higher-order wave 中文意思是什麼

higher-order wave 解釋
高次波
  • higher : adj 〈high 的比較級〉較高的；高等的。 higher command 【軍事】＝ high command higher criticism 聖...
  • order : n 1 次序，順序；整齊；（社會）秩序，治安；狀況，常態；健康狀態；條理；會場秩序；議事程序，日程；...
  • 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...
  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. Corresponding numerical results of wave - making calculations for high - speed ships using higher - order panel method are encouraging

    採用高階面元法得到的高速船舶相應的興波計算數值結果令人鼓舞。
  3. From three - wave coupling equations, the optimal crystal length, conversion efficiency and parametric light pulse width are computed numerically when clbo is used in picosecond optical parametric amplification. the results present that clbo are suited for optical parametric amplification in short wave band. in order to get higher conversion efficiency, the crystal length should be optimized according to the intensities of pump and signal waves

    從三波耦合方程出發，對clbo用於皮秒級光參量放大時，最佳晶體長度、轉換效率和參量光的脈沖寬度進行了理論分析和數值模擬，結果表明clbo晶體適合在短波范圍作光參量放大，為達到高的轉換效率和窄脈寬的信號光輸出，泵浦光和初始入射信號光的強度應根據晶體長度取最優化值。
  4. In the third chapter, we will study the existence and uniqueness of the classical global solution and generalized global solution to the periodic boundary value problem and the cauchy problem for this kind of equation. in the second chapter, we study the following nonlinear wave equation of higher order : with the initial boundary value conditions or with where a1, a2, a3 > 0 are constants, ( s ), f ( s0, s1, s2 s3, s4 ) are given nonlin - ear functions, u0 ( x ) and, u1 ( x ) are given initial functions. for this purpose, by green ' s function of a boundary value problem for a fourth order ordinary differential equation we first reduce the problem ( 1 ) - ( 3 ) to an equivalent intergral equation, then making use of the contraction mapping principle we prove the existence and uniqueness of the local classical solution for the intergral equation

    本文分三章，第一章為引言；第二章研究一類非線性高階波動方程的初邊值問題的整體古典解的存在性和唯一性，以及古典解的爆破；第三章研究此方程的周期邊界問題和cauchy問題的整體廣義解和整體古典解的存在性和唯一性，具體情況如下：在第二章中，我們研究一類非線性高階波動方程的如下初邊值問題：或或其中a _ 1 ， a _ 2 ， a _ 3 0為常數， （ s ） ， （ s _ 0 ， s _ 1 ， s _ 2 ， s _ 3 ， s _ 4 ， ）為已知的非線性函數， u _ 0 （ x ） ， u _ 1 ， （ x ）為已知的初始函數，為此，我們先用四階常微分方程邊值問題的green函數把上述問題轉化為等價的積分方程，然後利用壓縮映射原理證明此積分方程局部古典解的存在性和唯一性，又用解的延拓法證明上述問題整體古典解的存在性和唯一性，主要結果有：定理1設u _ 0 （ x ） ， u _ 1 （ x ） c ~ 4 [ 0 ， 1 ]且滿足邊界條件（ 2 ） ，若以下條件滿足：其中a ， b月0為常數， w
  5. Exact jacobian periodic wave and solitary wave excitations for higher - order nonlinear schr dinger equation

    高階非線性薛定諤方程的精確周期解和孤波解
  6. And we extend the model beyond the hirota conditions and obtain the generalized dark solitary wave solutions for the general higher - order nonlinear schrodinger equation. also, by numerical method, the stability and interaction between the femtosecond dark solitary solutions are discussed in detail

    同時，利用擬解法給出更一般條件下高階非線性薛定諤方程的暗孤波解，這一結果削弱了hirota條件對光纖參數的限制，提高了飛秒暗孤波在實驗中得到驗證的可能性。
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