本文研究了扫描共轭显微镜的探测位置稍微偏离光轴时显微镜三维变换函数的变化，以及对显微镜成像效果的影响。
Analytical expressions for the three-dimensional transfer functions for both the reflection and transmission cases are presented and the imaging that can occur if the detector is offset is discussed.
本文首次用一种改进的共轭算子法研究了六维非线性系统的三阶规范形以及所用的非线性变换。
An improved adjoint operator method is employed to compute the third order normal form of six dimensional nonlinear dynamical systems and the associated nonlinear transformation for the first time.
为了克服这一困难，本文通过引进一个仿射变换矩阵，构造仿射投影既约预条件共轭梯度路径来搜索获得迭代方向。
In order to overcome the difficulties, we introduce an affine scaling matrix, and form the affine scaling reduced preconditional conjugate gradient path to obtain a new accepted step.
因此，根据傅里叶变换的共轭对称性，提出了更具有一般性的长方环傅里叶周向谱能量百分比新算法。
So a new algorithm with rectangle loops Fourier spectral energy percentage is proposed by analyzing the conjugate symmetry of Fourier transform.
结果表明：直接对无透镜傅里叶数字全息图进行傅里叶逆变换可同时得到与物体完全相同的再现像及其共轭像；
The experimental result shows: In the digital Fourier holography, the reconstructed image and the conjugate image can be obtained by use of Fourier inverse transform directly.
并利用共轭、互易、反演点对变换方法图解高斯光束传输变换特性。
The conceptions of conjugation, exchange and inverse evolve point pair are used to explain the transformation properties of Gaussian beam.
推导出共轭对称序列的快速付里叶变换FFT具有相位为零的特性；
It is derived that the phase of the FFT for a conjugate-symmetric sequence is zero.
在求解过程中应用共轭梯度法(CGM)和快速傅立叶变换(FFT)相结合的方法降低所需计算机内存和CPU时间。
The conjugate gradient method (CGM) and fast Fourier transform (FFT) technique are used to reduce the necessary memory and CPU time.
该软件可分析设计稳定驻波腔、稳定行波腔、非稳驻波腔、非稳行波腔、相位共轭腔、光束传输变换等。
It can be used to analyze and design stable standing cavity, stable travelling cavity, unstable standing cavity, unstable travelling cavity, phase conjugate cavity and beam transmission and so on.
该软件可分析设计稳定驻波腔、稳定行波腔、非稳驻波腔、非稳行波腔、相位共轭腔、光束传输变换等。
It can be used to analyze and design stable standing cavity, stable travelling cavity, unstable standing cavity, unstable travelling cavity, phase conjugate cavity and beam transmission and so on.
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