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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

Inside the chiral nihility slab, three fractional dual solutions between the original and dual to original solutions are determined. Chiral nihility slab is backed by perfect electric conductor. Corresponding fields outside the nihility slab are determined and analyzed. It is noted that in only one case outside field is also fractional dual while for other two cases corresponding fields are not fractional dual.

Fractional Dual Solutions in Grounded Chiral Nihility Slab and their Effect on Outside Fields

The objective of this paper is to study ‘scattering of electromagnetic waves from a dielectric circular cylinder buried in non-integer dimensional dielectric half-space’. To achieve this objective first two auxiliary problems are solved. The problem of reflection and transmission of electromagnetic waves for an interface between two dielectric mediums is studied first. The dimension normal to the interface is non-integer. Secondly, radiated fields from a buried current carrying line source in an non-integer dimensional half-space have been derived. By using the results of these auxiliary problems, scattering from a low contrast dielectric cylinder buried in non-integer dimensional half-space is studied using perturbation technique. Special cases are also considered when one of the two or both half-spaces are taken to be of integer dimension

Scattering of electromagnetic plane wave from a low contrast circular cylinder buried in non-integer dimensional Half Space

Reflection and transmission properties of a planar interface of two non-integer dimensional (NID) half spaces are studied. It is assumed that dimensions of both half spaces normal to the interface are non-integer. Both half spaces are distinguished from each other by non integer dimensions rather than wavenumbers. A plane wave has been taken as source of excitation. It is observed that non integer dimensions are also the factors controlling the reflection and transmission properties of the interface. Special cases are also considered when one or neither of the two half-spaces are NID.

Electromagnetic behavior of a planar interface of non-integer dimensional spaces

Utilizing an approximate induced current distribution, the far-zone scattered fields from a perfectly conducting, circular cylinder, which is deeply buried in a dielectric half-space are evaluated....

/pdf/scattering-of-electromagnetic-waves-from-a-deeply-buried-h1ypzy2f5d.pdf

Scattering of electromagnetic waves from a deeply buried circular cylinder

High frequency field expressions are derived around feed point of a two dimensional Gregorian system using the Maslov's method. Maslov's method is a systematic procedure for predicting the field in the caustic region combining the simplicity of ray and generality of the transform method. Numerical computations are made for the computation of field pattern around the caustic of a Gregorian system.

Qaisar Abbas Naqvi

Papers

Fractional Dual Solutions in Grounded Chiral Nihility Slab and their Effect on Outside Fields

Scattering of electromagnetic plane wave from a low contrast circular cylinder buried in non-integer dimensional Half Space

Electromagnetic behavior of a planar interface of non-integer dimensional spaces

Scattering of electromagnetic waves from a deeply buried circular cylinder

Analysis of the Fields in Two Dimensional Gregorian System