nihility cylinder

This paper investigates the scattering of electromagnetic plane wave from an impedance strip. Both Eand H-polarizations are considered. The method of analysis is Kobayashi potential, which uses the discontinuous properties of Weber-Schafheitlin’s integrals. Imposition of boundary conditions result in dual integral equations. Using the projection, equations reduces to matrix equations. The elements are given in terms of infinite integrals that contains the poles for particular values of surface impedance and these integrals are computed numerically. Far diffracted fields in the upper half space for different angles of incident are computed. To check the validity of the results, we have derived the physical optics (PO) approximate solutions. Numerical results for both the methods are compared. The agreement is good. Current distribution on the strip is also presented.

/pdf/diffraction-of-electromagnetic-plane-wave-by-an-impedance-1ykcs3vhwp.pdf

Diffraction of Electromagnetic Plane Wave by an Impedance Strip

Fractional curl operator is utilized to construct the solutions corresponding to fractional dual rectangular waveguides. Fractional dual rectangular waveguides may be considered as intermediate of two given waveguides, where both waveguides are related through principle of duality. Characteristic impedance of fractional waveguide is determined. Behavior of field lines in transverse plane is also investigated.

/pdf/fractional-rectangular-waveguide-47rjiz4qye.pdf

Fractional Rectangular Waveguide

Electromagnetic scattering from a two dimensional perfect electromagnetic conductor (PEMC) strip and PEMC strip grating simulated by circular cylinders

Fractional curl operator has been utilized to study the wave propagation through a fractional parallel plate chiro-waveguide. Chiro-waveguide is the waveguide filled with homogeneous, isotropic chiral material. Fractional dual solutions have been established for fractional chiro-waveguide. Using these solutions for electric and magnetic fields, impedance of the walls of the fractional chiro-waveguide has been determined. It is observed that waveguide with perfect electric conducting walls and waveguide with perfect magnetic conducting walls are the two limiting cases, while the solutions for non-integer values yield the waveguide with impedance walls. Impedance of walls of the fractional chiro-waveguide has been found periodic with respect to the fractional parameter α.

Qaisar Abbas Naqvi

Papers

Electromagnetic scattering from a chiral- coated nihility cylinder

Diffraction of Electromagnetic Plane Wave by an Impedance Strip

Fractional Rectangular Waveguide

Electromagnetic scattering from a two dimensional perfect electromagnetic conductor (PEMC) strip and PEMC strip grating simulated by circular cylinders

Fractional Curl Operator and Fractional Chiro-waveguide