激波方程 的英文怎麼說

中文拼音 [jībōfāngchéng]
激波方程 英文
shock equation
  • 激 : Ⅰ動詞1 （水因受到阻礙或震蕩而向上涌） swash; surge; dash 2 （冷水突然刺激身體使得病） fall ill fr...
  • 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...
  1. The key components in laser gyro is he - ne ring laser, and the reciprocal action theory between light and medium is the base in studying the ring laser, use the lamb half classical theory, and on the base of density matrix theory, the optical brounch equation was established, which described the movement of amplifying medium atom in the ring syntonic cavity, and according to the medium polarize theory the self consistent equations was deduced, which describe the light intensity and phasic of the counter - propagating wave. on the basis of this equations, adopted the simulation software matlab and virtual instrument programming language labwindows / cvi, we can do some simulated experiments in study the phenomenas such as amplify and dispersive characteristic of medium, mode pushing effection, burned hole effection and pattern competition, lock - in of frequency and the characteristic of light intensity and phasic of the counter - propagating wave in laser gyro

    激光陀螺的核心部件為he - ne環形激光器，而掌握光與介質的相互作用理論是研究激光器的關鍵，採用拉姆半經典理論為主，在密度矩陣理論的基礎上，推導環形諧振腔中描述he - ne氣體增益介質原子運動的光學布洛赫方程，運用介質極化理論得出描述激光陀螺反向行波的光強、位相所滿足的自洽場方程組，在此基礎上，運用matlab模擬軟體和虛擬儀器編程語言labwindows / cvi ，對激光陀螺中的介質增益色散特性、頻率牽引效應、燒孔效應及模競爭、閉鎖效應及環激光的光強和相位特性進行模擬試驗研究，並且運用全量子理論，對激光工作原理進行分析，得出二能級系統單模輻射場的光子數密度分佈，得出激光場的光子統計分佈，模擬激光場的動態建立過程。
  2. And finally, with hllc and lax - friedrichs type approximate riemann solver for discretising conservative equations and a nonconservative equation, a simple accurate and fully eulerian numerical method is presented. compared with the numerical results of hll scheme, the hllc scheme has a high resolution for shock waves and avoiding the nonphysical oscillation of the hll scheme

    最後用lax ? friedrichs格式及hllc格式作為通量函數對守恆一維euler型方程組進行了離散，並將數值模擬結果和saurel的hll格式模擬結果進行了比較，發現：在兩相流數值模擬過程中，相對來說hllc格式對激波的解析度最高，結果最穩定，避免了hll格式在間斷處的非物理性數值振蕩。
  3. In this paper, firstly, the mechanism of laser plasma shock wave ' s form, the basic formula of the theory of shock wave, the state equation of the shock wave in the water and the relation of the parameters of the shock front are studied

    本文首先討論了激光等離子體沖擊波的形成機理、沖擊波理論的基本關系式、水中沖擊波的狀態方程模型以及沖擊波波前參數的關系。
  4. 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。
  5. In this paper, high - order accurate weighted essentially non - oscillatory ( weno ) schemes are investigated and their applications in hyperbolic conservation laws are discussed. based on this, a new weno difference scheme which based on dispersion - relation - preserving relation is developed, and representative test cases with this scheme for computational aeroacoustics ( caa ) problems has been implemented and compared in order to test capability of wave capturing ; in addition, weno schemes generally do not converge at high order in the presence of contact discontinuity of euler equations, so a conservative front tracking technique coupling weno schemes and level set method to simulate the translating density profile is presented here, and numerical simulation with this technique for representative test case has been implemented and results show the desired accuracy

    本文研究了高階精度加權基本無振蕩（ weno ）格式及其在雙曲守恆律方程中的應用，在此基礎上作了兩個方面的工作：一是針對高頻聲波問題構造出一種基於保色散關系（ drp ）的weno有限差分格式，並對計算氣動聲學（ caa ）問題的代表性算例進行了大量數值實驗，比較了該格式捕捉波數的能力；另外，針對高階weno格式在處理euler方程的接觸間斷時精度有所降低的問題，研究了利用界面追蹤技術levelset方法和高階激波捕捉weno格式相結合的一種守恆追蹤方法，並且給出有代表性的密度滑移面問題的算例，得到一致高階精度的數值模擬結果。
  6. This thesis was divided into eight chapters, and the main results and innovations obtained here can be summarized as follows : ( 1 ) the physics model of tsrs in frequency conversion crystals has been built up firstly. based on quantum - mechanical viewpoints and the following physical processes and parameters : the two - photo interaction of light with matter, paraxial diffraction of stokes, langevin noise sources, reflection at the faces and the edges of crystals, gain coefficient, beam aperture, pulse width and fluence of 3, the physics model of tsrs in kdp and kdp crystals acting as high - fluence frequency convector and the paraxial operator maxwell - bloch - langevin equations have been built up

    全文共分八章，取得的主要成果及創新點如下： （ 1 ）首次建立了諧波轉換晶體的tsrs物理模型本文根據量子力學原理，在考慮如下物理過程和參量的基礎上：光與物質的雙光子相互作用； stokes光的傍軸衍射； langevin （郎茲萬）噪聲源；晶體表面反射和端面反射；增益系數、光束口徑、脈寬和三倍頻光能量密度，推導出高通量激光在kdp和kd ~ * p諧波轉換晶體中的tsrs物理模型和空間上的近軸算符maxwell - bloch - langevin方程組。
  7. The numerical simulation of axisymmetric two - dimensional shock tube is studied, which has a conical convergent section, and its driving gas is the hot product of hydrogen oxygen detonation. finite volume tvd scheme is adopted and the mesh is local orthogonal. the primitive equations are euler s equations of multi - component flow. the new method of eliminating numerical oscillation at the interface of two materials is extended to two dimensions. the mechanical character of this shock tube is analyzed

    對由前向爆轟產生驅動氣體並具有局部錐形收縮截面的軸對稱激波管利用兩相常比熱完全氣體的歐拉方程組和有限體積tvd格式在局部正交的網格上進行了二維數值模擬。將消除兩種介質界面處數值振蕩的新方法成功地推廣到二維情況。分析了該激波管的力學特性。
  8. Based on this, a case of typical external self - focusing effect, hot - image, has been analytically and experimentally investigated in this dissertation. the principal work is as follows. ( 1 ) intense laser beam propagation equation, the paraxial wave equation, has been derived

    論文的主要內容為如下幾部分： （ 1 ）從電磁波的基本傳播方程出發，推導了描述強激光在透明克爾介質中傳輸行為的非線性近軸波動方程。
  9. The stability output second harmonic generation ( shg ) experiment results of single - longitudinal mode and multi - longitudinal mode with long cavity were explained reasonably with these rate equations. the high polarization of fundamental wave in the isotropic laser media nd : yag with type - i critical phase - matching lbo was studied with the rate equations including polarization of fundamental light. using the polarization function of lbo, a quartz full - wave plate was introduced into the cavity, a kind of birefringent filter by considering the combination of the polarization function of the type - i critical phase - matching doubling frequency crystal lbo and the quartz whole - wave plate was constructed

    將腔內多縱模倍頻速率方程推廣應用到準三能級藍光激光器中，分析了一個縱模、兩個縱模、多個縱模時的噪聲情況，合理地解釋了實驗中激光器單縱模運轉以及長腔多縱模運轉時穩定輸出的實驗現象，同時利用該速率方程分析了以各向同性激光晶體nd : yag為工作物質，類臨界相位匹配lbo為倍頻晶體的藍光激光器中基頻光偏振特性，合理利用類臨界相位匹配lbo倍頻晶體的偏振特性與引入的石英晶體全波片構成雙折射濾光片，通過選單頻來抑制噪聲，獲得了藍光低噪聲的穩定輸出。
  10. All of these reveal the further properties of the wave propagating in one - dimensional elastic continuum. on phase plane, the qualitative analysis are made, which exhibits four kinds of orbits : the heteroclinic orbit of burgers equation, the homoclinic orbit of k - dv equation, and saddle - foci heteroclinic orbit or saddle - joint heteroclinic orbit of kdv - burgers equation

    說明burgers方程在相平面上有相應于激波解的異宿軌道; k ~ dv方程有相應于孤波解的同宿軌道: kdv一buegers方程有相應于振蕩孤波解的鞍一焦異宿軌道和相應于激波解的鞍一結異宿軌道。
  11. Secondly, by using the scattering characteristics of rough surface, the relation formula between received power and transmitted power of remote system for a facet is derived. finally, the scattering power for a conductor sphere is computed. 4

    根據有關測量數據，提出了激光引信的發射波束模型，並結合粗糙面散射理論，導出面元散射功率方程，給出導體球的激光近場散射功率結果。
  12. Viscous shock wave of viscous conservation law systems

    粘性守恆律方程的粘性激波
  13. It was indicated that the major frequency of signals for three different motivating manners concentrated between 20 and 50 khz, the difference between wavelet coefficients was small, and the pertinence of the original signal and the returning signals was low

    最終結果表明，從頻譜上來講，三種激勵方式所產生信號的主頻集中在20 50khz ，小波系數相差甚微，並且來源於同一源的接收信號與源信號相關程度也不高。
  14. In order to predict the arrival time at 1au of interplanetary shocks, a simple model called disturbance model is established here. in this model, the travel time is assumed to be a function of energy that is released from solar explosives, and input pulse longitudinal width, input pulse duration, the interaction of interplanetary shock and background solar wind are also taken into account

    本論文考慮了激波爆發源角寬度、能量、驅動時間、激波速度及其與背景太陽風之間的相互作用，利用流體力學擾動方程建立起一個激波擾動傳播模型，用於研究激波從太陽傳播到地球軌道附近（ 1au處）所需要的時間問題。
  15. Because euler equations have disconnected solutions named shock wave in numerical simulation flow field, and to make sure the disconnected solutions not expanding or vanishing among parallel computation sub - domains, there must be certain connections in the numerical value variable among the sub - domains

    由於在歐拉方程數值模擬求解流場區域內存在間斷解即激波，而計算流體力學并行數值計算是在分區的基礎上進行的，為了使流場區域內的間斷解不因分區并行計算而膨脹或消失，分區之間的數值變量必然存在著一定的聯系。
  16. First, we introduce the seed initiation of sbs model to get the couple equations, which describes the sbs with stokes seeded in fiber

    我們首先採用種子光激發模型推導出描述存在stokes種子光下sbs的耦合波方程組，由此分析了sbs的穩態特性，得到了sbs增益因子。
  17. Based on momentum theory and shock wave gas dynamic theory, jet equivalent body idea and bow sharp wave mathematic formula is brought forward

    利用動量定理和激波理論分析方法，提出了噴流等效體的概念，推導了等效體弓形激波方程。
  18. Then we analyze the static character of sbs to obtain the sbs gain factor and threshold under continuous wave and pulse. because there is no stokes seed in fiber hydrophone system, we analyze the sbs based on the noise initiation of sbs model. we use the finite differential time domain method to do the sbs numerical simulation in fiber

    由於光纖水聽器中的sbs是在沒有種子光注入下產生的，於是我們推導了噪聲激發模型下描述sbs的耦合波方程組，對該方程組使用時域有限差分法進行了數值模擬，並推導了連續光和脈沖光下的閾值。
  19. Shallow water waves. derivation of the equations. linearization and solution. radiation conditions. more on characteristics and shocks, now for all shallow water equations

    淺水波。方程的導出。線性化及其解。輻射過程。所有淺水波方程的特徵曲線和激波。
  20. Adopting noise - initiation mode of stimulated brillouin scattering ( sbs ), the transient sbs equations are numerically solved, and the intensity distribution of transmission beam when the gaussian beam passes brillouin medium is simulated

    摘要採用布里淵噪聲起源模型求解受激布里淵散射瞬態耦合波方程，數值模擬了截面光強為高斯分佈的光束通過布里淵介質后的光強分佈。
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