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Finite Element Modelling of a Cellular Electric Microenvironment

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Electromagnetic waves in a model with Chern-Simons potential.

D Yu Pis'mak¹, Yu M Pis'mak¹, F J Wegner²

¹Department of Theoretical Physics, Saint Petersburg State University, 198504 Saint Petersburg, Russia.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|August 15, 2015

Summary

This summary is machine-generated.

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This study explores Chern-Simons terms in electrodynamics at material surfaces, finding they alter electromagnetic wave reflection and transmission. These effects depend on Chern-Simons interaction strength and mix wave components.

Area of Science:

Condensed matter physics
Quantum field theory
Electromagnetism

Background:

Chern-Simons terms are crucial in topological quantum field theories.
Understanding electromagnetic phenomena at material interfaces is vital for device applications.

Purpose of the Study:

To investigate the emergence and impact of Chern-Simons terms in electrodynamics at material surfaces or interfaces.
To analyze the scattering and reflection of electromagnetic waves under these conditions.

Main Methods:

Imposed requirements of locality, gauge invariance, and renormalizability.
Determined scattering and reflection of electromagnetic waves across three homogeneous media layers.

Main Results:

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Snell's law remains valid.

Transmission and reflection coefficients are influenced by Chern-Simons interaction strength (related to Hall conductance).

Parallel and perpendicular electromagnetic wave components become mixed.

Conclusions:

Chern-Simons terms at material interfaces modify electromagnetic wave propagation.
The Hall conductance plays a key role in these modifications.
This phenomenon has implications for understanding wave behavior in structured materials.