Confined Electromagnetic Waves in Media Composed of Topological Insulators

Fuente: arXiv
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Autor principal: Filipini, Sebastián
Formato: Preprint
Publicado: 2025
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author Filipini, Sebastián
author_facet Filipini, Sebastián
contents Topological insulators (TIs) are quantum materials combining insulating bulk properties with conductive surface states protected by time-reversal symmetry. Their unique electromagnetic behavior originates from the topological magnetoelectric effect encoded in an axion-like $θ$-term ($θ$ = $π$ mod 2$π$). This $θ$-electrodynamics modifies Maxwell's equations specifically at material interfaces through altered boundary conditions, preserving conventional bulk electrodynamics while enabling surface-mediated optical effects like polarization rotation and hybrid wave modes. This thesis explores electromagnetic wave confinement in TI-based waveguides. Key advances include: (1) Controlled modification of reactive and dissipated energies through polarization engineering in waveguide geometries; (2) Experimental realization of transverse electromagnetic (TEM) waves violating Earnshaw's theorem via $θ$ discontinuities in coaxial TI structures, demonstrating unique polarization rotation mechanisms and low-loss propagation through bent fibers; (3) TEM wave confinement with fewer than two conductors using imaginary $θ$ parameters, explained through self-consistent surface charge dynamics; (4) First-principles identification of hybrid TE-TM modes in TI slab waveguides, contrasting with conventional magnetoelectric material responses. These findings establish how surface boundary condition modifications from $θ$ enable new electromagnetic solutions despite unchanged bulk equations. The demonstrated phenomena -- including modified propagation modes, non-trivial polarization dynamics, and unconventional confinement -- suggest photonic applications in polarization control and optical routing. By connecting topological electrodynamics with waveguide physics, this work provides both fundamental insights and practical design principles for topological photonic systems.
format Preprint
id arxiv_https___arxiv_org_abs_2502_13048
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Confined Electromagnetic Waves in Media Composed of Topological Insulators
Filipini, Sebastián
Optics
Mesoscale and Nanoscale Physics
Topological insulators (TIs) are quantum materials combining insulating bulk properties with conductive surface states protected by time-reversal symmetry. Their unique electromagnetic behavior originates from the topological magnetoelectric effect encoded in an axion-like $θ$-term ($θ$ = $π$ mod 2$π$). This $θ$-electrodynamics modifies Maxwell's equations specifically at material interfaces through altered boundary conditions, preserving conventional bulk electrodynamics while enabling surface-mediated optical effects like polarization rotation and hybrid wave modes. This thesis explores electromagnetic wave confinement in TI-based waveguides. Key advances include: (1) Controlled modification of reactive and dissipated energies through polarization engineering in waveguide geometries; (2) Experimental realization of transverse electromagnetic (TEM) waves violating Earnshaw's theorem via $θ$ discontinuities in coaxial TI structures, demonstrating unique polarization rotation mechanisms and low-loss propagation through bent fibers; (3) TEM wave confinement with fewer than two conductors using imaginary $θ$ parameters, explained through self-consistent surface charge dynamics; (4) First-principles identification of hybrid TE-TM modes in TI slab waveguides, contrasting with conventional magnetoelectric material responses. These findings establish how surface boundary condition modifications from $θ$ enable new electromagnetic solutions despite unchanged bulk equations. The demonstrated phenomena -- including modified propagation modes, non-trivial polarization dynamics, and unconventional confinement -- suggest photonic applications in polarization control and optical routing. By connecting topological electrodynamics with waveguide physics, this work provides both fundamental insights and practical design principles for topological photonic systems.
title Confined Electromagnetic Waves in Media Composed of Topological Insulators
topic Optics
Mesoscale and Nanoscale Physics
url https://arxiv.org/abs/2502.13048