plane wave solution 中文意思是什麼

plane wave solution 解釋
平面波解
  • plane : n 懸鈴木屬樹木。n 1 平面，水平面，面。2 （知識等的）發達程度，水平，階段。3 【航空】機翼面；〈常 ...
  • wave : n 〈美海軍〉女志願軍人〈見 WAVES 條〉。n 1 波浪；碎浪； 〈the wave（s）〉 〈詩〉海。2 波動；波狀...
  • solution : n. 1. 溶解；溶液，溶體，溶劑。2. （補輪胎用的）橡膠水；〈美國〉藥水。3. 解決，解答 （of; for; to）; 解釋；（數學等的）解法，解式。4. 免除，解除。5. 【醫學】消散，消退。
  1. The most achievement is that we firstly obtain the analytic accurate solution of the modal fields of the waveguide structure and find some available character : ( 1 ) the different uniaxial crystal materials have the different propagation properties ; ( 2 ) when the optical axis of the crystal is on the plane that is made up of the normal direction of the waveguide plane and the propagation, there are te mode and tm mode in this special waveguide, but the principal mode is different of the character of the uniaxial crystal, the principal mode is the principal mode of te mode for the negative uniaxial crystal, but the one of tm mode for the positive uniaxial crystal ; ( 3 ) when the crystal optical - axis parallel to the waveguide plane, for the positive uniaxial crystal material, the principal mode of the waveguide is a te wave, which can be excited by the light at any frequency ; when the light frequency satisfies a single mode propagation condition, there will be only the principal mode propagating in the waveguide, otherwise some of the higher order modes can be excited, which are neither te modes, nor tm modes, but the hybrid guided modes

    本文就是在此背景下，利用金屬波導和單軸晶體的一些特性，結合麥克斯韋方程組和波導的邊界條件，從三種不同的情況研究了光在對稱平面單軸晶體金屬波導（波導層是單軸晶體，兩個波導界面均為金屬）內的傳輸特性，其主要貢獻為，首次解析地得到了這種波導結構下模式場的精確解，並發現了一些有用的特性： （ 1 ）模式場的性質因單軸晶體的性質不同而異； （ 2 ）當單軸晶體光軸位於波導界面法方向與傳輸方向構成的平面內時，波導中傳輸te波和tm波，只不過其主模因單軸晶體的性質不同而異，當波導層介質為負單軸晶體時，波導主模是te波主模，而波導層介質為正單軸晶體時波導主模是tm波主模。 （ 3 ）當單軸晶體光軸位於波導面內時，對于正單軸晶體，波導的主模是橫電波te _ 0模，任何頻率的光波均可激勵該模式；當光波波長滿足一定條件時，波導內傳輸單模，否則，將激勵起高階模式，高階模即匪te波，也匪tm波，而是兩者耦合而成的混合模。
  2. The plane - wave analytic solution of the coupled fluid - air - solid system and the fem model of air cushion isolations are applied to study the influence of air cushion on earthquake response of dams. the calculations show that air isolation will reduce the hydrodynamic pressure significantly and restrain the dam vibrations during earthquakes. if the dam and reservoir is isolated by air cushions, it will decrease the hydrodynamic pressures by more than 90 % and the seismic stresses by 20 - 30 %

    將本文首次提出的水體-氣體-結構系統的平面波作用理論解和三維有限元模型，應用於溪洛渡雙曲拱壩的抗震安全性和氣幕隔震可行性研究中，表明氣幕對高拱壩具有良好的隔震性能，可降低動水壓力90以上，壩體地震拱應力20 30 ，減震效果顯著，並使壩體的抗拉安全系數從0 . 93提高到3 . 58 。
  3. Essential to their utility is the requirement that the evolution of the basic functions through the propagation environment constitutes a simplified problem with an exact or approximate closed form solution to the original wave equation. the evolution of a spatial fourier harmonic through a homogeneous medium is governed by a reduced wave equation, obtained by applying the fourier transform to the helmholtz equation, with a simple and well - known solution - the plane wave

    這些方法均採用一組具有全局特性的基本函數對波場進行分解，如占據整個空間的富氏調諧函數或充滿各個方向的dirac函數（點源） ，並通過求解基本函數滿足波動方程的精確解或近似解來達到波場外推的目的。
  4. Third, the mode solution is obtained using the separation of variables. the last, the mode transition property is discussed when the plane wave transmit in the step - index optical fiber

    再次，利用分離變量法推導出平面波在階躍光纖中傳播的模式表達式，討論了光波在光纖中傳播的模式特性。
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