Light transmission through a triangular air gap

TL;DR

This paper derives a new formula for light transmission through a triangular air gap using an analogy with quantum mechanics, compares it with existing formulas, and proposes experiments to test the differences.

Contribution

It introduces a novel transmissivity formula for triangular air gaps and suggests experimental validation, advancing understanding of light propagation in such structures.

Findings

New transmissivity formula derived and compared with existing models

Quantitative differences identified between formulas

Proposed optical experiments to validate the new model

Abstract

Due to the recent interest in studying propagation of light through triangular air gaps, we calculate, by using the analogy between optics and quantum mechanics and the multiple step technique, the transmissivity through a triangular air gap surrounded by an homogeneous dielectric medium. The new formula is then compared with the formula used in literature. Starting from the qualitative and quantitative differences between these formulas, we propose optical experiments to test our theoretical results.