Mathematical Theory for Photonic Hall Effect in Honeycomb Photonic Crystals

This paper develops a mathematical theory to explain and predict the photonic Hall effect in honeycomb photonic crystals. It's significant because it provides a theoretical framework for understanding and potentially manipulating light propagation in these structures, which could have implications for developing new photonic devices. The use of layer potential techniques and spectral analysis suggests a rigorous mathematical approach to the problem.

• •Develops a mathematical theory for the photonic Hall effect.
• •Proves the existence of guided electromagnetic waves at the interface of honeycomb photonic crystals.
• •The guided waves are analogous to edge states in electronic systems.
• •The work uses layer potential techniques and spectral analysis.