Nonreciprocal Local-Resonance Induced Complex Band Hybridization

Abstract

We study the complex band hybridization induced by nonreciprocal local resonances in photonic crystals. Composed of trimer unit cells, a two-dimensional (2D) magnetophotonic crystal with an analytically obtainable solution is considered. We find that nonreciprocal spectral gap may appear without nonreciprocal transmission and that the imaginary parts of the complex wavevectors $\text{Im}(\mathbf{k})$ may blow up at resonance to give extreme nonreciprocal transmission. We further show that, for a subwavelegnth lattice, the isolation ratio for the nonreciprocal transmission is determined solely by $\text{Im}(\mathbf{k})$ instead of the extensively studied real part $\text{Re}(\mathbf{k})$. Our finding contradicts the common belief that "spectral nonreciprocity [$\omega (\mathbf{k})\ne \omega (-\mathbf{k})$] always implies nonreciprocal transmission".

5 pages, 4 figures

References in corpus (20)

• Topological Photonics
• Topological Photonics
• Determination of Effective Permittivity and Permeability of Metamaterials from Reflection and Transmission Coefficients
• Non-Bloch Band Theory of Non-Hermitian Systems
• Ultra-broadband Light Absorption by a Sawtooth Anisotropic Metamaterial Slab
• What is Nonreciprocity?
• Nonreciprocal Photon Transmission and Amplification via Reservoir Engineering
• Broadband Slow Light Metamaterial Based on a Double-Continuum Fano Resonance
• Tutorial on Electromagnetic Nonreciprocity and Its Origins
• Phononic crystals with planar defects
• Formation of robust and completely tunable resonant photonic band gaps
• Geometric Origin of Non-Bloch PT Symmetry Breaking
• Complex band structure and plasmon lattice Green's function of a periodic metal-nanoparticle chain
• Modal expansions in periodic photonic systems with material loss and dispersion
• Non-Bloch band theory of generalized eigenvalue problems
• Ill-defined Topological Phases in Dispersive Photonic Crystals
• Non-reciprocal mu-near-zero mode in PT-symmetric magnetic domains
• Maxwell's demon-like nonreciprocity by non-Hermitian gyrotropic metasurfaces
• Formation of Non-reciprocal Bands in Magnetized Diatomic Plasmonic Chains
• Nonreciprocal Ballistic Transport in Asymmetric Bands