Question

中文翻译成英文

请高手翻译下段论文开头：‘光子晶体的能带概念及计算方法

安徽示范大学物电学院

摘 要：本文介绍光子晶体能带概念以及计算光子晶体能带结构的主要方法，首先介绍的是平面波展开法PWM， PWM具有原理简单、计算编程方便、运算速度快等突出优点，是目前应用最广的能带计算方法。其次介绍的是时域有限差分法FDTD，其计算效率比PWM高，而且可以进行时域仿真，动态地显示光的传播行为，因此这种方法逐渐成为了光子晶体研究的主流计算手段。最后简要介绍其他数值计算方法，如有限元方法FEM，传输矩阵法, N阶(Order-N)法等等。
关键词：光子晶体能带；平面波展开法（PWM）；有限时域差分法（FDTD）；有限元法（FEM）’

Answer 1

Anhui University of complex electric Model Institute

Abstract: This paper introduces the concept of photonic crystals and to calculate the energy-band photonic crystal band structure of the main methods, first of all introduce the plane wave expansion method are PWM, PWM has the principle of simple calculation of programming convenience, such as computing speed quickly highlight the advantages, is the most wide energy band calculation. Introduction is followed by finite difference time domain method FDTD, the computational efficiency than the PWM, and it can be time-domain simulation, dynamic show the spread of optical behavior, so this method has gradually become the mainstream of photonic crystal research computing means. Finally a brief introduction to other numerical methods, such as finite element method FEM, transfer matrix method, N-order (Order-N) method and so on.
Key words: photonic crystal band; plane wave expansion method (PWM); finite-difference time-domain (FDTD); finite element method (FEM) '
安徽示范大学物电学院

摘 要：本文介绍光子晶体能带概念以及计算光子晶体能带结构的主要方法，首先介绍的是平面波展开法PWM， PWM具有原理简单、计算编程方便、运算速度快等突出优点，是目前应用最广的能带计算方法。其次介绍的是时域有限差分法FDTD，其计算效率比PWM高，而且可以进行时域仿真，动态地显示光的传播行为，因此这种方法逐渐成为了光子晶体研究的主流计算手段。最后简要介绍其他数值计算方法，如有限元方法FEM，传输矩阵法, N阶(Order-N)法等等。
关键词：光子晶体能带；平面波展开法（PWM）；有限时域差分法（FDTD）；有限元法（FEM）’

Answer 2

Photonic crystal energy band concept and calculation method

Anhui Normal University, Institute of Physical Electronics

Abstract: This paper introduces the concept of photonic crystals and to calculate the energy-band photonic crystal band structure of the main methods, first of all introduce the plane wave expansion method are PWM, PWM has the principle of simple calculation of programming convenience, such as computing speed quickly highlight the advantages, is the most wide energy band calculation. Introduction is followed by finite difference time domain method FDTD, the computational efficiency than the PWM, and it can be time-domain simulation, dynamic show the spread of optical behavior, so this method has gradually become the mainstream of photonic crystal research computing means. Finally a brief introduction to other numerical methods, such as finite element method FEM, transfer matrix method, N-order (Order-N) method and so on.
Key words: photonic crystal band; plane wave expansion method (PWM); finite-difference time-domain (FDTD); finite element method (FEM) '

Answer 3

This paper introduces the concept of photonic crystals and to calculate the energy-band photonic crystal band structure of the main methods, first of all introduce the plane wave expansion method are PWM, PWM has the principle of simple calculation of programming convenience, speed of operation, such as quick to highlight the merits of the application are currently the most widely energy band calculation. Introduction is followed by finite difference time domain method FDTD, the computational efficiency than the PWM, and it can be time-domain simulation, dynamic show the spread of optical behavior, so this method has gradually become the mainstream of photonic crystal research computing means. Finally a brief introduction to other numerical methods, such as finite element method FEM, transfer matrix method, N-order (Order-N) method and so on.

Answer 4

This article introduced that the photonic crystal can have the concept as well as the computation photonic crystal energy structure main method, what first introduced is plane wave method of development PWM, PWM has the principle to be simple, the computation programming is convenient, operating speed quick and so on prominent merit, is applies broadly at present can have the computational method. What next introduction is time domain finite difference method FDTD, its computation efficiency ratio PWM is high, moreover may carry on the time domain simulation, dynamic demonstrates the light the dissemination behavior, therefore this method has become the photonic crystal research mainstream computation method gradually. Finally introduces other numerical calculus method briefly, like finite element method FEM, transmission matrix technique, Njie(Order-N) law and so on. key word: The photonic crystal can bring; Plane wave method of development (PWM); Limited time domain method of difference (FDTD); Finite element method (FEM) '