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Related Concept Videos

Phasor Arithmetics01:13

Phasor Arithmetics

Phasors and their corresponding sinusoids are interrelated, offering unique insights into the behavior of alternating current (AC) circuits. One way to understand this relationship is through the operations of differentiation and integration in both the time and phasor domains.
When the derivative of a sinusoid is taken in the time domain, it transforms into its corresponding phasor multiplied by j-omega (jω) in the phasor domain, where j is the imaginary unit, and ω is the angular frequency.
Time and frequency -Domain Interpretation of PI Control01:27

Time and frequency -Domain Interpretation of PI Control

Proportional-Integral (PI) controllers are essential in many control systems to improve stability and performance. They are commonly used in everyday devices like thermostats to enhance system damping and reduce steady-state error. When the zero in the controller's transfer function is optimally placed, the system benefits significantly in terms of stability and accuracy.
Acting as a low-pass filter, the PI controller slows the system's response and extends settling times. This requires careful...
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.
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Intensity Of Electromagnetic Waves01:22

Intensity Of Electromagnetic Waves

The energy transport per unit area per unit time, or the Poynting vector, gives the energy flux of an electromagnetic wave at any specific time. For a plane electromagnetic wave with E0 and B0 as the peak electric and magnetic fields and traveling along the x-axis, the time-varying energy flux can be given by the following equation:
Insensitive Nuclei Enhanced by Polarization Transfer (INEPT)01:15

Insensitive Nuclei Enhanced by Polarization Transfer (INEPT)

Insensitive Nuclei Enhanced by Polarization Transfer (INEPT) is an advanced Nuclear Magnetic Resonance (NMR) technique specifically designed to detect and enhance the signals of low-abundance nuclei, such as carbon-13 and nitrogen-15, in small molecules. The fundamental principle behind INEPT is the transfer of polarization from a more abundant and highly polarizable nucleus, typically hydrogen-1, to the low-abundance nucleus of interest. This process effectively boosts the NMR signal of the...
Double Resonance Techniques: Overview01:12

Double Resonance Techniques: Overview

Double resonance techniques in Nuclear Magnetic Resonance (NMR) spectroscopy involve the simultaneous application of two different frequencies or radiofrequency pulses to manipulate and observe two distinct nuclear spins. One important application of double resonance is spin decoupling, which selectively suppresses coupling with one type of nucleus while observing the NMR signal from another nucleus, simplifying the spectrum and enhancing resolution.
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Related Experiment Video

Updated: Jun 20, 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

Phase retrieval using two intensity measurements in the complex plane.

J W Wood, M A Fiddy, R E Burge

    Optics Letters
    |August 28, 2009
    PubMed
    Summary
    This summary is machine-generated.

    A novel exponential filter method determines scattered field phase from intensity distribution zeros. This approach simplifies phase retrieval by not always needing all zero coordinates.

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

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    Published on: January 28, 2019

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    Published on: September 5, 2019

    Area of Science:

    • Optics and Photonics
    • Signal Processing

    Background:

    • Phase retrieval is crucial in various imaging and optical techniques.
    • Traditional methods can be computationally intensive or require specific experimental conditions.

    Purpose of the Study:

    • To introduce a new method for determining the phase of a scattered field.
    • To leverage intensity distribution in the complex plane for phase retrieval.

    Main Methods:

    • Utilizing an exponential filter to generate an intensity distribution.
    • Analyzing the intensity distribution in the complex plane.
    • Relating intensity on the real axis to zero locations.

    Main Results:

    • The method successfully generates an intensity distribution.
    • The phase of the scattered field can be determined from zero locations.
    • Complete knowledge of all zero coordinates is not always necessary.

    Conclusions:

    • The proposed exponential filter method offers an efficient approach to phase retrieval.
    • This technique simplifies phase determination by focusing on zero locations.
    • Potential for broader applications in optical measurements and imaging.