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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

Goos–Hänchen shift observed from stratified medium

The surface fields diffracted by an anisotropic impedance wedge at skew incidence are determined and studied using the Maliuzhinets method. The spectral functions for the fields are obtained using a perturbation approach, considering the normal incidence as the unperturbed configuration. The asymptotic expressions for the surface fields are derived. The asymptotic results are compared with the surface fields computed numerically along the steepest decent path, and useful conclusions are drawn.

Surface Fields of an Anisotropic Impedance Wedge at Skew Incidence

Achieving geometrical enhancement of fields in chiral nanoplasmonics using fractional calculus

The purpose of this communication is to point out multiple errors in a previously published work and to present the erroneous parts of the work in an error free form. The typographical errors cause serious problems in the understanding of this interesting and stimulating work. It is also observed that the plots given in the published paper also contain errors. Some accurate plots are given for the same data as given in the pre- viously published work. The plots given in this communication agree very well with the corresponding method of moments results. Efforts are also made to extend previous work by evaluating the far-zone scattered field in the lower dielectric half-space. The problem of scattering of electromagnetic waves from an obstacle buried in dielectric half-space geometry has been under- taken by many authors. The work by Hongo and Hamamura 1 is most interesting and stimulating among all of these. Unfortu- nately, there are many typographical errors in the published paper. Some of these typographical errors cause serious problems in the understanding of their work. In this communication, their work is presented in an error-free form so that interested readers can easily understand Hongo and Hamamura's important work. Efforts are also made to extend their work to calculate the far-zone scat- tered field expression in region below the buried obstacle. For convenience, equations and figures in this communication are la- beled with same equation and figure numbers as given in work by Hongo and Hamamura and only erroneous parts of the paper are discussed. It is important to note that, field plots given in that paper 1 cannot be reproduced by either using erroneous far-zone field expression which is given in the published paper or far-zone field expression given in this communication. Therefore, it is concluded that the field plots given in the paper1 also contain errors. Far-zone field expression is plotted for the same data as given in the paper1 for the case of a perfectly conducting circular cylinder using the field expression given in this communication.

Corrections to "Asymptotic Solutions for the Scattered Fields of Plane Wave by a Cylindrical Obstacle Buried in a

The investigation of core-shell nanoparticles has been greatly exciting in biomedical applications, as this remains of prime importance in targeted drug delivery, sensing, etc. In the present work, the polarizability and scattering features of nanoparticles comprised of nano-sized dielectric/metallic core-shell structures were investigated in the fractional dimensional (FD) space, which essentially relates to the confinement of charged particles. For this purpose, three different kinds of metals-namely aluminum, gold and silver-were considered to form the shell, having a common silicon dioxide (SiO2) nanoparticle as the core. It is noteworthy that the use of noble metal-SiO2 mediums interface remains ideal to realize surface plasmon resonance. The core-shell nanoparticles were considered to have dimensions smaller than the operating wavelength. Under such conditions, the analyses of polarizability and the scattering and absorption cross-sections, and also, the extinction coefficients were taken up under Rayleigh scattering mechanism, emphasizing the effects of a varying FD parameter. Apart from these, the tuning of resonance peaks and the magnitude of surface plasmons due to FD space parameter were also analyzed. It was found that the increase of FD space parameter generally results in blue-shifts in the resonance peaks. Apart from this, the usage of gold and silver shells brings in fairly large shifts in the peak positions of wavelengths, which allows them to be more suitable for a biosensing purpose.

https://www.mdpi.com/1996-1944/13/10/2400/pdf

Qaisar Abbas Naqvi

Papers

Goos–Hänchen shift observed from stratified medium

Surface Fields of an Anisotropic Impedance Wedge at Skew Incidence

Achieving geometrical enhancement of fields in chiral nanoplasmonics using fractional calculus

Corrections to "Asymptotic Solutions for the Scattered Fields of Plane Wave by a Cylindrical Obstacle Buried in a

On the Core-Shell Nanoparticle in Fractional Dimensional Space.