Perfectly matched layer absorbing boundary conditions in rigorous vector analysis of axially symmetric diffractive optical elements

2003 ◽  
Vol 223 (1-3) ◽  
pp. 39-45 ◽  
Author(s):  
Yuling Liu ◽  
Zhenwu Lu ◽  
Zhibin Ren ◽  
Fenyou Li ◽  
Zhaoliang Cao
Keyword(s):  
Boundary Conditions ◽  
Perfectly Matched Layer ◽  
Absorbing Boundary Conditions ◽  
Vector Analysis ◽  
Diffractive Optical Elements ◽  
Axially Symmetric ◽  
Absorbing Boundary ◽  
Optical Elements

Modified Unsplitted Perfectly Matched Layer Absorbing Boundary Conditions for Truncating Anisotropic Medium

2014 ◽  
Vol 900 ◽  
pp. 386-389
Author(s):  
Zhi Chao Cai ◽  
Li Xia Yang ◽  
Hao Chuan Deng ◽  
Xiao Wei ◽  
Hong Cheng Yin
Keyword(s):  
Boundary Conditions ◽  
Anisotropic Medium ◽  
Electromagnetic Wave Propagation ◽  
Simulation Analysis ◽  
Perfectly Matched Layer ◽  
Absorbing Boundary Conditions ◽  
Absorbing Boundary ◽  
One Dimensional ◽  
Derivatives Of ◽  
Difference Time

To simulate Electromagnetic wave propagation in anisotropic media, absorbing boundary conditions are needed to truncate the computation domains. Based on the finite difference time domain method in anisotropic medium, the implementation of the modified nearly perfectly matched layer absorbing boundary conditions for truncating anisotropic medium is presented. By using the partial derivatives of space variables stretched-scheme in the coordinate system, the programming complexity is reduced greatly. According to one dimensional numerical simulation analysis, the modified nearly perfectly matched layer absorbing boundary condition is validated.

Limit Of Phase Only Approach In Micro–Lens Design

2012 ◽  
Author(s):  
Ali Jebelli ◽  
Ruzairi Abdul Rahim ◽  
Seyed H. Kazemi
Keyword(s):  
Focal Length ◽  
Fdtd Method ◽  
Absorbing Boundary Conditions ◽  
Lens Design ◽  
Diffractive Optical Elements ◽  
Absorbing Boundary ◽  
Optical Elements ◽  
Perfect Matched Layer ◽  
Difference Time ◽  
Micro Lens

Phase only approach (POA) is generally used to analyze diffractive optical elements (DOEs) such as micro–lenses. We used 3–D finite difference time domain (FDTD) method with perfect matched layer (PML) absorbing boundary conditions to test several micro–lenses that were designed based on phase only approach to evaluate the accuracy of this approach. It is shown that if the focal length is greater than 80λ and 25λ for 2π and 4π phase resets, respectively, the error in the main lobe diffraction efficiency will be less than 10%. Key words: Phase only approach (POA); diffractive optical elements (DOEs); micro–lens

Wave Equation Simulation by Finite-Element Method with Perfectly Matched Layer

2012 ◽  
Vol 524-527 ◽  
pp. 96-100 ◽  
Author(s):  
Hong Wei Guo ◽  
Shang Xu Wang ◽  
Nai Chuan Guo ◽  
Wei Chen
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Boundary Conditions ◽  
Perfectly Matched Layer ◽  
Absorbing Boundary Conditions ◽  
Absorption Effect ◽  
Absorbing Boundary ◽  
The One ◽  
First Time ◽  
Element Method

In numerical simulation, the treatment of boundary conditions is of great significance. In this paper, we have deduced the one order governing equations of the acoustic wave finite-element method with perfectly matched layer (PML) for the first time. The one order equations are easier to realize than the two order form and have a good absorption effect. Then, we have analyzed the absorption effect of the absorbing boundary conditions (ABCs) and the PML. Finally, we get some useful conclusions.

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