scholarly journals On the spectrum of waveguides in planar photonic bandgap structures

2015 ◽  
Vol 471 (2176) ◽  
pp. 20140673 ◽  
Author(s):  
B. M. Brown ◽  
V. Hoang ◽  
M. Plum ◽  
I. Wood
Keyword(s):  
Spectral Problem ◽  
Electromagnetic Waves ◽  
Axial Direction ◽  
Band Gaps ◽  
Photonic Crystal Waveguides ◽  
Linear Defect ◽  
Small Perturbations ◽  
Mode Spectrum ◽  
Guided Mode ◽  
Photonic Bandgap Structures

We study a Helmholtz-type spectral problem related to the propagation of electromagnetic waves in photonic crystal waveguides. The waveguide is created by introducing a linear defect into a two-dimensional periodic medium; the defect is infinitely extended and aligned with one of the coordinate axes. This perturbation introduces guided mode spectrum inside the band gaps of the fully periodic, unperturbed spectral problem. In the first part of the paper, we prove that guided mode spectrum can be created by arbitrarily ‘small’ perturbations. Secondly, we show that, after performing a Floquet decomposition in the axial direction of the waveguide, for any fixed value of the quasi-momentum k x , the perturbation generates at most finitely many new eigenvalues inside the gap.

scholarly journals Coherently Driven and Superdirective Antennas

Electronics ◽  
2019 ◽  
Vol 8 (8) ◽  
pp. 845 ◽  
Author(s):  
Alex Krasnok
Keyword(s):  
Dielectric Resonator ◽  
Electromagnetic Waves ◽  
Wireless Power Transfer ◽  
Higher Order ◽  
Power Transfer ◽  
Wireless Power ◽  
Entire Spectrum ◽  
Guided Mode ◽  
Dielectric Antennas ◽  
Antenna Systems

Antennas are crucial elements for wireless technologies, communications and power transfer across the entire spectrum of electromagnetic waves, including radio, microwaves, THz and optics. In this paper, we review our recent achievements in two promising areas: coherently enhanced wireless power transfer (WPT) and superdirective dielectric antennas. We show that the concept of coherently enhanced WPT allows improvement of the antenna receiving efficiency by coherent excitation of the outcoupling waveguide with a backward propagating guided mode with a specific amplitude and phase. Antennas with the superdirectivity effect can increase the WPT system’s performance in another way, through tailoring of radiation diagram via engineering antenna multipoles excitation and interference of their radiation. We demonstrate a way to achieve the superdirectivity effect via higher-order multipoles excitation in a subwavelength high-index spherical dielectric resonator supporting electric and magnetic Mie multipoles. Thus, both types of antenna discussed here possess a coherent nature and can be used in modern intelligent antenna systems.

Reflection of Electromagnetic Waves from Multiferroic TbMnO3

2012 ◽  
Vol 77 ◽  
pp. 225-230
Author(s):  
Igor V. Bychkov ◽  
Dmitry A. Kuzmin ◽  
Sergei J. Lamekhov ◽  
Leonid N. Butko ◽  
Vladimir G. Shavrov
Keyword(s):  
Reflection Coefficient ◽  
Electromagnetic Waves ◽  
Band Gaps ◽  
Electromagnetic Interactions ◽  
Coefficient Of Reflection

Reflection coefficient of electromagnetic waves from TbMnO3 surface with sinusoidal structure and permittivity are examined. Model of material with spin, elastic and electromagnetic interactions used. Resonance kind of reflection coefficient and of permittivity was shown. Found spectrum and reasoned existing of band-gaps in coefficient of reflection.

PHOTONIC GAPS IN PERIODIC DIELECTRIC STRUCTURES

1992 ◽  
Vol 06 (03) ◽  
pp. 139-144 ◽  
Author(s):  
C.T. CHAN ◽  
K.M. HO ◽  
C.M. SOUKOULIS
Keyword(s):  
Plane Wave ◽  
Electromagnetic Waves ◽  
Expansion Method ◽  
Dielectric Materials ◽  
Band Gaps ◽  
Plane Wave Expansion ◽  
Photonic Band Gaps ◽  
Plane Wave Expansion Method ◽  
Dielectric Structures ◽  
Photonic Band

Using a plane wave expansion method, we solved the Maxwell’s equations for the propagation of electromagnetic waves inside periodic dielectric materials, and found the existence of photonic band gaps in several classes of periodic dielectric structures.

Parametric oscillation of electromagnetic waves in momentum band gaps of a spatiotemporal crystal

2020 ◽  
Author(s):  
Seo-Joo Lee ◽  
Jagang Park ◽  
Hyukjoon Cho ◽  
Bumki Min ◽  
Yifan Wang ◽  
...  
Keyword(s):  
Electromagnetic Waves ◽  
Band Gaps ◽  
Parametric Oscillation

scholarly journals Guiding, bending, and splitting of electromagnetic waves in highly confined photonic crystal waveguides

2001 ◽  
Vol 63 (8) ◽  
Author(s):  
Mehmet Bayindir ◽  
E. Ozbay ◽  
B. Temelkuran ◽  
M. M. Sigalas ◽  
C. M. Soukoulis ◽  
...  
Keyword(s):  
Photonic Crystal ◽  
Electromagnetic Waves ◽  
Photonic Crystal Waveguides

Stability of strong electromagnetic waves in overdense plasmas

1982 ◽  
Vol 27 (2) ◽  
pp. 239-259 ◽  
Author(s):  
F. J. Romeiras
Keyword(s):  
Nonlinear Waves ◽  
Electromagnetic Waves ◽  
Longitudinal Direction ◽  
Electron Plasma ◽  
Cold Electron ◽  
Small Perturbations ◽  
Circularly Polarized ◽  
Instability Growth ◽  
Linear Differential ◽  
The Stability

We consider the stability against small perturbations of a class of exact wave solutions of the equations that describe an unmagnetized relativistic cold electron plasma. The main feature of these nonlinear waves is a transverse circularly polarized electric field with periodic amplitude modulation in the longitudinal direction. Floquet's theory of linear differential equations with periodic coefficients is used to solve the perturbation equations and obtain the instability growth rates.

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