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Related Concept Videos

Time and frequency -Domain Interpretation of Phase-lead Control01:24

Time and frequency -Domain Interpretation of Phase-lead Control

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...
Phase-lead and Phase-lag Controllers01:22

Phase-lead and Phase-lag Controllers

Understanding the working function of different types of controllers can be illustrated with practical analogies, such as adjusting a stereo's volume equalizer. Cranking up the bass involves a phase-lead controller, which functions as a high-pass filter, while increasing the treble uses a phase-lag controller, which acts as a low-pass filter. PD controllers, similar to high-pass filters, enhance the system's response to high-frequency components. PI controllers, akin to low-pass filters, manage...
Time and frequency -Domain Interpretation of Phase-lag Control01:21

Time and frequency -Domain Interpretation of Phase-lag Control

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 finite,...
Gain01:15

Gain

Gain and phase shift are properties of linear circuits that describe the effect a circuit has on a sinusoidal input voltage or current. The circuit's behavior that contains reactive elements will depend on the frequency of the input sinusoid. As a result, it is observed that the gain and phase shift will all be frequency functions.
Gain:
Suppose Vin is the input and Vout is the output signal to a circuit.
Transmission Line Design Considerations01:23

Transmission Line Design Considerations

Aluminum has become the material of choice for overhead transmission lines, surpassing copper due to its abundance and cost-effectiveness. The most prevalent type is the aluminum conductor, steel-reinforced (ACSR), which combines aluminum strands around a steel core. Other variants include all-aluminum conductors (AAC), all-aluminum alloy conductors (AAAC), aluminum conductor alloy-reinforced (ACAR), and aluminum-clad steel conductors. Advanced designs, such as aluminum conductors with steel...
Design Example: Capacitance Multiplier Circuit01:20

Design Example: Capacitance Multiplier Circuit

In integrated circuit technology, a capacitance multiplier is often utilized to produce a larger capacitance value when a small physical capacitance falls short. This is achieved by a circuit that multiplies capacitance values by a factor of up to 1000, such that a 10-pF capacitor can replicate the performance of a 100-nF capacitor.
The circuit illustrated in Figure 1 below incorporates two op-amps, with the first operating as a voltage follower and the second acting as an inverting amplifier.

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Related Experiment Video

Updated: Jun 15, 2026

Shaping the Amplitude and Phase of Laser Beams by Using a Phase-only Spatial Light Modulator
08:39

Shaping the Amplitude and Phase of Laser Beams by Using a Phase-only Spatial Light Modulator

Published on: January 28, 2019

Multilayer coating design achieving a broadband 90 degrees phase shift.

W H Southwell

    Applied Optics
    |March 18, 2010
    PubMed
    Summary
    This summary is machine-generated.

    Specially designed multilayer coatings control polarization states at nonnormal incidence angles. Achieving a 90-degree phase shift requires precise layer deposition within 1% tolerance for optimal performance.

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    Shaping the Amplitude and Phase of Laser Beams by Using a Phase-only Spatial Light Modulator
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    Area of Science:

    • Optics and Photonics
    • Materials Science

    Background:

    • Polarization control is crucial in optical systems.
    • Multilayer coatings offer tunable optical properties.

    Purpose of the Study:

    • To design a multilayer coating for polarization control.
    • To achieve a specific phase shift between p- and s-polarization components.
    • To maintain high reflectivity across a wavelength range.

    Main Methods:

    • Utilized an optimization technique to determine layer thicknesses.
    • Simulated coating performance for specific phase shift and reflectivity targets.
    • Conducted a tolerance analysis on layer deposition accuracy.

    Main Results:

    • Developed a coating design yielding a 90-degree phase shift.
    • The design operates over a wavelength range of +/-5% relative to the central wavelength.
    • High reflectivities for both p- and s-polarization components were maintained.
    • Tolerance analysis showed +/-1% layer deposition accuracy is needed for +/-3 degrees phase shift error.

    Conclusions:

    • Multilayer coatings can effectively control polarization states.
    • Precise layer thickness control is critical for achieving desired optical performance.
    • The developed design offers a practical solution for polarization manipulation in optical applications.