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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...
Reconstruction of Signal using Interpolation01:10

Reconstruction of Signal using Interpolation

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 sampling...
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 Phase-lag Control01:21

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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.
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Phase-Contrast Microscopes
In-phase-contrast microscopes, interference between light directly passing through a cell and light refracted by cellular components is used to create high-contrast, high-resolution images without staining. It is the oldest and simplest type of microscope that creates an image by altering the wavelengths of light rays passing through the specimen. Altered wavelength paths are created using an annular stop in the condenser. The annular stop produces a hollow cone of...

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Shaping the Amplitude and Phase of Laser Beams by Using a Phase-only Spatial Light Modulator
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Compensation algorithm for the phase-shift error of polarization-based parallel two-step phase-shifting digital

Tatsuki Tahara1, Kenichi Ito, Takashi Kakue

  • 1Graduate School of Science and Technology, Kyoto Institute of Technology, Matsugasaki, Kyoto 606-8585, Japan.

Applied Optics
|March 3, 2011
PubMed
Summary

We developed a new algorithm to fix phase-shift errors in polarization-based digital holography. This method improves image accuracy and reduces noise, enhancing holographic recording performance.

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Area of Science:

  • Optics and Photonics
  • Digital Holography
  • Interferometry

Background:

  • Polarization-based parallel two-step phase-shifting digital holography records spatial phase-shifted holograms.
  • Existing systems suffer from phase differences caused by the extinction ratio of micropolarizer arrays.

Purpose of the Study:

  • To propose and formulate an algorithm for compensating phase-shift errors in polarization-based digital holography.
  • To improve the accuracy and performance of spatial phase-shifting interferometry.

Main Methods:

  • Developed a novel algorithm to correct phase-shift errors.
  • Validated the algorithm through numerical simulations.
  • Experimentally demonstrated the algorithm's effectiveness.

Main Results:

  • Numerical simulations showed a reduction in root mean square errors by 1/4 (amplitude) and 1/5 (phase).
  • Experimental results demonstrated suppression of the conjugate image, even with a 10:1 extinction ratio.
  • The algorithm ensures accurate spatial phase-shifting regardless of extinction ratio-induced errors.

Conclusions:

  • The proposed algorithm effectively compensates for phase-shift errors in polarization-based digital holography.
  • The method significantly enhances image quality and suppresses artifacts.
  • The algorithm's robustness and effectiveness are verified through both numerical and experimental studies.