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In a recent Letter [Phys. Rev. Lett. 103, 097403 (2009)], we outlined a computational method to calculate the optical properties of structures with a spatially nonlocal dielectric function. In this Article, we detail the full method, and…

Optics · Physics 2013-05-29 Jeffrey M. McMahon , Stephen K. Gray , George C. Schatz

Optical modes in anisotropic slab waveguides with topological and chiral magnetoelectric effects are investigated analytically, by deriving the closed-form characteristic equations of the modes and hence computing the dispersion-diagrams.…

Optics · Physics 2016-05-04 Nahid Talebi

A theory of light propagation through one-dimensional photonic crystals and deterministic aperiodic structures, including quasicrystals, based on doped quantum-well structures has been developed. The resonant Bragg condition, leading to the…

Mesoscale and Nanoscale Physics · Physics 2010-09-06 M. M. Voronov , N. S. Averkiev , M. M. Glazov

We present a systematic study of photonic band gaps (PBGs) in three-dimensional (3D) photonic amorphous structures (PAS) with short-range order. From calculations of the density of optical states (DOS) for PAS with different topologies, we…

The photon scattering properties of aperiodic nano-scale dielectric structures can be tailored to closely match a desired response by using adaptive algorithms for device design. We show that broken symmetry of aperiodic designs provides…

Strongly Correlated Electrons · Physics 2009-11-10 Ioan L. Gheorma , Stephan Haas , A. F. J. Levi

Here we would like to discuss the light transmission modulation by periodic and disordered one dimensional (1D) photonic structures. In particular, we will present some theoretical and experimental findings highlighting the peculiar optical…

The band structures of the photonic crystal slabs play a significant role in manipulating the flow of light and pre-dicting exotic physics in photonics. In this letter, we show that the key features of photonic band structures can be…

Optics · Physics 2023-04-20 Wenze Lan , Peng Fu , Chang-Yin Ji , Gang Wang , Yugui Yao , Changzhi Gu , Baoli Liu

Special optical structures composed of superconducting nanostructure based on the elemental type-II and layered high-Tc superconductors are proposed. The photonic band structure and the optical S-matrix are calculated for these proposed…

A general picture of photonic eigenmodes of dielectric rings with a rectangular cross section is presented, which is fundamentally different from those of whispering gallery modes of the disc. The optical spectrum of a rectangular…

Classical Physics · Physics 2023-06-16 A. P. Chetverikova , M. S. Sidorenko , K. B. Samusev , M. F. Limonov , N. S. Solodovchenko

Degeneracy is an omnipresent phenomenon in various physical systems, which has its roots in the preservation of geometrical symmetry. In electronic and photonic crystal systems, very often this degeneracy can be broken by virtue of strong…

Optics · Physics 2022-11-23 Steffen Börm , Fatemeh Davoodi , Ralf Köhl , Nahid Talebi

We calculate the photonic band structure at normal incidence of highly deformable, self-assembling systems - cholesteric elastomers subjected to external stress. Cholesterics display brilliant reflection and lasing owing to gaps in their…

Soft Condensed Matter · Physics 2009-11-07 Peter A. Bermel , Mark Warner

We study a class of periodic Schr\"odinger operators, which in distinguished cases can be proved to have linear band-crossings or "Dirac points". We then show that the introduction of an "edge", via adiabatic modulation of these periodic…

Mathematical Physics · Physics 2015-04-09 Charles L. Fefferman , James P. Lee-Thorp , Michael I. Weinstein

We generate experimentally different types of two-dimensional Bloch waves of a square photonic lattice by employing the phase imprinting technique. We probe the local dispersion of the Bloch modes in the photonic lattice by analyzing the…

We study the periods mapping from the moduli space of real hyperelliptic curves with marked point on an oriented oval to the euclidean space. The mapping arises in the analysis of Chebyshev construction used in the constrained optimization…

Geometric Topology · Mathematics 2020-01-22 Andrei Bogatyrev

We develop a formalism for the calculation of the macroscopic dielectric response of composite systems made of particles of one material embedded periodically within a matrix of another material, each of which is characterized by a well…

Electromagnetic properties of periodic two-dimensional sub-wavelength structures consisting of closely-packed inclusions of materials with negative dielectric permittivity $\epsilon$ in a dielectric host with positive $\epsilon_h$ can be…

Materials Science · Physics 2009-11-10 Gennady Shvets , Yaroslav Urzhumov

A general approach to the analysis of optical properties of photonic crystals based on multiple-quantum-well structures is developed. The effect of the polarization state and a non-perpendicular incidence of the electromagnetic wave is…

Mesoscale and Nanoscale Physics · Physics 2013-05-20 M. V. Erementchouk , L. I. Deych , A. A. Lisyansky

We present a general and useful method to predict the existence, frequency, and spatial properties of gap states in photonic (and other) structures with a gapped spectrum. This method is established using the scattering approach. It offers…

Mesoscale and Nanoscale Physics · Physics 2017-08-02 Eli Levy , Eric Akkermans

Using finite difference time domain and band structure computer simulations, we show that it is possible to construct optical cavities and waveguide architectures in hyperuniform disordered photonic solids that are unattainable in photonic…

Mesoscale and Nanoscale Physics · Physics 2013-11-12 Marian Florescu , Salvatore Torquato , Paul Steinhardt

A numerical modeling of the radiation emitted from a Luminescent dye embedded in a finite one-dimensional photonic crystal is presented. The Photonic Band Structure and the Photonic Density of States are derived using classical…

Optics · Physics 2010-12-30 J. Manzanares-Martinez , P. Castro-Garay