Haar wavelet based algorithm for solution of second order electromagnetic problems in time and space domains. Issue 3 (11th February 2020)

• Record Type: Journal Article
• Authors: Kumar, Arun; Hashmi, Mohammad S.; Ansari, Abdul Q.; Arzykulov, Sultangali
• Is Part Of: Journal of electromagnetic waves and applications. Volume 34:Issue 3(2020)
• Page Start: 362
• Page End: 374
• Publication Date: 2020-02-11
• Subjects: 2nd order EM problem -- Haar wavelet -- space domain -- time domain; Electromagnetic waves -- Periodicals; Electromagnetic devices -- Periodicals; 621.3
• DOI: 10.1080/09205071.2020.1713225
• Languages: English
• ISSNs: 0920-5071

Abstract

Abstract: In this paper, a novel wavelet algorithm has been proposed for solving second order electromagnetic problems both in time and space domains. The algorithm has been used to solve four different problems, i.e. the transmission line problem, the problems associated with electromagnetic waves travelling in different media, the problem related to uniform plane wave in lossy dielectric and problem associated with the telegrapher's equation. The comparison between the results obtained using the proposed approach and the conventional numerical techniques demonstrate that the proposed technique exhibits better time complexity. In essence, the proposed algorithm possesses complexity of order O ( n ) whereas the conventional technique possesses complexity order of O ( n 2 ) . Furthermore, the memory requirement of the proposed algorithm is significantly lower when compared to the conventional technique.