Analytical Classification of the Time and Frequency Dependence Basics inDielectric Materials

摘要

This paper contributes new perspectives including convenient transformations forwaves in dispersive materials and covers most types of structures. Some conditions related with the constitutive parameters put some limits on calculations. Formalisms in literature use some extra extensions to overcome the analytical difficulties related with the application of Fourier transform. All of known extensions accept certain discontinuities postulated in time domain. Although, frequency domain characteristic has pole singularities at certain frequencies such a sharp discontinuity may not be acceptable in discussions related with physical point of view. For example, if we want to explain the discontinuity of time domain susceptibility for Debye materials then we have to discuss the generation of the material in atomic level since the susceptibility is not an effect of external sources. We consider solving such inconveniencies by giving the constitutive relations of a time varying and dispersive medium by convenient transformations. We give the exact definitions of medial parameters by these transformations.