scholarly journals Application of the Mathieu’s equation for a design of a photonic crystal supporting surface electromagnetic waves

2015 ◽  
Vol 4 (3) ◽  
pp. 17
Author(s):  
E. Rostova ◽  
G. Dietler ◽  
S. K. Sekatskii
Keyword(s):  
Differential Equation ◽  
Refractive Index ◽  
Photonic Crystal ◽  
Electromagnetic Waves ◽  
Light Propagation ◽  
Multilayer Structures ◽  
Supporting Surface ◽  
Mathieu’S Equation ◽  
Fundamental Understanding ◽  
Surface Electromagnetic Waves

Nowadays, unique characteristics of surface electromagnetic waves, particularly, surface plasmons supported by a specially designed photonic crystal find numerous applications. We propose to exploit an evident analogy between such a photonic crystal and a structure with a sine-modulated refractive index. The light propagation inside the latter is described by the famous Mathieu’s differential equation. This application of the Mathieu’s equation can be useful for a design of multilayer structures, and also for fundamental understanding of electromagnetic phenomena in inhomogeneous media.

scholarly journals Near-field analysis of surface electromagnetic waves in the bandgap region of a polymeric grating written on a one-dimensional photonic crystal

2008 ◽  
Vol 93 (6) ◽  
pp. 061108 ◽  
Author(s):  
Tristan Sfez ◽  
Emiliano Descrovi ◽  
Lorenzo Dominici ◽  
Wataru Nakagawa ◽  
Francesco Michelotti ◽  
...  
Keyword(s):  
Photonic Crystal ◽  
Electromagnetic Waves ◽  
Near Field ◽  
Field Analysis ◽  
One Dimensional ◽  
Dimensional Photonic Crystal ◽  
Surface Electromagnetic Waves

scholarly journals Effect of Geometry on the Electromagnetic Wave Transport Properties of Photonic Crystals: Comparison of Top-Flat and Top-Curved Refractive Index Profiles

2021 ◽  
Author(s):  
M. Solaimani ◽  
malihe nejati
Keyword(s):  
Refractive Index ◽  
Electromagnetic Wave ◽  
Photonic Crystal ◽  
Photonic Crystals ◽  
Light Propagation ◽  
Refractive Index Profile ◽  
Physical Parameters ◽  
Index Profile ◽  
Wave Transport ◽  
Photonic Band

Abstract In the current paper, we try to engineer the refractive index profile in a one-dimensional photonic crystal as a powerful tool to manage the electromagnetic wave transmission properties. For this purpose, we have compared four sinusoidal, rectangular, triangular, and saw-tooth refractive index profile types. In this way, we have used a transfer matrix method accompanied by the discretization of the spatial domain. This method can readily be applied to any arbitrary continuous refractive index profile. Then, we have tried to address the effects of different geometrical and physical parameters, including the photonic crystal length L, dielectric permittivity εd, number of layers and plasma density np, etc. on the light propagation through the mentioned photonic crystals. In the proposed two-layer plasma/dielectric photonic crystals we could observe acceptable ranges of Omni-directional photonic band gaps that their position width and their number can be regulated. We determine the most and least tunable systems.

scholarly journals Photonic Crystal Stimuli-Responsive Chromatic Sensors: A Short Review

Micromachines ◽  
2020 ◽  
Vol 11 (3) ◽  
pp. 290 ◽  
Author(s):  
Andrea Chiappini ◽  
Lam Thi Ngoc Tran ◽  
Pablo Marco Trejo-García ◽  
Lidia Zur ◽  
Anna Lukowiak ◽  
...  
Keyword(s):  
Refractive Index ◽  
Photonic Crystal ◽  
Electromagnetic Waves ◽  
Low Cost ◽  
Physical Phenomenon ◽  
Spectral Characteristics ◽  
Three Dimensional ◽  
Short Review ◽  
Optical Measurements ◽  
Energy Harvest

Photonic crystals (PhC) are spatially ordered structures with lattice parameters comparable to the wavelength of propagating light. Their geometrical and refractive index features lead to an energy band structure for photons, which may allow or forbid the propagation of electromagnetic waves in a limited frequency range. These unique properties have attracted much attention for both theoretical and applied research. Devices such as high-reflection omnidirectional mirrors, low-loss waveguides, and high- and low-reflection coatings have been demonstrated, and several application areas have been explored, from optical communications and color displays to energy harvest and sensors. In this latter area, photonic crystal fibers (PCF) have proven to be very suitable for the development of highly performing sensors, but one-dimensional (1D), two-dimensional (2D) and three-dimensional (3D) PhCs have been successfully employed, too. The working principle of most PhC sensors is based on the fact that any physical phenomenon which affects the periodicity and the refractive index of the PhC structure induces changes in the intensity and spectral characteristics of the reflected, transmitted or diffracted light; thus, optical measurements allow one to sense, for instance, temperature, pressure, strain, chemical parameters, like pH and ionic strength, and the presence of chemical or biological elements. In the present article, after a brief general introduction, we present a review of the state of the art of PhC sensors, with particular reference to our own results in the field of mechanochromic sensors. We believe that PhC sensors based on changes of structural color and mechanochromic effect are able to provide a promising, technologically simple, low-cost platform for further developing devices and functionalities.

Two-Dimensional Hybrid Photonic Crystal With Graded Low-Index Using a Nonuniform Voltage

2019 ◽  
Vol 75 (1) ◽  
pp. 65-71
Author(s):  
Behrooz Rezaei ◽  
Ibrahim Halil Giden ◽  
Mohammad Sadegh Zakerhamidi ◽  
Amid Ranjkesh ◽  
Tae-Hoon Yoon
Keyword(s):  
Refractive Index ◽  
Liquid Crystal ◽  
Photonic Crystal ◽  
Light Propagation ◽  
Near Field ◽  
Refractive Index Profile ◽  
Index Structure ◽  
Focal Distance ◽  
Graded Index ◽  
Gradient Refractive Index

AbstractWe proposed a new method for designing graded index lens using liquid crystal infiltration into annular photonic crystals. Applying an external nonuniform voltage in the transverse direction perpendicular to the direction of light propagation yields different orientation of liquid crystal molecules inside the photonic crystal unit cells. As a result, a gradient refractive index was modulated. We numerically investigate focusing properties of the designed graded index structure using plane-wave expansion and finite-difference time-domain methods. The gradient refractive index profile was adjusted by varying the nonuniform voltage excitations, which consequently altered the focal distance of the graded index structure. A wide tuning range of 1856 nm was achieved for focal distance by the proposed graded index structure. This feature can be implemented for planning a flat lens with tunable focal distance based on electro-optic effect. These achievements may have future applications in some optical devices such as near-field imaging and scanning.

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