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相关概念视频

Linear Approximation in Frequency Domain01:26

Linear Approximation in Frequency Domain

328
Linear systems are characterized by two main properties: superposition and homogeneity. Superposition allows the response to multiple inputs to be the sum of the responses to each individual input. Homogeneity ensures that scaling an input by a scalar results in the response being scaled by the same scalar.
In contrast, nonlinear systems do not inherently possess these properties. However, for small deviations around an operating point, a nonlinear system can often be approximated as linear....
328
Properties of Fourier Transform II01:24

Properties of Fourier Transform II

682
The Fourier Transform (FT) is an essential mathematical tool in signal processing, transforming a time-domain signal into its frequency-domain representation. This transformation elucidates the relationship between time and frequency domains through several properties, each revealing unique aspects of signal behavior.
The Frequency Shifting property of Fourier Transforms highlights that a shift in the frequency domain corresponds to a phase shift in the time domain. Mathematically, if x(t) has...
682
Time and frequency -Domain Interpretation of Phase-lag Control01:21

Time and frequency -Domain Interpretation of Phase-lag Control

374
Phase-lag controllers are widely used in control systems to improve stability and reduce steady-state errors. A dimmer switch controlling the brightness of a light bulb serves as a practical example of phase-lag control, gradually adjusting the bulb's brightness. Mathematically, phase-lag control or low-pass filtering is represented when the factor 'a' is less than 1.
Phase-lag controllers do not place a pole at zero, but instead influence the steady-state error by amplifying any...
374
Reconstruction of Signal using Interpolation01:10

Reconstruction of Signal using Interpolation

659
Signal processing techniques are essential for accurately converting continuous signals to digital formats and vice versa. When a continuous signal is sampled with a period T, the resulting sampled signal exhibits replicas of the original spectrum in the frequency domain, spaced at intervals equal to the sampling frequency. To handle this sampled signal, a zero-order hold method can be applied, which creates a piecewise constant signal by retaining each sample's value until the next...
659
Time and frequency -Domain Interpretation of Phase-lead Control01:24

Time and frequency -Domain Interpretation of Phase-lead Control

406
Phase-lead controllers are commonly used in various control systems to enhance response speed and stability. Adjusting the brightness on a television screen offers a practical example of phase-lead control. When contrast is enhanced, a phase-lead controller is employed. Mathematically, phase-lead control is identified when the first parameter is smaller than the second.
The design of phase-lead control involves the strategic placement of poles and zeros to balance steady-state error and system...
406

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相关实验视频

Updated: Jan 6, 2026

Shaping the Amplitude and Phase of Laser Beams by Using a Phase-only Spatial Light Modulator
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在光子交错架构中的可编程空间频率线性转换.

Jonathan Friedman1,2, Kevin Zelaya1, Mostafa Honari-Latifpour1,2

  • 1Department of Physics, Queens College of the City University of New York, Queens, New York, 11367, USA.

Scientific reports
|October 8, 2025
PubMed
概括
此摘要是机器生成的。

研究人员开发了一种新的可编程光子电路,可以同时执行空间频率转换. 这一进步使灵活的光操纵能够用于波长解复和过等应用.

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科学领域:

  • 光子学是指光子学的使用方法.
  • 集成光学 集成光学 集成光学
  • 光学计算是指光学计算的应用.

背景情况:

  • 可编程的光子电路使用可重新配置的元素为离散的线性运算路由光.
  • 目前的研究重点是单模波导中的模态振幅转换.
  • 许多应用程序需要同时进行空间频域转换.

研究的目的:

  • 用一种新的可编程光子电路来实验证明线性空间频率转换.
  • 为了利用可重新配置的频率依赖矩阵元件的交替架构.

主要方法:

  • 采用了四个端口可编程的光子电路,采用了交替架构.
  • 在合波导阵列中利用有限分散.
  • 实现了波长去复数和过功能.

主要成果:

  • 成功演示了线性空间频率转换.
  • 实现了可重新配置的频率依赖矩阵元件.
  • 验证了用于波长解复和过的设备.

结论:

  • 开发的架构使多功能空间频率转换成为可能.
  • 这个平台可以导致用于波长路由和可编程分散控制的设备.
  • 为先进的光子信息处理铺平了道路.