Exact band structure for the scalar wave equation with periodic complex moduli

Milton GW.

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Exact band structure for the scalar wave equation with periodic complex moduli

机译：具有周期复模量的标量波方程的精确能带结构

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An exact formula for the band structure for the scalar wave equation is found for a certain class of periodic media. These media have the special property that the spatially fluctuating part of their complex moduli, when Fourier transformed, vanishes in half of Fourier space. As a result the band structure is proved to be exactly the same as for a homogeneous medium, except possibly for the highest bands. (C) 2003 Elsevier B.V. All rights reserved. [References: 6]

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《Physica, B. Condensed Matter》 |2003年第4期|共4页
作者
Milton GW.;
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正文语种 eng
中图分类物理学;
关键词
Dispersion relation; Band structure; Exact results;

机译：色散关系;能带结构;精确结果;

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专利

1. Exact band structure for the scalar wave equation with periodic complex moduli [J] . Milton GW. Physica, B. Condensed Matter . 2003,第1a4期

机译：具有周期复模量的标量波方程的精确能带结构
2. Variational Approach To Studying Solitary Waves In The Nonlinear Schrodinger Equation With Complex Potentials, Spatially Periodic Potentials With The Periods Of The Real And Imaginary Part, Wormholes, The Weak Energy Condition, And Scalar-Tensor Gravity, [J] . K.N.P. Kumar Advances in Physics Theories and Applications . 2013,第2期

机译：研究具有复杂势，空间周期势（具有实部和虚部），孔眼，弱能量条件和标量张量引力的非线性Schrodinger方程中的孤波的变分方法，
3. New exact double periodic wave and complex wave solutions for a generalized sinh–Gordon equation [J] . Bin He, Weiguo Rui, Yao Long Applied mathematics and computation . 2014,第Null期

机译：广义Sinh-Gordon方程的新精确双周期波和复波解
4. Traveling wave exact solutions for nonlinear coupled scalar field equations [C] . DongBo Cao, JiaRen Yan International Conference on Advanced Engineering Materials and Technology . 2011

机译：非线性耦合标量场方程的旅行波精确解决方案
5. Integral equation analysis of electromagnetic wave propagation in periodic structure and error analysis of various basis functions in projection of plane waves. [D] . Hu, Fu-Gang. 2010

机译：周期结构中电磁波传播的积分方程分析和平面波投影中各种基函数的误差分析。
6. Tunable band-gap structure and gap solitons in the generalized Gross-Pitaevskii equation with a periodic potential [O] . Changming Huang, Liangwei Dong -1

机译：具有周期势的广义Gross-Pitaevskii方程中的可调谐带隙结构和带隙孤子
7. Massive complex scalar field in the Kerr-Sen geometry: Exact solution of wave equation and Hawking radiation [O] . Wu, S Q, Cai, X 2003

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Exact band structure for the scalar wave equation with periodic complex moduli

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