Work

Lie algebra of transverse-magnetic waves in one-dimensional layered media

Year: 2026

Type: article

Abstract: We present an algebraic framework for analyzing transverse-magnetic (TM) waves in one-dimensional multilayer structures. We show that their behavior is governed by the underlying Lie algebra w ≅ sl (2, R ) and identify a natural correspondence between dielectric media and the infinitesimal generators of w . The existence of a Brewster angle and photonic bandgaps emerges naturally from the Lie-algebraic structure. We also derive an analytical formula for inverse design from a prescribed optical response and demonstrate its potential for invisibility engineering.

Source: Optics Express

DOI: 10.1364/oe.618209

Author: Yong Xu

Institution: Virginia Tech

Language: English

Topic: Metamaterials and Metasurfaces Applications

Subfield: Electronic, Optical and Magnetic Materials

Field: Materials Science

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,270

OpenAlex ID: W7221018155

FWCI:

Cites: 14

Cited by:

Related to: 10