The wave equation and general plane wave solutions in fractional space

Muhammad Zubair; M. J. Mughal; Q. A. Naqvi

doi:10.2528/PIERL10102103

The wave equation and general plane wave solutions in fractional space

Muhammad Zubair, M. J. Mughal, Q. A. Naqvi

Research output: Contribution to journal › Article › peer-review

89 Scopus citations

Abstract

This work presents the analytical solution of vector wave equation in fractional space. General plane wave solution to the wave equation for fields in source-free and lossless media is obtained in fractional space. The obtained solution is a generalization of wave equation from integer dimensional space to a non-integer dimensional space. The classical results are recovered when integer-dimensional space is considered.

Original language	English (US)
Pages (from-to)	137-146
Number of pages	10
Journal	Progress In Electromagnetics Research Letters
Volume	19
DOIs	https://doi.org/10.2528/PIERL10102103
State	Published - Jan 1 2010
Externally published	Yes

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials

Access to Document

10.2528/PIERL10102103

Cite this

@article{dcb746dabb734c198f5ac2482d7a30f5,

title = "The wave equation and general plane wave solutions in fractional space",

abstract = "This work presents the analytical solution of vector wave equation in fractional space. General plane wave solution to the wave equation for fields in source-free and lossless media is obtained in fractional space. The obtained solution is a generalization of wave equation from integer dimensional space to a non-integer dimensional space. The classical results are recovered when integer-dimensional space is considered.",

author = "Muhammad Zubair and Mughal, {M. J.} and Naqvi, {Q. A.}",

note = "Generated from Scopus record by KAUST IRTS on 2023-09-20",

year = "2010",

month = jan,

day = "1",

doi = "10.2528/PIERL10102103",

language = "English (US)",

volume = "19",

pages = "137--146",

journal = "Progress In Electromagnetics Research Letters",

issn = "1937-6480",

publisher = "EMW Publishing",

}

TY - JOUR

T1 - The wave equation and general plane wave solutions in fractional space

AU - Zubair, Muhammad

AU - Mughal, M. J.

AU - Naqvi, Q. A.

N1 - Generated from Scopus record by KAUST IRTS on 2023-09-20

PY - 2010/1/1

Y1 - 2010/1/1

N2 - This work presents the analytical solution of vector wave equation in fractional space. General plane wave solution to the wave equation for fields in source-free and lossless media is obtained in fractional space. The obtained solution is a generalization of wave equation from integer dimensional space to a non-integer dimensional space. The classical results are recovered when integer-dimensional space is considered.

AB - This work presents the analytical solution of vector wave equation in fractional space. General plane wave solution to the wave equation for fields in source-free and lossless media is obtained in fractional space. The obtained solution is a generalization of wave equation from integer dimensional space to a non-integer dimensional space. The classical results are recovered when integer-dimensional space is considered.

UR - http://www.jpier.org/PIERL/pier.php?paper=10102103

UR - http://www.scopus.com/inward/record.url?scp=79951967025&partnerID=8YFLogxK

U2 - 10.2528/PIERL10102103

DO - 10.2528/PIERL10102103

M3 - Article

SN - 1937-6480

VL - 19

SP - 137

EP - 146

JO - Progress In Electromagnetics Research Letters

JF - Progress In Electromagnetics Research Letters

ER -

The wave equation and general plane wave solutions in fractional space

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this