1D Photonic Band Gap Atlas, Formula Extension and Design Applications

TL;DR

This paper provides a comprehensive theoretical analysis of photonic band gaps in multilayer structures, offering an atlas of band gap behaviors, extending design formulas, and highlighting implications for photonic device development.

Contribution

It introduces a detailed band gap atlas for various multilayer structures and extends formulas for designing Bragg mirrors, enhancing understanding and flexibility in photonic device engineering.

Findings

Binary systems are sufficient for most applications.

Ternary systems offer additional design flexibility.

Formulas for Bragg mirror design are extended with identified limitations.

Abstract

The design and development of new photonic devices for technological applications requires a deep understanding of the effect of structural properties on the resulting band gap size and its position. Here, we perform a theoretical study of behavior of the photonic band gap sizes, positions and percentages under variations of the parameters characterizing binary (two materials), ternary (three materials) and linear dielectric grating multilayer structures. The resulting band gap atlas show that binary systems may suffice for most applications but ternary systems may add additional flexibility in design if needed. Linear gratings show a regular pattern for all gaps studied, this regularity was able to be reproduced with only few materials involved. The position of the gaps showed a very monotonous behavior for all calculations performed. Finally, additional extensions of formulas commonly used in the design of Bragg mirrors/reflectors using binary materials were proposed with their corresponding limitations discussed. These results can be seen as a technological horizon for photonic device development.