Effective light dynamics in perturbed photonic crystals

DOI10.1007/s00220-014-2083-0zbMath1314.35182arXiv1307.1642OpenAlexW2103284231MaRDI QIDQ461420

Max Lein, Giuseppe De Nittis

Publication date: 10 October 2014

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.1642

zbMATH Keywords

homogenizationBloch wavesphotonic crystalMaxwell's equation

Mathematics Subject Classification ID

Waves and radiation in optics and electromagnetic theory (78A40) Maxwell equations (35Q61)

Related Items (8)

Equivalence of electric, magnetic, and electromagnetic Chern numbers for topological photonic crystals ⋮ Elliptic operators with honeycomb symmetry: Dirac points, edge states and applications to photonic graphene ⋮ Derivation of ray optics equations in photonic crystals via a semiclassical limit ⋮ Wave packet dynamics in slowly modulated photonic graphene ⋮ The Schrödinger formalism of electromagnetism and other classical waves -- how to make quantum-wave analogies rigorous ⋮ On the K-theoretic classification of dynamically stable systems ⋮ Characterization of edge states in perturbed honeycomb structures ⋮ Spectral and scattering theory of one-dimensional coupled photonic crystals

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the role of symmetries in the theory of photonic crystals
• Semiclassics for particles with spin via a Wigner-Weyl-type calculus
• Classification of ``real Bloch-bundles: topological quantum systems of type AI
• Derivation of ray optics equations in photonic crystals via a semiclassical limit
• Analytische Faserungen über holomorph-vollständigen Räumen
• Existence of the exponentially localized Wannier functions
• Effective dynamics for particles coupled to a quantized scalar field
• Adiabatic perturbation theory in quantum dynamics
• Effective dynamics for Bloch electrons: Peierls substitution and beyond
• Classification of ``quaternionic Bloch-bundles: topological quantum systems of type AII
• Semiclassical approximations for Hamiltonians with operator-valued symbols
• Semi- and non-relativistic limit of the Dirac dynamics with external fields
• The homotopy type of the unitary group of Hilbert space
• The perturbed Maxwell operator as pseudodifferential operator
• Triviality of Bloch and Bloch-Dirac bundles
• Exponentially localized Wannier functions in periodic zero flux magnetic fields
• Topological polarization in graphene-like systems
• APPLICATIONS OF MAGNETIC ΨDO TECHNIQUES TO SAPT
• Periodic table for topological insulators and superconductors
• The Functional Calculus
• The time-dependent Born-Oppenheimer approximation
• Tight frames of exponentially decaying Wannier functions
• DIFFRACTION OF BLOCH WAVE PACKETS FOR MAXWELL'S EQUATIONS

This page was built for publication: Effective light dynamics in perturbed photonic crystals