諧波展開 的英文怎麼說
中文拼音 [xiébōzhǎnkāi]
諧波展開
英文
harmonic development-
By use of the relationships between the hermite polynomial and the laguerre polynomial, the eigenequations of one - dimensional harmonic oscillator and hydrogen atom are conversed into the same equations in form. therefore the relationships between energy levels and wave functions of one - dimensional harmonic oscillator and hydrogen atom are found. through the coordinates transform, the relationships between energy levels and wave functions of two - dimensional harmonic oscillator and hydrogen atom are found
首先綜述了諧振子與氫原子的基本理論的研究現狀，並在此基礎上對諧振子與氫原子的關系展開了研究，通過厄密特方程與拉蓋爾方程的相互轉化，將一維諧振子與一維氫原子的本徵值方程轉化為相同形式的方程，從而比較得出它們能量及波函數間的關系，並通過坐標變換將直角坐標系下二維氫原子的本徵值方程轉化成與曲線坐標系下二維諧振子的本徵值方程相同的形式，從而得出二維氫原子與二維諧振子的能量及波函數的關系。There is a great market demand to utilize the active power filters ( apf ) to reduce the harmonics of the power system and improve the power quality in china
伴隨著我國電能質量問題治理工作的深入開展，利用有源電力濾波器（ activepowerfilter ，縮寫為apf ）進行諧波治理將會具有巨大的市場應用潛力。This paper has studied the wavefunction expanded in terms of the two - dimensional harmonic oscillator eigenfunction through calculating the energy of the ground state, the energy of the first excited state and the oscillator strength in a square wire with finite barriers and studied its application in these fields. the most remarkable advantage of this wavefunction is that it can satisfy the continuity of the function and of its derivative divided by the band - mass and it is convenient to calculate some physical magnitudes because the number of the terms is small
本文通過計算有限深方形量子線中單電子的基態能、第一激發態能和振子強度研究了以二維諧振子本徵函數為基展開的波函數以及它在這些問題中的應用，此波函數的顯著優點是：在邊界處滿足波函數的連續性條件和粒子流的守恆條件，並且展開項數少，計算方便。Based on the requirement and target of the projects, firstly, pcf bragg grating are investigated theoretically and experimentally. moreover, the effects of filling high refractive index material ( nematic liquid crystal, nlc ) in pcfs on the transmission mechanism and propagation properties are studied by using plane - wave method and finite - element method ( fem ), farther, several novel pcfs are proposed and designed. lastly, we propose and demonstrate a clad - pumped er3 + / yb3 + - codoped fiber laser, which integrate all performances of broad - band tunable wavelength, uniform output power spectrum, high repeat frequency and high average power to together
本論文選題于國家973 、 863以及國家自然科學基金等項目，結合課題的要求和主要目標，在對光子晶體光纖（ pcfs ）傳輸特性研究的基礎上，首先對光子晶體光纖光柵進行了理論和實驗研究;然後，採用平面波展開法和有限單元法分析了在光纖的空氣孔中填充高折射率液晶對光纖傳導機制和傳輸特性的影響，提出並設計了幾種新型光子晶體光纖;最後，提出並研製成功連續可調諧、輸出功率譜均衡的全光纖化、高功率包層泵浦鉺鐿共摻光纖激光器實驗樣機。In this paper, the wavefunction is expanded in terms of the two - dimensional harmonic oscillator eigenfunction and the mismatch of the effective mass is considered. we calculate the energy of the ground state, the energy of the first excited state and the oscillator strength of the single electron in a square quantum wire with finite barriers
本文選取了以二維諧振子本徵函數為基展開的波函數，並且考慮了有效質量的失配性，計算了有限深方形量子線中單電子的基態能，激發態能和振子強度。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。The asynchronous motor is widely used for its simple construction, ruggedness, high working reliability, relatively low cost, and high environmental adaptability. it is suit for the direction of high voltage, high speed and large capacity. vector control is its ideal speed modulation method. the harmonics of three - level inverter are less than the traditional two - level inverter ’ s, and it is convenient to realize high sinusoidal voltage output. the maximum voltage strength which each electric component bears is small, and it is easy for three - level inverter to realize large capacity. the research on the asynchronous motor vector control based on the three - level inverter is one novel work
異步電機結構簡單、堅固耐用、運行可靠、成本低、環境適應性強，容易向高壓高速和大容量方向發展，獲得了廣泛應用，矢量控制為其理想的調速方法;三電平逆變器輸出端諧波少，有利於實現輸出電壓的正弦化，且單個開關管承受的最大電壓小，適合向高壓大容量方向發展。對基於三電平逆變器的異步電機調速系統開展矢量控制研究，是一件有意義的工作。Lacking of space locality in time domain, fourier analysis can only make certain of the integral singularity of a function or signal. as a result, it is difficult to detect the spatial position and distribution of broken signal by fourier analysis. wavelet analysis has the characteristic of spatial locality, and its wideness in both windows of the time and the frequency can be adjusted, so it can analyze the details of a signal
經典的fourier變換把信號按三角正、餘弦基展開，將任意函數表示為具有不同頻率的諧波函數的線性迭加，能較好地刻劃信號的頻率特性，但它在時空域上無任何分辨，不能作局部分析，這在理論和應用上都帶來了許多不便。In the field of fundamental research, such as quantum optics, blue light can be used as a pump source of optical parametric oscillator ( opo ) to generate the neoclassical light fields around wavelength of 860nm, which can be detected with 99. 9 % of quantum efficiency, the highest efficiency in the measurement of neoclassical light as known yet it is also possible to generate the squeezed vacuum state at 852nm, which is the resonance wavelength of the transition line d2 of cesium atoms and can be supposed to investigate the properties of atomic radiation in the interaction between atoms and quantum state of light fields
在量子光學中，該藍光作為下轉換的泵浦源，可以產生860nm非經典光場，其探測效率可達99 . 9 ，高於目前產生的其他任何波段的非經典光場。同時通過溫度調諧，可望產生與銫原子d2線作用的852nm波段的壓縮真空態，從而開展非經典光場與冷原子的相互作用等方面的實驗研究。本文主要通過knbo _ 3晶體外腔諧振倍頻技術來產生藍色激光光源。There were troubles in the continuity of the function and of its - derivative divided by band - mass on the boundary. in the theoretical calculation, the wave function is relative to the physical properties of the impurity greatly, the envelop function f ( x, y ) is expanded in terms of the one - dimensional linear harmonic oscillator function in this paper. it satisfies the continuity of the function and of its - derivative divided by the band - mass, so it improves the precision of the function and binding energy
與以往工作不同的是，以前選用的x ， y方向電子的包絡函數f （ x ， y ）是一維有限深量子阱中波函數的乘積，在邊界上波函數的連續性和粒子流的守恆條件存在問題；而在理論計算中，波函數的選取與雜質的物理性質有密切關系，本文選取的電子的包絡函數是用一維線性諧振子的波函數展開而成的，在邊界上能夠同時滿足波函數的連續性及粒子流（ 1 / m ~ * ） f ' （ x ， y ）的守恆條件，從而使得波函數和束縛能的精確度得到了改進。Three - level converter is a novel technology that is produced and developed in 1980 ' s. three - level ladder output voltage is accomplished by dc - side division voltage and different switch combination, and the capacity of converter system and endure voltage are efficiently improved, and the output voltage harmonics and switch loss are reduced
三電平換流器是20世紀80年代產生並發展起來的一種新興變流技術，它通過對直流側的分壓和開關動作的不同組合，實現三電平階梯波輸出電壓，能有效地提高換流器系統地容量和耐壓，減少輸出電壓諧波和開關損耗。According to the present actual underground power system which neutral point is grounded through arc suppression coil in many supper big shaft, the development history and present situation of synthetic protection system used in hv flameproof switchgear are reviewed, and on the basis of analyzing the problems existed in high voltage flameproof switchgear, the selective leakage protective method based on the detecting harmonic direction of zero sequence current as well as the value of zero sequence voltage is proposed in this paper, and at the same time, harmonics extracting schematic and transforming circuit are also designed
本文深入系統地研究了基於intel80c196kb單片機控制的6kv防爆開關綜合保護系統，主要內容如下：針對大型及特大型礦井供電系統中性點普遍採用消弧線圈接地方式的現狀，回顧了國內外礦用高壓防爆開關保護系統的發展歷史，分析了目前國內高壓饋電開關保護系統所存在的問題，提出了「基於零序電壓基波啟動，五次諧波功率方向比較」的選擇性漏電保護原理，設計了相應的五次諧波提取電路和功率方向鑒別電路。In order to solve the problem of voltage regulating, the control strategy of select harmonics elimination pulse width modulation ( shepwm ) was introduced. at the same time it was combined with optimum spwm, the range of voltage regulating was expended and the dc utilizable efficiency was improved
為解決變換器調壓問題，對基於選擇諧波消除的shepwm控制方案進行了研究，並將此種控制與開關點預置最優spwm相結合，進一步擴展系統調壓范圍，提高直流電壓利用率。The initial solutions of two - dimensional harmonic waves are given by landau expansion and the mean - flow - distortion is calculated by the approximation equation. furthermore, we employ iteration method and “ predictor - corrector approach ” to solve the nonlinear equations in order to implement the marching procedure, and the result of nonlinear two - dimensional stability is obtained precisely. the effect of pressure gradient is also studied here
文中所發展的數值方法，包括採用landau展開給出二維諧波的初始解、模擬流場的均流變形以及採用迭代和預估校正方法實現非線性方程的求解和推進，得到了二維擾動的非平行非線性穩定性的精確結果。分享友人