Application of a quantum wave impedance method for study of infinite and semi-infinite periodic media

TL;DR

This paper demonstrates how a quantum wave impedance approach simplifies the analysis of infinite and semi-infinite periodic media, including models like Dirac comb and Kronig-Penney, compared to traditional methods.

Contribution

It introduces a reformulation of periodic media analysis using quantum wave impedance, showing its advantages over classical and transfer matrix techniques.

Findings

Quantum wave impedance simplifies the study of periodic systems.

The approach is applied to Dirac comb, δ-δ' comb, and Kronig-Penney models.

It demonstrates improved efficiency over traditional methods.

Abstract

This paper is dedicated to an application of a quantum wave impedance approach for a study of infinite and semi-infinite periodic systems. Both a Dirac comb and a $\delta-\delta'$ comb as well as a Kronig-Penney model are considered. It was shown how to reformulate the problem of an investigation of mentioned systems in terms of a quantum wave impedance and it was demonstrated how much a quantum wave impedance approach simplifies studying these systems compared to other methods. The illustation of such a simplification was provided by application of classical approach, transfer matrix technique and a quatum wave impedance method for solving Kronig-Penney model.