scholarly journals Analysis of wave propagation in a two-dimensional photonic crystal with negative index of refraction: plane wave decomposition of the Bloch modes

2005 ◽  
Vol 13 (11) ◽  
pp. 4160 ◽  
Author(s):  
Alejandro Martínez ◽  
Hernán Míguez ◽  
José Sánchez-Dehesa ◽  
Javier Martí
Keyword(s):  
Wave Propagation ◽  
Photonic Crystal ◽  
Plane Wave ◽  
Index Of Refraction ◽  
Two Dimensional ◽  
Plane Wave Decomposition ◽  
Negative Index Of Refraction ◽  
Wave Decomposition ◽  
Two Dimensional Photonic Crystal ◽  
Bloch Modes

Investigating Fill Factor Effect on Brillouin Zone of Metamaterial-based 2D Photonic Crystal

2021 ◽  
Vol 13 ◽  
Author(s):  
Arpan Deyasi ◽  
Ratul Ghosh ◽  
Papri Chakraborty ◽  
Anwesha Adhikary ◽  
Angsuman Sarkar
Keyword(s):  
Crystal Structure ◽  
Wave Propagation ◽  
Photonic Crystal ◽  
Plane Wave ◽  
Brillouin Zone ◽  
Fill Factor ◽  
Negative Permittivity ◽  
Two Dimensional ◽  
Bandgap Width ◽  
Two Dimensional Photonic Crystal

: Fill factor in the negative permittivity materials are tailored within physically permissible limit to characterize the Brillouin zone for two-dimensional crystal under propagation of both s and p-polarized waves. Two lowermost bandgaps are computed along with corresponding midband frequencies, where plane wave expansion method is invoked for computational purpose. Rectangular geometrical shape is considered for the simulation, and all the results are calculated inside the ‘Γ’ point and ‘X’ point of first Brillouin zone. Simulated findings depict monotonous variations of both bandgap width as well as midband frequency for higher negative permittivity materials, when magnitude of fill factor is comparatively low, for both TE (Transverse Electric)and TM (Transverse Magnetic)mode of propagations. Lower negative permittivity leads to random fluctuations which makes it unsuitable for photonic component design. Multiple forbidden regions may be observed for some specific artificial materials which can be utilized in antenna or multi-channel filter design in higher THz region. Aims: The present paper aims to compute the shape of the first Brillouin zone from the fill factor for a two-dimensional photonic crystal structure. Background: EBG (Electromagnetic Band gap) of a photonic crystal plays a major role in determining its candidature for optical applications, which is critically controlled by fill factor. Therefore, it is significant to investigate the effect of F.F on the wave propagation characteristics of 2D PhC(Two-dimensional photonic crystal). Objective: Investigation of metamaterial based photonic crystal structure for electromagnetic bandgap analysis in the desired spectrum of interest as a function of fill factor inside the first Brillouin zone Method:Maxwell’s equations are solved using plane wave propagation method to solve the problem, and simulation is carried out in MATLAB® software. Result: Both the first and second photonic bandgaps are simultaneously computed with variation of refractive index differences of the constituent materials as well as with the fill factors. Results are extremely significant about the formation of narrowband and wideband filters on certain material combinations and structural designs. Conclusion: Better tenability is observed for metamaterial structure compared to conventional positive index materials, and fill factor has a great role in shaping the Brillouin zone and corresponding bandgap width.

All-optical bistable band-edge Bloch modes in a two-dimensional photonic crystal

2006 ◽  
Vol 88 (23) ◽  
pp. 231107 ◽  
Author(s):  
A. M. Yacomotti ◽  
F. Raineri ◽  
G. Vecchi ◽  
P. Monnier ◽  
R. Raj ◽  
...  
Keyword(s):  
Photonic Crystal ◽  
Band Edge ◽  
Two Dimensional ◽  
Dimensional Photonic Crystal ◽  
All Optical ◽  
Two Dimensional Photonic Crystal ◽  
Bloch Modes

Coupling between refractive waveguides and two dimensional photonic crystal Bloch modes

2008 ◽  
Author(s):  
Emmanuel Drouard ◽  
Lydie Ferrier ◽  
Xavier Letartre ◽  
Pedro Rojo-Romeo ◽  
Pierre Viktorovitch
Keyword(s):  
Photonic Crystal ◽  
Two Dimensional ◽  
Dimensional Photonic Crystal ◽  
Two Dimensional Photonic Crystal ◽  
Bloch Modes
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