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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 from a coated nihility circular cylinder placed in chiral metamaterial

By using a piecewise uniform approximation method, the reflectance and transmittance of light for an obliquely incident circularly polarized plane wave on a tilt-modulated chiral sculptured thin film (STF) were computed. The circular Bragg phenomenon was found to vanish when the amplitude of the modulation was high enough for oblique incidence. The tilt-modulated chiral STF then acts like a conventional mirror in the Bragg regime.

Suppression of circular Bragg phenomenon in tilt-modulated chiral-sculptured thin films at oblique incidence

Diffraction of an electromagnetic plane wave from a slit in an impedance plane has been presented The method is based on Maliuzhinets technique for impedance surfaces Comparison of the field patterns with different values of the face impedance are also presented

https://www.jpier.org/pierb/pierb05/17.08021402.pdf

Diffraction of EM Plane Wave by a Slit in an Impedance Plane Using Maliuzhinets Function

Fractional dual solutions to Maxwell equations are derived using differential forms formalism. Fractional dual solutions may be regarded as intermediate step between the original solutions and dual to the original solutions. Fractional differential operator has been used to obtain the fractional dual solutions.

http://www.researchgate.net/profile/Faiza_Mustafa/publication/245380311_Fractional_Dual_Solutions_Using_Calculus_of_Differential_Forms/links/540d33a50cf2df04e7547f76.pdf

Fractional Dual Solutions Using Calculus of Differential Forms

We study the scattering of time harmonic electromagnetic plane wave from a topological insulator circular cylinder in chiral medium Variation of scattering behavior for different values of radii and permittivity of the cylinder is noted when time reversal symmetry is protected and we also studied the scattering behavior when time reversal symmetry is broken Although scattering behavior of co-polarized component of field is not significantly different from chiral cylinder in chiral medium yet it is found that the same, when time reversal symmetry broken, is similar to scattering from a perfect conductors Scattering behaviour of cross-polarized field component of topological cylinder in chiral medium is remarkably different from chiral cylinder ie it has stronger scattering possibly due to the presence of conducting states near the surface Moreover, it is noted that the scattering in forward direction for cross-polarized and co-polarized components are not correlated with permittivity but for carefully selected values of permittivity, we can control the scattering behavior of topological insulator circular cylinder

Qaisar Abbas Naqvi

Papers

Scattering from a coated nihility circular cylinder placed in chiral metamaterial

Suppression of circular Bragg phenomenon in tilt-modulated chiral-sculptured thin films at oblique incidence

Diffraction of EM Plane Wave by a Slit in an Impedance Plane Using Maliuzhinets Function

Fractional Dual Solutions Using Calculus of Differential Forms

Electromagnetic scattering from a topological insulator cylinder placed in chiral medium