波動方程式 的英文怎麼說

中文拼音 [bōdòngfāngchéngshì]
波動方程式 英文
wave equation
  • 波 : Ⅰ名詞1 （波浪） wave 2 [物理學] （振動傳播的過程） wave 3 （意外變化） an unexpected turn of even...
  • 方 : Ⅰ名詞1 （方形; 方體） square 2 [數學] （乘方） involution; power 3 （方向） direction 4 （方面） ...
  • 程 : 名詞1 （規章; 法式） rule; regulation 2 （進度; 程序） order; procedure 3 （路途; 一段路） journe...
  • 式 : 名詞1 （樣式） type; style 2 （格式） pattern; form 3 （儀式; 典禮） ceremony; ritual 4 （自然科...
  • 波動 : 1 （不穩定） undulate; fluctuate; unsettle; surge; rise and fall 2 [物理學] wave （motion）; wave...
  • 方程式 : capeta
  1. In this study, we applied the reversibility of elastic wave to a discussion of the reverse time propagation of wave equation

    摘要本文應用波動方程式的可逆性討論彈性波的逆時影像重建。
  2. The former three chapters considers the initial - boundary value problem for the nonlinear wave equation in a bounded domain fi c rn. chapter 2 investigates the problem with a, g and / like ( v2 ) = ( 1 + v2 ) - 1 / 2, g ( v ) = - | v | pv, p > 0 and f ( v ) = | v | mv, m > 0, respectively

    論文的主要內容分為四章，前三章主要研究定義在有界區域上的非線性波動方程的初邊值問題在第二章中（ v ）形式如（ 1 + v ~ 2 ） ~ （ - 1 / 2 ）
  3. In the thesis, the fundamental formula of ffd method derives from the square root that is approximated by a continued fraction expansion in the one - way wave equation. optimizations of the parameters of the finite - difference operator improve the validity of the method

    本論文用連分式近似單程波波動方程中的平方根導出ffd演算法的基本公式，並對ffd演算法中的有限差分運算元進行了系數優化，進一步提高了計算的有效性。
  4. Abstract : it is observed that the sommerfeld ' s formula for a progressive spherical wave is not covariant with respectro the rotation of the coordinate system. it contains complex partial waves that are not physical. the standing wave representation of the same formula is shown to be covariant and physical. it is applied to solve the boundary value problem of fiber optics. the radiation modes as well as the guided normal modes are obtained in closed forms. the intensity distribution in various modes is obtained. it is remarked that the mode of critical refraction is missing

    文摘:說明了球面行波的索末菲公式在坐標轉動下不協變.證明了球面波的駐波表示是協變的，因而是一個物理的關系式，故適用於圓柱坐標中各類波動方程的定解問題.作為一個例，應用於光纖光學，導出了受導簡正模和輻射模的表達式，以及各模式的強度分佈
  5. The first place, though analyzing between the sound approximately equation and the electromagnetic wave equation, we get the similarities in the form of equation. based on these, we can easily take the migration theories and methods of reflection seismic into gpr ' s

    本論文的核心內容包括： （ 1 ）通過對聲波波動方程和電磁波波動方程對比分析，根據它們波動方程在形式上的一致性，建立將廣泛應用於地震勘探中的偏移技術引入到gpr數據處理中的理論基礎。
  6. Based on the previous work, the equations of motion and elastodynamics are changed. a high - order staggered velocity - stress finite - difference formula of the acoustic field in borehole are set up in cylindrical coordinate, and the corresponding code is accomplished

    本文在彈性波動力學的基礎上，將運動方程和本構方程作適當變形，採用交錯網格技術建立了井孔波動方程在柱坐標系下的速度?應力高階有限籌分公式，並編制了相關計算程序。
  7. We get the estimates of the upper bounds of hausdorff and fractal dimensions for the global attractors. in section 5. 3, the cauchy problem is studied, by using the weighted function space and the interpolating inequality, the existence of the global attractors for the damped generalized coupled nonlinear wave equations in an unbounded domain is proved. in section 5. 4, the time periodic solution problem of damped generalized coupled nonlinear wave equations with periodic boundary conditions is studied, the existence of time periodic soluation of this problem is proved by using the convergence of approximate time periodic solution sequences

    第五章，考慮了一類廣義耦合的非線性波動方程組，在第二節中討論了周期初值問題，證明了整體光滑解的存在性和唯一性，得到了整體吸引子，給出了hausdorff維數和分形維數的上界估計；在第三節中討論了cauchy問題，利用加權函數和加權空間的插值不等式，證明了無界區域上整體吸引子的存在性；在第四節中證明了時間周期解的存在性。
  8. It can be used to create the model data file for the seismic forward modeling semi - automatically. thus, the two primary difficult problems of low efficiency and accuracy have been solved very well. 2. graphic and digital image processing technique are introduced into geological modeling, and some kinds of arithmetic are presented, based on which fast model input for ray tracing and wave equation forward modeling have been both achieved

    首次建立了獨立於大型地震勘探專業軟體的開放式構造地質模型輸入系統，開發了針對于射線層狀結構模型和網格化波動方程模型的輸入軟體，大大地簡化了模型輸入的過程，極大地提高了構造地質模型的輸入效率，解決了以往模型輸入精度和效率不高的兩大難題。
  9. Based on the semi - vector wave equation under cylindrical coordinate system, the mode distribution and complex propagation constant in bent waveguides were computed by a finite difference method with perfectly matched layer ( pml ) boundary condition

    摘要以柱坐標下的半矢量波動方程為基礎，採用基於完美匹配層（ pml ）邊界條件的有限差分方法，對彎曲波導進行模式求解，進而得到波導彎曲引起的輻射損耗。
  10. We begin with the maxwell - field equations, deduce the wave - propagation equations, and then analyze the characteristics of guided modes in optical fiber. based on these, we derive the coupled - mode equations that describe the interaction between the modes

    從光纖中的麥克斯韋方程組出發，首先推導出描述光在光纖傳播的波動方程，進而分析光纖中模式特性，並在此基礎上，嚴格推導出描述模式耦合的耦合模方程。
  11. In this paper, a " step - by - step " recursive 3 - d frequency - space wed scheme is presented to deal with real data

    本文採用三維頻率空間域有限差分波場延拓運算元以「逐步累加」的方式實現了三維波動方程基準面校正，並對實際數據進行了處理。
  12. In the paper, the simulation of ship maneuvering in regular waves is accomplished by a simplified six degrees of freedom mathematical model encompassing calm water maneuvering and traditional seakeeping theories

    摘要本文以結合操縱性與耐海性的六度非線性運動方程式模擬船隻在規則波下的操縱反應。
  13. The mostly conclusion of this part is as follows, on the conditon of travelling wave, the exact solitary wave solutions to some nonlinear wave equations such as sawada - kotera equation, kaup - kupershmidt equation, the fifth order kdv equation, fisher - kolmogorov equation, on the help of the computer algebraic system ( maple ), are explicitly established by making use of the hyperbolic function method. this part is maken up of three sections

    本部分的主要結論如下，利用雙曲函數展開法，在行波條件下，對sawada - kotera方程， kaup - kupershmidt方程，五階kdv方程， fisher - kolmogorov方程，等幾類非線性波動方程求解，將其孤立波表示為雙曲函數的多項式，從而將非線性波方程的求解問題轉化為非線性代數方程組的求解問題，並藉助于計算機代數系統求解非線性代數方程組，最終獲得了這些非線性波動方程的若干精確孤立波解。
  14. In a broader view, a simple periodic motion is a form of space - time wave

    更廣義的意義上講，任何簡諧運動均屬于時空波動方程的表現形式，我們已經不僅把
  15. From wave equation, under small signal approximation, a theoretical calculation of shg efficiency and acceptances is presented. according to this, the acceptances of wavelength, period, temperature and incidence angle are calculated. these will guide the experiment and the fabrication of optical supperlattice ( osl )

    2 、從波動方程出發，在小信號近似下，推導了qpm倍頻公式，分析了波矢失配的起因及影響，從理論上推導了波長，周期，溫度和入射角的接收帶寬，討論了占空比對輸出效率的影響，對介質制備及實驗有一定的指導意義。
  16. Finally, the wave equation of the electromagnetic field of this kind damper is derived from the maxwell ' s equation. the magnetic flux density at the boundary is assumed to be harmonic, so the analytical result of the wave equation is solved. when the rotor rotates, eddy currents flowing inside the conducting material field are caused

    最後，應用ahrens的電磁軸承簡化模型，從maxwell方程出發推導了應用於本文所述的被動式電磁阻尼器的波動方程，並用傅立葉級數把矩形磁場展開的諧變磁場作為磁場的邊界條件，通過求解波動方程得到磁場的解析解，從而計算了阻尼器對轉子的電磁力和由渦流引起的切向力產生的阻尼器附加功耗。
  17. The important parts of this work consist of : 1. the high frequency asymptotic evaluation of wave equations in nonhomogeneous medium by maslov ' s method is systematically studied, and formulations of the high frequency asymptotic evaluation in nonhomogeneous medium which varying only in one direction are constructed

    本論文的工作作為國家自然科學基金地震波傳播與成像項目（ no . 40174032 ）的一部分，得到如下結果： （一）論文分析了利用maslov方法求解非均勻介質中波動方程高頻近似解的基本原理和求解過程，構造了介質系數只在一個方向變化時波動方程高頻近似解的通用計算公式。
  18. In addition, this paper has analyzed and calculated the wave - guide mode theory, got the quantum well laser photic - field distribution ' s fluctuation equation, deduced the far - field distribution ' s mathematics model by the method of stepwise approached, and simulated the near - field and far - field about the laser with computer software. we utilized a pair of mode expand layers which can restricted in photic - field to narrowed the far - field comer about quantum well laser material structure ( the corner was about 21 ?

    另外本文還對光波導模式理論進行了理論分析和計算，得到了量子阱激光器光場分佈的波動方程，利用逐步逼近的方法推導出了遠場分佈的數值模型，通過計算機軟體模擬出了激光器遠近場分布圖，並利用模式擴展層對光場的限製作用得到了窄遠場發散角（約為21 ）的量子阱激光器材料結構。
  19. The numerical simulation is an effective method. the main task of this dissertation is to establish a hydrodynamic and pollutant transport model, and to simulate the tide field and concentration field of hakata bay : ( 1 ) dispersing the long - wave equation on interlaced grid by adi method, a two - dimension hydrodynamic model is established to simulate the tidal flow in hakata bay under the effects of m _ 2, s _ 2, o _ 1, k _ 1 tide

    本文的主要工作是建立一個深度平均的二維水動力及污染物擴散輸移的數值模型，並對一實際海灣的潮流場及濃度場進行數值模擬： （ 1 ）用深度平均淺水波動方程為控制方程，採用迎風adi有限差分方法（交替方向隱式法）在矩形交錯網格上離散潮波方程，建立了一個二維潮流數值模型。
  20. In this paper, the authors study the mathematical model for seismic wave propagation in complex underground medium, discuss the boundary element method for solving seismic wave equations in frequency - domain, and investigate the computational formation of separation of wave equations in frequency - domain

    摘要分析了復雜地下介質情形地震波傳播的數學模型，討論了地震波數學模型數值求解的頻率域邊界元方法，並得到波動方程頻率域邊界元法的離散化計算公式。
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