Scattering of TE- and TM-polarized wave packets on a dielectric layer: true and false group-delay times

TL;DR

This paper analyzes TE and TM wave packet scattering on a dielectric layer, introducing true and false group-delay times to distinguish measurable and non-measurable delay phenomena, with implications for wave transmission and reflection analysis.

Contribution

It presents a stationary model for TE and TM wave packet scattering, defining true and false group-delay times and clarifying their physical significance and measurement methods.

Findings

Defined true and false group-delay times for wave packets

Established a stationary model for TE and TM wave scattering

Clarified the physical meaning and measurement of delay times

Abstract

We consider an oblique incidence on a uniform dielectric layer of the plane monochromatic TE- and TM-waves, as well as TE- and TM-polarized wave packets consisting of waves with the same angle of incidence. For each polarization the stationary model is presented, which allows one to uniquely restore the dynamics of the transmitted and reflected components of the incident wave packet at all stages of scattering. On this basis we introduce the concepts of ``true group-delay time"\/ and ``false group-delay time"\/ (the corresponding quantities for transmission and reflection are the same). The former is defined as the difference of two instants in the evolution of the same wave packet, one of which cannot be measured directly. Conversely, the latter is defined as the difference of two instants in the evolution of different wave packets, both can be measured directly. The false group-delay time does not in itself have a physical sense, but plays a key role for an indirect measurement of the true group-delay times of both polarizations.