scholarly journals Effects of the cosine complex variable function on the Airy-Gaussian and Airy-Gaussian-vortex beams in a chiral medium

OSA Continuum ◽  
2019 ◽  
Vol 2 (2) ◽  
pp. 424 ◽  
Author(s):  
Jintao Xie ◽  
Kuangling Guo ◽  
Feng Ye ◽  
Shijie Chen ◽  
Xiaolin Wu ◽  
...  
Keyword(s):  
Complex Variable ◽  
Chiral Medium ◽  
Complex Variable Function ◽  
Variable Function ◽  
Vortex Beams

Complex-variable-function–Gaussian solitons

2008 ◽  
Vol 34 (1) ◽  
pp. 43 ◽  
Author(s):  
Dongmei Deng ◽  
Qi Guo ◽  
Wei Hu
Keyword(s):  
Complex Variable ◽  
Complex Variable Function ◽  
Variable Function ◽  
Gaussian Solitons

STUDY ON ELASTIC ANALYSIS OF CRACK PROBLEM OF TWO-DIMENSIONAL DECAGONAL QUASICRYSTALS OF POINT GROUP 10, $\overline {10}$

2009 ◽  
Vol 23 (16) ◽  
pp. 1989-1999 ◽  
Author(s):  
WU LI ◽  
TIAN YOU FAN
Keyword(s):  
Complex Variable ◽  
Point Group ◽  
Crack Problem ◽  
Plane Elasticity ◽  
Two Dimensional ◽  
Partial Differential ◽  
Decagonal Quasicrystal ◽  
Complex Variable Function ◽  
Variable Function ◽  
Group 10

By introducing a stress potential function, we transform the plane elasticity equations of two-dimensional quasicrystals of point group 10, [Formula: see text] to a partial differential equation. And then we use the complex variable function method for classical elasticity theory to that of the quasicrystals. As an example, a decagonal quasicrystal in which there is an arc is subjected to a uniform pressure p in the elliptic notch of the decagonal quasicrystal is considered. With the help of conformal mapping, we obtain the exact solution for the elliptic notch problem of quasicrystals. The work indicates that the stress potential and complex variable function methods are very useful for solving the complicated boundary value problems of higher order partial differential equations which originate from quasicrystal elasticity.

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