OV_Phase.m

这个Matlab程序利用0~255灰度色彩表示涡旋光束的相位分布，能够根据需求绘制任意阶数的涡旋光相位分布。

C. Qian, X. Fu, N.D. Sidiropoulos, L. Huang, and J. Xie explore phase retrieval in the presence of outliers in their paper published in the IEEE Transactions on Signal Processing. Typically, phase retrieval algorithms perform well under Gaussian noise; however, their performance severely degrades with significant data corruption. This study investigates heavy-tailed phase retrieval techniques, proposing p-norm estimators (0 < p>imprecise alternating optimization are introduced to tackle the resulting optimization problem. Notably, the core minimization step can be interpreted as iterative reweighted least squares and gradient descent. The authors discuss the convergence properties of the algorithms and derive the Cramer-Rao Bound (CRB). Simulations demonstrate that the proposed algorithms are effective and close to optimal.

近年来，涡旋光束由于在囚禁和操控原子及其他微粒中的应用而引起了不少关注和研究。涡旋光束在光束的传播方向上有一个位相项e(ilθ)，而且它拥有一个光束轨道角动量。该MATLAB程序实现了从一个高斯基模变换到涡旋光束的基本功能。

该程序生成一个图形，用于说明相位干涉测量，其中一个辐射(E,B)在远场区被认为准时的电磁源正以传感器间距的半波长d=λ/2撞击N个元件的均匀线性阵列。在该图中，注意到了连续的相位delta_i，以及阵列的辐射方向图被描述为E(theta)，因此该图可用于课程、演示或科学论文。

在本示例中，Matlab代码实现了非线性求解器，用于模拟多Kong介质中的流动。代码使用牛顿-拉夫森法求解方程f(x) = 0，基本步骤如下： 初始化x0。 计算更新：x1 = x0 - f(x0) / f'(x0)。 构建矩阵形式：A = df1/dx1 ... dfN/dxN，b = -f1 ... -fN。 解线性方程Ax = b，更新x = x + alpha * dx（对于非阻尼情况，alpha = 1）。 计算残差|f + f'dx| / |f|，检查收敛性。

MATLAB development focuses on single-phase rectifiers. This includes the simulation of single-phase bridge rectifiers with filter capacitors and the analysis of third harmonic distortion.

This three-phase asynchronous motor servo control simulation provides a MATLAB source file that can be executed directly. With this simulation, users can observe the dynamic response and control characteristics of three-phase asynchronous motors under servo control, making it ideal for educational and experimental applications. The MATLAB script includes initialization parameters, control loops, and performance metrics analysis for enhanced understanding.

The Single-Phase SPWM Inverter is modeled using Simulink. This approach is particularly easy for beginners to understand and implement. By using Simulink, users can create a single-phase SPWM inverter that simulates the pulse-width modulation (PWM) technique for controlling the inverter's output voltage and frequency. The simple block diagram in Simulink allows for clear visualization of the inverter’s working and its real-time simulation, making it an excellent tool for learning and experimenting with SPWM inverter designs.

该模型模拟了空间矢量脉宽调制的三相逆变器。SVPWM思想已从Matlab驱动库中使用。

三相半波整流电路的工作原理如下：该电路通过将三相中的每一相单独形成半波整流电路，三个电压半波在时间上依次相差120度并叠加。结果，整流输出波形始终不过0点，且在一个周期内有三个宽度为120度的整流半波。滤波电容器的容量相较于单相整流电路较小。此类电路广泛应用于直流电动机调速、发电机励磁调节、电解及电镀等领域。常见的整流电路类型还包括单相桥式半控、全控整流电路及三相桥式全控整流电路等。