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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

Fields inside the chiral nihility slab which is backed by perfect electric conductor are determined. It is noted that both electric and magnetic fields exist inside the grounded chiral nihility slab when it is excited by a plane wave. Electric field inside the slab disappears for excitation due to an electric line source. Magnetic field inside the slab disappears when geometry changes to corresponding dual geometry. Dual geometry means chiral nihility slab backed by perfect magnetic conductor and excited by a magnetic line source. Using fractional curl operator, fields are determined for fractional order geometries which may be regarded as intermediate step between the two geometries which are related through principle of duality. Discussion is extended for chiral nihility slab which is backed by perfect electromagnetic conductor (PEMC).

https://www.jpier.org/download/08081201.pdf

Planar slab of chiral nihility metamaterial backed by fractional dual/pemc interface

Fractional curl operator has been utilized to wave propagation in lossless, isotropic, homogeneous and reciprocal chiral medium when it contains interfaces. The fractional solutions for the corresponding standing wave solution and transverse impedance are determined. Equivalent fractional non-symmetric transmission line has also been analyzed.

/pdf/fractional-curl-operator-in-chiral-medium-and-fractional-non-7sr49nzu6e.pdf

Fractional Curl Operator in Chiral Medium and Fractional Non-Symmetric Transmission Line

Electromagnetic scattering from an array of parallel perfect electromagnetic conductor (PEMC) circular cylinders, illuminated by a TM z plane wave, is investigated using an iterative procedure. Both the near and far fields, due to any number of interactions between the cylinders, may be determined. The technique applies the boundary conditions on the surface of each cylinder in an iterative procedure in order to solve for the field expansion coefficients. Numerical verifications are presented to prove the validity of the derived results and the numerical code, by comparison with the published literature for perfect electric conductor cylinders.

Electromagnetic Scattering from Parallel Perfect Electromagnetic Conductor Cylinders of Circular Cross-Sections Using an Iterative Procedure

Field expressions for guided waves in three-layered fractional dual planar waveguides are derived by virtue of fractional curl operator Fractional dual waveguides may be regarded as intermediate steps of the two waveguides which are related through principle of duality All layers are parallel to the walls of the guide Middle layer of the waveguide is filled with air however other two layers are filled with chiral nihility metamaterial Parameter α describes the order of the fractional curl operator No electric field exists in the chiral nihility layers of the waveguide for α = 0, whereas no magnetic field exists in the chiral nihility layers for α = 1 That is, power flow is confined to only air region of the waveguide for integer values of fractional parameter and corresponding situations have been previously discussed in a published work In present work, it is noted that, for 0 < α < 1, neither electric field and nor magnetic field is zero inside chiral nihility layers of the fractional dual wavegu

Waves in Fractional Dual Planar Waveguides Containing Chiral Nihility Metamaterial

High frequency field expressions are derived around feed point of a three dimensional Cassegrain system using the Maslov’s method. Maslov’s method is a systematic procedure for predicting the field in the caustic region. It combines the simplicity of ray theory and generality of the transform method. Numerical computations are made for the analysis of field pattern around the caustic of a Cassegrain system.

/pdf/analysis-of-the-fields-in-three-dimensional-cassegrain-3uuiqujgdf.pdf

Qaisar Abbas Naqvi

Papers

Planar slab of chiral nihility metamaterial backed by fractional dual/pemc interface

Fractional Curl Operator in Chiral Medium and Fractional Non-Symmetric Transmission Line

Electromagnetic Scattering from Parallel Perfect Electromagnetic Conductor Cylinders of Circular Cross-Sections Using an Iterative Procedure

Waves in Fractional Dual Planar Waveguides Containing Chiral Nihility Metamaterial

Analysis of the Fields in Three Dimensional Cassegrain System