Subwavelength focusing of a cylindrically symmetric plano-concave lens based on a one-dimensional Thue–Morse photonic quasicrystal

2018 ◽  
Vol 11 (9) ◽  
pp. 092002 ◽  
Author(s):  
Wei Tan ◽  
Exian Liu ◽  
Bei Yan ◽  
Jianlan Xie ◽  
Rui Ge ◽  
...  
Keyword(s):  
One Dimensional ◽  
Cylindrically Symmetric ◽  
Concave Lens ◽  
Photonic Quasicrystal

Behavior of the cutoff frequency in a one-dimensional photonic quasicrystal with an Octonacci sequence

Optik ◽  
2021 ◽  
pp. 167463
Author(s):  
Francis Segovia-Chaves ◽  
Y. Trabelsi ◽  
Valentina Avilés León
Keyword(s):  
Cutoff Frequency ◽  
One Dimensional ◽  
Photonic Quasicrystal

ASYMPTOTICAL SOLUTIONS FOR A VIBRATIONALLY RELAXING GAS

2009 ◽  
Vol 14 (4) ◽  
pp. 423-434 ◽  
Author(s):  
Rajan Arora
Keyword(s):  
High Frequency ◽  
Small Amplitude ◽  
Symmetric Flow ◽  
Van Der Waals Equation ◽  
One Dimensional ◽  
Resonant Wave ◽  
Cylindrically Symmetric ◽  
Geometrical Acoustics ◽  
Basic Equations ◽  
Relaxing Gas

Using the weakly non‐linear geometrical acoustics theory, we obtain the small amplitude high frequency asymptotic solution to the basic equations governing one dimensional unsteady planar, spherically and cylindrically symmetric flow in a vibrationally relaxing gas with Van der Waals equation of state. The transport equations for the amplitudes of resonantly interacting waves are derived. The evolutionary behavior of non‐resonant wave modes culminating into shock waves is also studied.

Cylindrically symmetric travelling fronts in a periodic reaction—diffusion equation with bistable nonlinearity

2015 ◽  
Vol 145 (5) ◽  
pp. 1053-1090 ◽  
Author(s):  
Zhi-Cheng Wang
Keyword(s):  
Wave Speed ◽  
Reaction Diffusion ◽  
Reaction Diffusion Equation ◽  
Qualitative Properties ◽  
One Dimensional ◽  
Cylindrically Symmetric ◽  
Periodic Reaction ◽  
Bistable Nonlinearity ◽  
Travelling Fronts ◽  
Time Periodic

This paper is concerned with the existence, non-existence and qualitative properties of cylindrically symmetric travelling fronts for time-periodic reaction–diffusion equations with bistable nonlinearity in ℝm with m ≥ 2. It should be mentioned that the existence and stability of two-dimensional time-periodic V-shaped travelling fronts and three-dimensional time-periodic pyramidal travelling fronts have been studied previously. In this paper we consider two cases: the first is that the wave speed of a one-dimensional travelling front is positive and the second is that the one-dimensional wave speed is zero. For both cases we establish the existence, non-existence and qualitative properties of cylindrically symmetric travelling fronts. In particular, for the first case we furthermore show the asymptotic behaviours of level sets of the cylindrically symmetric travelling fronts.

scholarly journals Subwavelength focusing of cylindrical vector beams by plano-concave lens based on one dimensional metallic photonic crystal

2014 ◽  
Vol 63 (23) ◽  
pp. 237801
Author(s):  
Zhong Yi ◽  
Xu Ji ◽  
Lu Yun-Qing ◽  
Wang Min-Juan ◽  
Wang Jin
Keyword(s):  
Photonic Crystal ◽  
One Dimensional ◽  
Concave Lens ◽  
Vector Beams ◽  
Metallic Photonic Crystal
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