FDTD-based electromagnetic modeling of dielectric materials with fractional dispersive response

L Mescia, P Bia, D Caratelli - Electronics, 2022 - mdpi.com
The use of fractional derivatives and integrals has been steadily increasing thanks to their
ability to capture effects and describe several natural phenomena in a better and systematic …

Fractional Fowler–Nordheim law for field emission from rough surface with nonparabolic energy dispersion

M Zubair, YS Ang, LK Ang - IEEE Transactions on Electron …, 2018 - ieeexplore.ieee.org
The theories of field electron emission from perfectly planar and smooth canonical surfaces
are well understood, but they are not suitable for describing emission from rough, irregular …

Electromagnetic fields in fractal continua

AS Balankin, B Mena, J Patiño, D Morales - Physics Letters A, 2013 - Elsevier
Fractal continuum electrodynamics is developed on the basis of a model of three-
dimensional continuum ΦD3⊂ E3 with a fractal metric. The generalized forms of Maxwell …

Thickness dependence of space-charge-limited current in spatially disordered organic semiconductors

M Zubair, YS Ang, LK Ang - IEEE Transactions on Electron …, 2018 - ieeexplore.ieee.org
Charge transport properties in organic semiconductors are determined by two kinds of
microscopic disorders, namely, energetic disorder related to the distribution of localized …

[HTML][HTML] Fractional-dimensional Child-Langmuir law for a rough cathode

M Zubair, LK Ang - Physics of Plasmas, 2016 - pubs.aip.org
This work presents a self-consistent model of space charge limited current transport in a gap
combined of free-space and fractional-dimensional space (F α), where α is the fractional …

[HTML][HTML] Fractional Fresnel coefficients for optical absorption in femtosecond laser-induced rough metal surfaces

M Zubair, YS Ang, KJA Ooi, LK Ang - Journal of Applied Physics, 2018 - pubs.aip.org
The surface morphology of metal influences its optical absorptivity. Recent experiments
have demonstrated that the femtosecond laser induced surface structures on metals could …

On cylindrical model of electrostatic potential in fractional dimensional space

QA Naqvi, M Zubair - Optik, 2016 - Elsevier
The Laplace's equation in a fractional dimensional space describes the electrostatic
potential inside fractal media in the framework of fractal continuum models. An exact solution …

Scattering from a perfect electromagnetic conducting (PEMC) strip buried in non-integer dimensional dielectric half-space using Kobayashi potential method

QA Naqvi - Optik, 2017 - Elsevier
Using Kobayashi potential method, mathematical formulation and solution have been
provided for scattering from a perfect electromagnetic conducting (PEMC) strip buried under …

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

QA Naqvi, MA Fiaz - Journal of Electromagnetic Waves and …, 2017 - Taylor & Francis
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 …

Generalized fractional Wentzel–Kramers–Brillouin approximation for electron tunnelling across rough metal interface

MW Ramzan, K Riaz, MQ Mehmood… - … of the Royal …, 2023 - royalsocietypublishing.org
The conductive rough surfaces act as an integral part of several electron devices and
systems. Electron tunnelling through the potential barrier imposed by the rough metal …