6533b82ffe1ef96bd1295cbe

RESEARCH PRODUCT

A WAVELET OPERATOR ON THE INTERVAL IN SOLVING MAXWELL'S EQUATIONS

Guido AlaFabio ViolaElisa Francomano

subject

Curl (mathematics)Lossless compressionElectromagnetic PhenomenaWavelet operator Maxwell's equationsMathematical analysisComputingMethodologies_IMAGEPROCESSINGANDCOMPUTERVISIONData_CODINGANDINFORMATIONTHEORYPhysics::Classical PhysicsElectronic Optical and Magnetic MaterialsSettore ING-IND/31 - ElettrotecnicaSettore MAT/08 - Analisi Numericasymbols.namesakeWaveletMaxwell's equationsBounded functionsymbolsTime domainMathematics

description

In this paper, a differential wavelet-based operator defined on an interval is presented and used in evaluating the electromagnetic field described by Maxwell's curl equations, in time domain. The wavelet operator has been generated by using Daubechies wavelets with boundary functions. A spatial differential scheme has been performed and it has been applied in studying electromagnetic phenomena in a lossless medium. The proposed approach has been successfully tested on a bounded axial-symmetric cylindrical domain.

yearjournalcountryeditionlanguage
2011-01-01Progress In Electromagnetics Research Letters
https://doi.org/10.2528/pierl11090505