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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

High frequency fleld expressions are derived at the focal points of a paraboloidal re∞ector placed in a homogenous and reciprocal chiral medium. Firstly Geometrical Optics (GO) fleld expressions are derived for the paraboloidal re∞ector placed in chiral medium. As the GO fails at the focal points, so Maslov's method has been used to flnd the fleld expressions which are also valid around the focal point. By using hybrid space, Maslov's method combine the simplicity of ray theory and the generality of Fourier Transform method. Some numerical results including contour plots and line plots around the focal region of paraboloidal re∞ector placed in chiral medium are obtained using the derived expressions.

/pdf/field-around-the-focal-region-of-a-paraboloidal-reflector-56zhyxzp1y.pdf

Field Around the Focal Region of a Paraboloidal Reflector Placed in Isotropic Chiral Medium

Two dimensional Green's function for non-integer dimensional dielectric half space geometry

Surface-wave-based optical sensing of an analyte in a fluid relies on the sensitivity of the surface wave to the electromagnetic properties of the analyte-containing fluid in the vicinity of the guiding interface. Surface-plasmon-polariton (SPP) waves are most commonly used for optical sensing because of the ease of the excitation of an SPP wave when the fluid is partnered with a metal. If the fluid is replaced by a porous, anisotropic, and periodically nonhomogeneous solid filled with the fluid, while the metal is replaced by an isotropic homogeneous dielectric material, the surface wave is called a Dyakonov–Tamm (DT) wave. We have theoretically determined that the incorporation of the DT-waveguiding interface in a prism-coupled configuration provides an alternative to the analogous SPP wave-based sensor, with comparable dynamic sensitivity.

An optical-sensing modality that exploits Dyakonov–Tamm waves

Scattering of electromagnetic plane wave by an impedance strip embedded in homogeneous isotropic chiral medium

Electromagnetic radiation of a line source scattered by a nihility cylinder, coated with a double positive (DPS) or double negative (DNG) layer, is investigated theoretically. The response of coated nihility circular cylinder is observed and it is noted that how the results obtained for this configuration differ from those of a coated perfect electric conductor (PEC) cylinder. It is assumed that both the nihility cylinder and the coating layer are infinite along the cylinder axis. The obtained numerical results are compared with the published literature. It is seen by the analysis that the directivity of the coated cylinder may be further increased when the PEC cylinder is replaced by a nihility cylinder as a core of the coated geometry at an optimized frequency.

/pdf/directive-em-radiation-of-a-line-source-in-the-presence-of-a-2601id7g9s.pdf

Qaisar Abbas Naqvi

Papers

Field Around the Focal Region of a Paraboloidal Reflector Placed in Isotropic Chiral Medium

Two dimensional Green's function for non-integer dimensional dielectric half space geometry

An optical-sensing modality that exploits Dyakonov–Tamm waves

Scattering of electromagnetic plane wave by an impedance strip embedded in homogeneous isotropic chiral medium

Directive EM Radiation of a Line Source in the Presence of a Coated Nihility Cylinder