# Goos-H\"anchen Shifts in Graphene-Based Linear Barrier

## TL;DR

This paper investigates how Goos-H"anchen shifts in graphene are influenced by incident energy, barrier height, and width, revealing their dependence through phase shift calculations derived from transmission and reflection probabilities.

## Contribution

It introduces a method to analyze Goos-H"anchen shifts in graphene using phase shifts from energy spectrum and potential barriers, highlighting their dependence on system parameters.

## Key findings

- Goos-H"anchen shifts depend strongly on incident energy, barrier height, and width.
- Shifts can vary positively or negatively depending on conditions.
- Numerical analysis confirms the parameter dependence of the shifts.

## Abstract

Using the energy spectrum of a system made of graphene subjected to a linear barrier potential, we study the Goos-H\"anshen shifts. The calculation is done by first determining the corresponding phase shifts via the transmission and reflection probabilities. Numerical analysis shows that the Goos-H\"anshen shifts depend strongly on the incident energy, barrier height and width, and vary positively or negatively under suitable conditions.