Perturbation-Asymptotic Series Approach for an Electromagnetic Wave Problem in an Epsilon Near Zero (ENZ) Material

Abstract

Electromagnetic waves present very interesting features while the permittivity of the environment approaches to zero. This property known as ENZ (Epsilon Near Zero) has been analysed with the perturbation approach-asymptotic analysis method. Wave equations have been solved by space transformation instead of phasor domain solution and the results compared. Wave equation is non-dimensionalised in order to allow asymptotic series extension. Singular perturbation theory applied to the Wave Equation and second order series extension of electromagnetic waves have been done. Validity range of the perturbation method has been investigated by modifying parameters.

Keywords

• perturbation
• asymptotic expansion
• Epsilon Near Zero
• ENZ
• space transformation