數值色散 的英文怎麼說
中文拼音 [shǔzhíshǎisǎn]
數值色散
英文
numerical di ersion-
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。The dispersion equation of full relativistic longitudinal plasmon was numerically evaluated, and the dispersion curve and simulated dispersion relationship for full relativistic temperature were given
摘要對完全相對論性縱「等離激元」的色散方程進行數值計算,得到完全相對論性溫度下的色散曲線和擬合色散關系。The tm mode dispersion equation of the coaxial bwo in the infinite guiding - magnetic field is derived and solved numerically. the dispersion curve, operating frequency, and the growth rate are obtained
採用線性理論推導了無窮大引導磁場下的同軸tm模式色散關系式,並編程數值求解了一定條件下的色散曲線、時間增長率、空間增長率。The dispersion equation represented by the plasma dispersion function is numerically evaluated, the dispersion relationship for nonrelativistic longitudinal oscillation is derived from the kinetic plasma equations
摘要從等離了體動力論方程出發,通過對由原色散函數表示的色散方程進行數值計算來研究非相對論性等離子體縱振蕩的色散關系。Propagation of spectra affected by third - order dispersion in dispersion - decreasing fiber near zero dispersion wavelengths was studied by means of numerical simulation
摘要為探討三階色散對脈沖傳播的意義,用數值模擬的方法討論了在色散緩變光纖中零色散波長附近三階色散對脈沖頻譜演變的影響。As a high - power twt, we consider the relativistic effect of the solid beam. the numerical results are given in terms of the small signal gain curve and slow - wave ration curve
作為大功率的行波管,我們考慮了電子注的相對論效應,數值求解「熱」色散方程,得到脊加載盤荷波導幾何參數和電子注參量與小信號增益的關系。For the first time, the coaxial ridge - disk - loaded cylindrical waveguide as sws is presented. its dispersion equation and the expression of coupling impedance are given by application of the field matching method. a series of numerical results show that the influence of structure dimensions on the dispersion characteristics and interaction impendance
三、創造性地提出脊加載同軸膜片圓波導慢波結構,並對其採用嚴格的場匹配法,詳細推導了色散方程和耦合阻抗表達式,並得到一系列有關系統結構參量與色散和耦合阻抗之關系的數值模擬結果。The results of computer simulation show that both the radius of disk and the depth of focal length decrease as increasing incidence wavelength, meanwhile, the intensity of disk is enhanced
數值計算了圓形透鏡的色散,結果表明:焦斑的半徑和焦深隨入射波長的變大而減小,光斑的強度隨入射波長的變大而增強。We study the time evolution law of the atomic response in an open - type inversionless lasing system when the probe or driving field is off - resonance, and compare the law with that obtained when the probe and driving fields are resonant. we find that the detuning has considerable effects on the time evolution law : when the probe or driving fields is off - resonance, the dispersive responses for the probe and driving fields are no longer 0 and the two - photon coherence is no longer a pure real ; the variation of the probe detuning can make the time evolution law of the population distributions and the gain ( absorbtion ) of the driving field changing obviously ; with detuning increasing, the time evolution behavior of the gain ( absorbtion ), dispersion of the probe field and the two - photon coherence will gradually diviate from the evolution law of the standard damped oscillator ; with the driving detuning increasing, the oscillating time of the dispersion of the driving field becomes longer, the amplitude and the stationary value increase
研究了探測場或驅動場失諧情況下開放的型無粒子數反轉激光系統中原子響應的時間演化規律,並與探測場和驅動場都共振時的演化規律進行了比較.我們發現失諧對時間演化規律有顯著的影響;當驅動場或探測場失諧時,原子對探測場和驅動場色散的響應不再為零,雙光子相干不再是純實量;探測場失諧的變化將使粒子布居和驅動場增益(吸收)的時間演化規律明顯改變;隨著失諧的增大,探測場增益(吸收) 、色散和雙光子相干隨時間的演化行為逐漸偏離標準阻尼振子的演化規律;驅動場色散驅動場失諧量的增加而振蕩時間變長,振幅和穩定值變大In section one, we analyze the mechanism of lwi gain, and study the effects of the rabi frequency q of the driving field, the injection rates ratio rb / r ~, the exit rate r0, the decay rates ~ and rab between atomic levels, as well as 3 incoherent pump rate r on the gain without inversion, dispersion and population difference of the system. in section two, we discuss the effects of the detuning of the driving field and the probe field on the gain
在第一節中分析了無粒子數反轉激光增益產生的機制、研究了驅動場的rabi頻率、粒子注入速率比值r _ b / r _ c 、粒子退出速率r _ o 、能級間的自發衰減速率r _ ( c - b ) 、 r _ ( a - b )和非相干泵浦速率r對增益、色散和粒子數差的影響;第二節討論了驅動場和探測場的失諧對無粒子數反轉激光增益的影響。We presents a detailed studied of the linewidth of parametric light in clbo - opo caused by the linewidth of pumping beam, off axis phase matching, divergence angle of pumping, time above threshold, high gain coefficient of nlo crystal, fluctuate of cavitylength, spontaneous radiation, according to the momentum and energy conversion laws, and the sellmeier equations of the clbo, we calculated curves of the type - i and type - ii compared with the bbo ' s
根據能量動量守恆關系和clbo的色散方程,詳細分析了由於泵浦光的線寬、泵浦光偏軸泵浦、泵浦光的發散角、泵浦光功率超過參量光振蕩閾值一定倍數、高增益系數、有效腔長波動以及自發輻射引起的參量光線寬,並得到了與bbo晶體在類、類相位匹配下比較的理論曲線。First, we reviewed the finite - difference time - domain yee ' s method. the difference equations, the stability condition, numerical dispersion characteristics, absorbing boundary conditions, incident wave source conditions and the calculation of the frequency - dependent scattering parameters are discussed
首先本文回顧了時域有限差分yee演算法,包括時域有限差分的差分方程、穩定性條件、數值色散特性、吸收邊界條件,激勵源的設置以及散射參數的計算等。Expressions in three kinds of perfectly matched layer ( pml ) absorbing boundary conditions is also given. second, the numerical theories of the auxiliary fields fdtd method is studied, including the stability of the differential equations and the numerical dispersive relationship. the stability of two kinds of differential formulations and three kinds of pml is compared, using a straight method depending on the pmax - t graph
更進一步,研究了輔助場fdtd方法的數值理論,對其微分方程、差代方程的穩定性進行了分析,比較了有耗媒質中的兩種差分格式和三種理想匹配層中的差分格式的穩定性,提出了一種通過p _ ( max ) - t曲線判定穩定性並求出穩定性條件的直觀方法,並導出了該方法的色散關系式。The magnetic distribution of a - magnet is presented by analytic way and numeric simulation way. the single particle movement is studied in a - magnet and the movement rule of charged particle in ideal four poles magnetic field also is obtained. quantificational results of the incidence angle, trajectory length and the maximal distance in x direction are presented for ideal trajectory, and the equation indicates some important characters of a - magnet
論文對-磁鐵的有關物理問題進行了較為詳細的論述,從解析形式和數值模擬兩個方面給出了-磁鐵的磁場分佈,對單個粒子在-磁鐵中的運動進行了分析,利用數值求解方法研究了帶電粒子在理想四極磁場中的運動規律,提出了歸一化運動方程和理想軌道等物理概念,定量給出了消色散的入射角、軌道長度和x方向最大距離的解析表達式。In chapter 4, we study nonlinear theory of the open v - type system with two - color incoherent pump. in this chapter, we discuss the conditions for the onset of lwi and the stability of the system in the limit of strong driving field, and the effect of incoherent pump rate rt on the gain, dispersion and population differences. we also discuss the effect of nonlinearities and the effect of pumping rate threshold of the pumping field
接著第四章討論雙色非相干泵浦系統的非線性理論,分析了強驅動場情況下的lwi產生的條件和穩定性、非相干泵浦速率r ~ 1對增益、色散和粒子數差的影響;討論了該系統的非線性效應和非線性對非相干泵浦速率r ~ 1與r閾值關系的影響。Simulation research on numerical dispersion for modeling of wave guide devices by fdtd
法建模波導器件時數值色散的模擬研究This paper studied the dispersion and the field distribution of the wave - guide with helical corrugation operating in 8mm wave band. the main works of this dissertation are listed as following : 1. based on the theory of coupled - wave, using the method of perturbation, the coupled - wave equations are derived and the rule of coupling is gotten. 2
2 .利用螺旋波紋波導的耦合波方程和模式耦合規則,得到波導色散方程,利用visualfortran平臺編程進行數值模擬,分析相關物理參數對色散特性的影響;對波導的行波幅值耦合方程進行數值模擬,從而簡化了耦合方程,在此基礎上利用visualfortran平臺編程進行數值模擬,分析螺旋波紋波導的場分佈情況。By comparing the error of dispersion, it illustrates that the staggered uncolocated grid yee ' s scheme is the best one among 2 order schemes. using the same method for 2 order scheme, we analysis the high order fdtd schemes. the method for constructing good - performance high order fdtd schemes is points out, and a new 4 order scheme which is coincident for e and h is given out
然後,將該分析方法應用到高階fdtd的研究中,指出了構造高階差分格式的原則和方法,並提出了一種新的電磁對稱的4階fdtd方法,研究並給出了它和其他兩種電磁不對稱4階fdtd的色散特性,結果表明高階方法具有比2階fdtd方法小的多的數值色散誤差。First, on the basic theory of the coaxial disk cylindrical waveguide, we analysis field equation in each area of the coaxial disk cylindrical waveguide with longitudinal ribs. the dispersion equation and the coupling impedance of this structure are obtained by means of triangle function ' s orthogonality and combing with the field matching method. through the numerical calculation, we discuss the influence of various structure ' s parameter on the dispersion and the coupling impedance
主要工作和創新成果如下:一、首先在盤荷波導理論的基礎上,嚴格分析加上脊后的各區場表達式,利用邊界條件和函數的正交性推導出對應的色散方程和耦合阻抗表達式,並通過數值模擬計算,詳細討論了該結構的幾何參數對色散方程和耦合阻抗的影響。In chapter three, after introduced the method of fdtd in electromagnetic computing, we study the dispersion of several 2 order fdtd methods deducing from the difference for space and time variables by fourier theory. result show that the dispersion deduced by space - difference can be modified by the time - difference
接著本文用傅立葉分析的方法研究了空間差分和時間差分格式以及二者聯合時的數值色散誤差特性,通過對幾種2階格式的研究和比較,指出了yee格式fdtd是2階格式中的最佳fdtd方法。分享友人