Universal method to describe multiple localized modes in photonic crystal heterojunction

2021 ◽  
pp. 2150365
Author(s):  
Shu-Jie Chen ◽  
Li-Ming Zhao ◽  
Yun-Song Zhou ◽  
Gong-Min Wei
Keyword(s):  
Photonic Crystal ◽  
Energy Levels ◽  
Finite Energy ◽  
Interface States ◽  
Universal Method ◽  
Practical Application ◽  
One Dimensional ◽  
Finite Configuration ◽  
General Method ◽  
Unit Formula

A general method is proposed to describe the energy levels of the interface states in one-dimensional photonic crystal (PC) heterojunction [Formula: see text] containing dispersive or non-dispersion materials. We found that the finite energy levels of the interface states for the finite configuration can be described totally by the dispersion relation of the PC with a periodic unit [Formula: see text]. It is further found that this method is also applicable for the case of defect modes. We believe our method can be used to guide the practical application.

Behaviors of the multiple interface states in photonic crystal heterostructure with frequency-dependent dielectric functions

2020 ◽  
pp. 2150053
Author(s):  
Xun Cui ◽  
Li-Ming Zhao ◽  
Yun-Song Zhou ◽  
Hai-Tao Yan
Keyword(s):  
Photonic Crystal ◽  
Dirac Point ◽  
Incident Angle ◽  
Energy Levels ◽  
Interface State ◽  
Interface States ◽  
Defect Band ◽  
Multiple Interface ◽  
Photonic Crystal Heterostructure ◽  
Sinusoidal Function

In this paper, Dirac point method is used to study the interface state of one-dimensional photonic crystal heterojunction [Formula: see text] containing dispersive materials GaAs. We found that the energy levels of the interface states satisfy a simple sinusoidal function. We investigate the variation of the energy levels of the interface states with the incident angle, it is found that these interface states move toward high-frequency with the increase of the incident angle. At the same time, it is found that there is an extra localized band and it is further proved that the extra band corresponds to the defect band, and the energy levels of the defect band possess the same behavior with those of interface states.

Toward the Integration of Photonic Crystals with Optical Fiber

2001 ◽  
Vol 694 ◽  
Author(s):  
Y. Suzuki ◽  
Lu Chen ◽  
Glenn E. Kohnke
Keyword(s):  
Photonic Crystal ◽  
Simple Model ◽  
Photonic Crystals ◽  
Optical Fiber ◽  
Optical Communications ◽  
Energy Levels ◽  
One Dimensional ◽  
Dielectric Interfaces ◽  
Silicon Based ◽  
Insertion Losses

AbstractWe have developed a novel silicon platform where light from optical fiber is coupled directly into and out of silicon-based photonic crystal structures with over 30dB suppression of transmission from 1400nm to 1700nm and defect energy levels tuned to within 2nm in the bandgap. Insertion losses as low as 3.5dB have been achieved. The optical spectra of our one-dimensional silicon-based photonic crystals can be quantitatively described by a simple model of light incident on a series of dielectric interfaces. The agreement between experiment and simulation and the low insertion losses are promising for the future integration of photonic crystals into optical communications.

A NEW SUPERSYMMETRIC VERSION OF THE ABRAHAM-MOSES METHOD FOR SYMMETRIC POTENTIALS

1996 ◽  
Vol 08 (05) ◽  
pp. 655-668
Author(s):  
J. CASAHORRÁN
Keyword(s):  
Hilbert Space ◽  
Energy Levels ◽  
Wave Functions ◽  
Symmetric Potential ◽  
One Dimensional ◽  
Supersymmetric Version ◽  
Discrete And Continuous Spectra ◽  
The One ◽  
Original Potential ◽  
General Method

Starting from the one-dimensional Schrodinger equation with symmetric potential Vs(x), a general method is presented in order to obtain a family of partially isospectral hamiltonians. Arguments concerning supersymmetric transformations, factorization procedures and Riccati equations are invoked along the article. As a result of the appearance of singular superpotentials, the physical meaning of our method can be summarized as follows: only the odd wave-functions of the original potential Vs(x) are transported via supersymmetry into the Hilbert space associated with the partner Vp(x). In such a case the degeneracy of energy levels is partially broken. Supersymmetry is neither exact nor spontaneously broken but realizes itself acting on wave functions vanishing at x=0. While the domain of the original hamiltonian H extends along the whole real axis, the susy partner Hp reduces to the half-line (x≤0 or x≥0). To illustrate how the procedure works in practice we resort to a symmetric potential in the Posch-Teller class containing both discrete and continuous spectra.

Peak, multi-peak and broadband absorption in graphene-based one-dimensional photonic crystal

2014 ◽  
Vol 330 ◽  
pp. 135-139 ◽  
Author(s):  
R. Miloua ◽  
Z. Kebbab ◽  
F. Chiker ◽  
M. Khadraoui ◽  
K. Sahraoui ◽  
...  
Keyword(s):  
Photonic Crystal ◽  
One Dimensional ◽  
Broadband Absorption ◽  
Dimensional Photonic Crystal
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