Evaluation of Electric Field for a Dielectric Cylinder Placed in Fractional Space | [Proceedings of the Pakistan Academy of Sciences: A. Physical and Computational Sciences • 2022]

Author(s):

1. M. Akbar: Department of Electronics, Quaid-i-Azam University,Islamabad,Pakistan

2. M. Imran Shahzad: Department of Applied Physics, Federal Urdu University of Arts, Science and Technology,Islamabad,Pakistan

3. Saeed Ahmed: Department of Earth Sciences, Quaid-i-Azam University,Islamabad,Pakistan

Abstract:

The problem related to the dielectric cylinder placed in non-integer dimensional space (FD space) is thoroughly investigated in this paper. The FD space describes complex phenomena of physics and electromagnetism. We have solved Laplacian equation in FD space to obtain the solution of a dielectric cylinder in low frequency. The problem is solved by the method of separation of variables analytically. The classical solution of the problem can be easily recovered from the derived solution in non-integer dimensional space.

Page(s): 77-80

DOI: DOI not available

Published: Journal: Proceedings of the Pakistan Academy of Sciences: A. Physical and Computational Sciences, Volume: 59, Issue: 2, Year: 2022

Keywords:

Isinglimit , LaplacianEquation , FDSpace , QuantumFieldTheory

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