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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

The scattering of electromagnetic plane wave from a perfect electric conducting strip of finite width is investigated in this study. The strip is placed at the planar interface of free space and chiral medium. The Kobayashi potential method is used to determine the scattering from the strip. The dual integral equations are acquired through the boundary conditions. These equations as well as the edge conditions are satisfied through the properties of Weber–Schafheitlin integrals and the Jacobi polynomials. The projection of the Jacobi polynomials is used to get the matrix equations which are solved numerically to determine the unknown coefficients. Monostatic and bistatic scattering widths are examined in the free space region of the geometry. The far-zone scattered fields are analyzed by changing the values of different parameters, i.e. chirality and incident angle.

Scattering of electromagnetic plane wave from a perfect electric conducting strip placed at free space–chiral interface

Analysis of electromagnetic field due to a buried coated PEMC circular cylinder

A three dimensional plano-convex lens which is placed at a certain distance from a plane uniaxial interface has been considered. High frequency fields refracted by the geometry are derived. The treatment is based on Maslov's method. The method combines the simplicity of asymptotic ray theory and generality of the transform method to remedy the problem of geometrical optics around the caustic point of a focusing system. Field patterns are obtained which includes the observation points around the caustic region. The results are found in good agreement with obtained using Huygens-Kirchhoff Principle.

/pdf/focusing-of-electromagnetic-plane-wave-into-uniaxial-crystal-q2h1qmm0ad.pdf

Focusing of electromagnetic plane wave into uniaxial crystal by a three dimensional plano convex lens

Analysis of the Goos Hanchen Shift for a planar interface of NID dielectric and general medium

High frequency fields refracted by a geometry, which contains a plano-convex lens placed at a certain distance from a plane uniaxial interface, are derived by using Maslov's method. Maslov's method predicts the field in the caustic region by combining the simplicity of ray and generality of the transform method. Numerical computations are made for the field pattern around the caustic. The results are found in good agreement with results obtained using Kirchhoff's approximation.

Qaisar Abbas Naqvi

Papers

Scattering of electromagnetic plane wave from a perfect electric conducting strip placed at free space–chiral interface

Analysis of electromagnetic field due to a buried coated PEMC circular cylinder

Focusing of electromagnetic plane wave into uniaxial crystal by a three dimensional plano convex lens

Analysis of the Goos Hanchen Shift for a planar interface of NID dielectric and general medium

Study of Focusing of Field Refracted by a Cylindrical Plano-Convex Lens Into a Uniaxial Crystal by Using Maslov's Method