Propagation of Electromagnetic Waves in Anisotropic Photonic Structures

Fesenko, Volodymyr I.; Sukhoivanov, Igor A.; Shulga, S. N.; Lucio, José Andrade

doi:10.5772/54847

Cited by 4 publications

(4 citation statements)

References 38 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…(31) , is exact. Many authors rely on numerical methods 4 9 26 48 49 50 in order to analyze complicated phenomena of light propagation in time-varying plasma. However, we no longer need numerical simulation in case it is possible to know exact analytical solutions.…”

Section: Resultsmentioning

confidence: 99%

“…The current mainstream of the research for the properties of light propagation in complex time-varying media is to use numerical methods such as the FDTD method 4 9 26 , the TMM (transfer matrix method) 48 , the BPM (beam propagation methods) 26 49 , and the FEM (finite element method) 50 . However, in principle, numerical simulation is a second alternative chosen when we are unable to find analytical solutions.…”

Section: Discussionmentioning

confidence: 99%

See 1 more Smart Citation

A novel method for analyzing complicated quantum behaviors of light waves in oscillating turbulent plasma

Choi

2014

Sci Rep

View full text Add to dashboard Cite

Quantum dynamics of light waves traveling through a time-varying turbulent plasma is investigated via the SU(1,1) Lie algebraic approach. Plasma oscillations that accompany time-dependence of electromagnetic parameters of the plasma are considered. In particular, we assume that the conductivity of plasma involves a sinusoidally varying term in addition to a constant one. Regarding the time behavior of electromagnetic parameters in media, the light fields are modeled as a modified CK (Caldirola-Kanai) oscillator that is more complex than the standard CK oscillator. Diverse quantum properties of the system are analyzed under the consideration of time-dependent characteristics of electromagnetic parameters. Quantum energy of the light waves is derived and compared with the counterpart classical energy. Gaussian wave packet of the field whose probability density oscillates with time like that of classical states is constructed through a choice of suitable initial condition and its quantum behavior is investigated in detail. Our development presented here provides a useful way for analyzing time behavior of quantized light in complex plasma.

show abstract

Section: Resultsmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

A novel method for analyzing complicated quantum behaviors of light waves in oscillating turbulent plasma

Choi

2014

Sci Rep

View full text Add to dashboard Cite

show abstract

“…In order to consider a more realistic model of Bragg reflection waveguides with a finite extent of multilayer mirrors among other purely numerical simulations based on propagation methods [11,12], in the one-dimensional case the transfer matrix formalism [13] is widely used which assumes matching the boundary conditions at interfaces between high-and low-index layers and enables one to derive an analytic solution on this basis. Although the latter method is only applicable for simple configurations of Bragg reflection waveguides, in many cases it allows to offer deep physical insight into the problem.…”

Section: Introductionmentioning

confidence: 99%

Dispersion properties of a nanophotonic Bragg waveguide with finite aperiodic cladding

Fesenko,

Tuz,

Shulika

et al. 2015

Preprint

View full text Add to dashboard Cite

A comprehensive analysis of guided modes of a novel type of a planar Bragg reflection waveguide which consists of a low refractive index guiding layer sandwiched between two finite aperiodic mirrors is presented. The layers in the mirrors are aperiodically arranged according to the Kolakoski substitution rule. In such a waveguide light is confined inside the core by Bragg reflection from the mirrors, while dispersion characteristics of guided modes strongly depend on aperiodicity of the cladding. Using the transfer matrix formalism bandgap conditions, dispersion characteristics and mode profiles of the guided modes of such Bragg reflection waveguide are studied.

show abstract

“…In order to consider a more realistic model of Bragg reflection waveguides with a finite extent of multilayered mirrors, among other purely numerical simulations based on propagation methods [12,13], in the one-dimensional case, the transfer matrix formalism [14] is widely used, which assumes matching the boundary conditions at interfaces between high-and low-index layers and enables one to derive an analytic solution on this basis. Although the latter method is only applicable for simple configurations of Bragg reflection waveguides, in many cases, it allows to offer deep physical insight into the problem.…”

mentioning

confidence: 99%

Dispersion properties of Kolakoski-cladding hollow-core nanophotonic Bragg waveguide

et al. 2016

View full text Add to dashboard Cite

A comprehensive analysis of guided modes of a novel type of a planar Bragg reflection waveguide that consists of a low refractive index guiding layer sandwiched between two finite aperiodic mirrors is presented. The layers in the mirrors are aperiodically arranged according to the Kolakoski substitution rule. In such a waveguide, light is confined inside the core by Bragg reflection, while dispersion characteristics of guided modes strongly depend on aperiodicity of the cladding. Using the transfer matrix formalism bandgap conditions, dispersion characteristics and mode profiles of the guided modes of such a waveguide are studied on the GaAs/AlAs and Si/SiO 2 epitaxial platforms, which are compatible with hybrid and heteroepitaxial frameworks of silicon photonics.

show abstract

Propagation of Electromagnetic Waves in Anisotropic Photonic Structures

Cited by 4 publications

References 38 publications

A novel method for analyzing complicated quantum behaviors of light waves in oscillating turbulent plasma

A novel method for analyzing complicated quantum behaviors of light waves in oscillating turbulent plasma

Dispersion properties of a nanophotonic Bragg waveguide with finite aperiodic cladding

Dispersion properties of Kolakoski-cladding hollow-core nanophotonic Bragg waveguide

Contact Info

Product

Resources

About