fourier space 中文意思是什麼
fourier space
解釋
傅里葉空間-
This multi - purpose optical metering system had adopted the twyman - green interferometric system as its center, containing an advanced digital wave surface interferometry and a kind of homodyne interferometer displacement testing method with nanometer - sized capacity. at the same time, many wide - applied metering technology, for example, the diffracted field ( fringe ) measurement, co - focal lens system, optical fiber sensors and 4f ( focal distance ) space filter system which can embody the chief principle of fourier optics well, were combined into it successfully. this instrument can firstly offer and show modern optical testing method in the laboratory for majors of information processing, instrument science, measuring and testing technology and automatic technology
該多功能激光光電實驗系統以泰曼-格林干涉（ twyman - green ）光路作核心，包括先進的數字波面干涉技術和一種基於空間干涉原理的、納米解析度零差干涉儀位移測量方法，同時將多種新穎、工程實用價值高的測量技術和光路如衍射測量、共焦顯微技術、光纖傳感技術以及反映傅立葉光學基本光學原理的4f空間濾波系統也組合進去。 -
From the fourier space k corresponding to the scattering field of the object, an imaging evaluation mechanism based on the spatial spectral coverage is proposed
摘要從物體散射場對應的傅里葉空間出發，提出基於空間譜域分佈的成像系統定性評價體系。 -
One is the non - orthogonal gabor - daubechies frame, or g - d frame, a complete set of discrete window fourier functions which are constructed by space - shifting and harmonically modulating a gaussian window. although a g - d frame is not an orthogonal basis, it bears considerable advantages for the study of physical problems, especially those related to the wave field extrapolation, due to the optimal localization properties of the gaussian window function under the heisenberg uncertainty principle
其一為將高斯窗函數經平移和調制而構成的一組窗口富里葉框架（ gabor - daubechies框架，或g - d框架）基本函數，另一種為在富里葉分析和小波包理論基礎上發展起來的局部餘弦基函數。 -
Fluorescence power transfer function, three - dimensional point spread function ( 3d - psf ) and three - dimensional optical transfer function ( sd - otf ) for the various fluorescent wavelength of the two kinds of fluorescence confocal scanning microscopy are calculated in this paper by using fourier imaging theory. the results show that the fluorescent wavelength has influence on imaging property of confocal microscopy such as spatial cut - off frequency, resolution and 3d - otf. there is a different missing - cone in the 3 - d space of otf when the ratio of excitation wavelength to fluorescent wavelength decreases
本文在sheppard和gumin等人的理論基礎上，利用fourier光學成像理論，討論了不同熒光波長對單光子和雙光子共焦顯微鏡成像特性的影響，導出了單光子和雙光子共焦顯微鏡的熒光功率傳輸函數、三維脈沖響應函數和三維光學傳遞函數，得到了它們在不同激發波長與熒光波長比值時具體的表達式，並且通過數值計算，得到了它們的曲線圖，結果表明：隨著激發波長與熒光波長比值的增加，焦斑的橫向分佈和縱向分佈變窄，橫向解析度和縱向解析度提高，系統的成像效果變好，當激發波長與熒光波長的比值下降到一定程度時，可以看到不同程度的失錐現象。 -
Advanced mathematical technologies, especially the newly developed wavelet transform and the frame theory, provide a solid foundation for such an effort. the ray - theory based beam - summation method, such as the complex source - generated beam and the gaussian beam methods, and the local phase - space domain ( beamlet domain ) wave field extrapolation methods employing windowed fourier transform ( wft ) or wavelet transform are proposed consequently
基於射線理論的高頻漸近射束（復射束、高斯射束）疊加方法，以窗口富里葉變換（ wft ）以及小波變換為基礎的局部相位-空間域（小波束域）波場外推方法等相繼產生。 -
Based on the understanding and comparing of various spectrum analytical methods, and combining the development of fibre optics and sensor technology of imaging of solid state, a conceptual design of the space modulated fourier transform spectrometer is put forward in this article which is based on the triangle common - path interferometer and a multichannel detector ( ccd )
本文在了解和比較各種光譜分析方法的基礎上，結合光纖光學及固態成像傳感器技術的發展，提出一種基於三角共光路干涉儀和多通道探測器（ ccd ）的空間調制型傅里葉變換光譜儀的概念性設計。 -
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
小波分析優于傅里葉之處在於，小波分析在時域和頻域同時具有良好的局部化性質，因為小波函數是緊支集，而三角正、餘弦的區間是無窮區間，所以小波變換可以對高頻成分採用逐漸精細的時域或空間域取代步長，從而可以聚焦到對象的任意細節。 -
By considering the influence of heat relaxation time and heat relaxation length, fourier law was modified to fit the drastically changing of temperature in micro time and space scale, especially the time and space microscale effects were introducer simultaneity. and relevant conduction differential equations were established through combing the energy conversation law
考慮到熱鬆弛時間和熱鬆弛長度的影響，對在微小時間和空間尺度內溫度劇烈變化的熱傳導問題給出了同時考慮時間和空間微尺度效應的修正的fourier定律，結合能量守恆定律建立了相應的熱傳導微分方程。 -
Firstly, in the paper a family of integral solution representing ultrashort pulsed beam propagating in free space have been studied by using the co - moving frame coordinates and the fourier transformation for time variable in terms of well - known paraxial approximation. and the pulsed gaussian - like beam solution can be obtained as a especial solution of the integral solution, where including the pulsed gaussian beam
首先利用傅立葉變換和惠更斯-菲涅爾衍射積分公式，我們給出了傍軸標量場近似下超短脈沖光束傳輸的基本積分解，並進一步得到了用卷積形式表示的脈沖類gauss光束解（ pulsedgaussian - likebeam ）的普遍形式解。 -
But the complex analytical signal ( cas ) theory can erase this spatial sigu - larity. in this section, gauss, hyperbolic and lorentz pulsed gaussian beam have been derived and compared svea and cas solution by numerical simulatio n. in section 3, by using fourier transform technique and applying the paraxial approximation in frequency domain, we derive an integral solution for the transverse and longitudinal components of the light field propagating in free space
接著，考慮了幾種特殊的脈沖gauss光束（ pulsedgaussianbeam ） ，結果顯示，在此情況下緩變包絡近似（ slowly - varyingenvelopeapproximation ）理論已不再有效，其失效的原因是，該理論導致了脈沖光束解的空間奇異性，並使脈沖光束不再具有符合物理意義的光束行為，而通過復解析信號的分析方法可以消除這種空間奇異性。 -
In order to investigate the phenomenon that holograms tend to be deteriorated on baing recorded in photopolymers with shrinkage, a fourier hologram is taken with slant gratings formed by the reference beam and object beams of different space - frequency
摘要為了分析光致聚合材料記錄的譜面全息圖在再現過程中發生「擦除」現象，將譜面全息圖看作由不同角譜的物光與參考光在光致聚合材料內形成的不同傾斜角度的光柵總和。 -
By simulating mathematically on frequency and on space, we can find the average speed of space field and the average speed of frequency field that is weighted by amplitude, and analyse their relation, and analyse the meaning of space speed variance x and frequency speed variance v. in the fourth part, how to ensure the height of cloud is introduced, and basing on the theory of wind field continuity, the height updating quality controlling is introduced. in the fifth part, the system of cloud wind is introduced, we tracked cloud - motion of consecutive satellite images with one - minute interval by the 1 - d fourier analysis technique and the two - dim fourier analysis technique and the fft analysis technique, and dispose them with quality controlling. in the sixth part, we summarized our research and put up with shortages of this article
模擬模塊內各點的速度線性變化時，得到空間域平均速度以及頻率域以振幅為權重的平均速度，分析了空間域平均速度和頻率域以振幅為權重的平均速度的關系，並揭示空間域的平均速度的標準差_ x和頻率域的振幅為權重的平均速度的標準差_ v的意義，以及它們之間的關系；第四章介紹了雲跡風系統的高度指定以及風矢高度的劃分，並根據風場連續性原理，介紹了高度調整法的質量控制；第五章介紹導風系統的流程，選擇了三個時刻的ir雲圖，分別用一維傅立葉相位法、二維傅立葉相位法和快速傅立葉演算法計算一個風場個例，並對所得風場進行質量控制，並給出風場圖；第六章進行研究總結，指出不足和有待于進一步研究之處。 -
Author, secondly, starts from the approximate expandness of square root operator, perform mathematical calculations for finite difference operator in frequency - space domain, fourier finite difference operator in mixing domain ( frequency - space and frequency - wavenumber domain ) and general screen operator in mixing domain, compare and discuss their precision of their wavefield, adaptability for lateral velocity variations, computation efficiency and stability. thirdly, author, applies the steady variational reference slowness rytov approximation general screen wavefield extrapolation operator ( vrselrf ) in frequency - wavenumber domain, to the prestack and poststack forward modeling and depth migration
第二，從平方根運算元的近似展開出發對頻率?空間域的有限差分運算元、混合域（頻率?空間域；頻率?波數域）的fourier有限差分運算元、混合域的廣義屏運算元進行了推導並對其波場描述精度、對橫向變速的適應性、計算效率和穩定性進行了比較與評述。 -
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。 -
Using the displacement functions and the technique of double fourier transform, the governing differential equations for transversely isotropic saturated poroelastic media are easily solved and, the fourier transformed stress and displacement solutions coorespondingly are obtained. then, under the boundary conditions, the analytical solutions for half - space are presented
藉助位移函數及雙重fourier變換，研究了直角坐標系下橫觀各向同性飽和土的動力響應問題，得到了飽和半空間體在任意分佈的表面諧振荷載作用下穩態響應的一般解。 -
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。 -
The expression and description methods of space curve are demonstrated. the methods of using moment, fourier to describe the space curve is proposed
討論空間曲線的表達和描述方法，提出用矩和傅里葉描述符描述空間曲線的方法。 -
Research on dynamic alignment for space - borne fourier transform spectrometers
星載傅里葉光譜儀動態校正技術研究 -
In reference [ 3 ], shi, j. h. defines the norm with fourier coefficient of function, obtains a new space - - v space, and gives some complete characterizations of function properties
在文獻[ 3 ]中，史濟懷用函數的fourier系數定義其范數，從而給出了一種新的空間? ? d ~ p空間，並對其函數的性質進行了較系統完備的刻劃。 -
Using the fourier transform due to boundary conditions of simply support, solutions of a single magneto - electro - elastic layer in the form of initial state vector and transfer matrix are obtained in fourier transform space from the state vector equations
對狀態變量方程進行fourier變換，得到了狀態變量表示的單層壓電壓磁彈性層合板在fourier變換空間中的解，導出了多層壓電壓磁彈性層合板的表達式。
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