Application of fast Pade approximation in simulating photonic crystal nanocavities by FDTD technology

2008 ◽  
Vol 281 (10) ◽  
pp. 2774-2778 ◽  
Author(s):  
Yejin Zhang ◽  
Wanhua Zheng ◽  
Mingxin Xing ◽  
Gang Ren ◽  
Hailing Wang ◽  
...  
Keyword(s):  
Photonic Crystal ◽  
Padé Approximation ◽  
Pade Approximation

scholarly journals Application of Fourier-Padé Approximation in Analysis οf Holographic Photonic Crystal Structures

2009 ◽  
Vol 116 (4) ◽  
pp. 647-648 ◽  
Author(s):  
D. Sevic ◽  
S. Savic-Sevic ◽  
D. Pantelic ◽  
B. Jelenkovic ◽  
B.P. Marinkovic
Keyword(s):  
Photonic Crystal ◽  
Crystal Structures ◽  
Padé Approximation ◽  
Pade Approximation

Modeling of Rails Expressed using Pade Approximation Considering Frequency Dependent Effect

2017 ◽  
Vol 137 (2) ◽  
pp. 147-153
Author(s):  
Akinori Hori ◽  
Hiroki Tanaka ◽  
Yuichiro Hayakawa ◽  
Hiroshi Shida ◽  
Keiji Kawahara ◽  
...  
Keyword(s):  
Padé Approximation ◽  
Pade Approximation ◽  
Frequency Dependent ◽  
Dependent Effect

scholarly journals A New Approach of Asymmetric Homoclinic and Heteroclinic Orbits Construction in Several Typical Systems Based on the Undetermined Padé Approximation Method

2016 ◽  
Vol 2016 ◽  
pp. 1-10
Author(s):  
Jingjing Feng ◽  
Qichang Zhang ◽  
Wei Wang ◽  
Shuying Hao
Keyword(s):  
Dynamic Systems ◽  
Approximation Method ◽  
Padé Approximation ◽  
Global Bifurcation ◽  
Heteroclinic Orbits ◽  
Symmetric System ◽  
Pade Approximation ◽  
New Approach ◽  
Homoclinic And Heteroclinic Orbits ◽  
Single Orbit

In dynamic systems, some nonlinearities generate special connection problems of non-Z2symmetric homoclinic and heteroclinic orbits. Such orbits are important for analyzing problems of global bifurcation and chaos. In this paper, a general analytical method, based on the undetermined Padé approximation method, is proposed to construct non-Z2symmetric homoclinic and heteroclinic orbits which are affected by nonlinearity factors. Geometric and symmetrical characteristics of non-Z2heteroclinic orbits are analyzed in detail. An undetermined frequency coefficient and a corresponding new analytic expression are introduced to improve the accuracy of the orbit trajectory. The proposed method shows high precision results for the Nagumo system (one single orbit); general types of non-Z2symmetric nonlinear quintic systems (orbit with one cusp); and Z2symmetric system with high-order nonlinear terms (orbit with two cusps). Finally, numerical simulations are used to verify the techniques and demonstrate the enhanced efficiency and precision of the proposed method.

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