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Related Concept Videos

The Phase Rule01:20

The Phase Rule

The phase rule describes the relationship between the variance (degrees of freedom), the number of components, and the number of phases in a system at equilibrium.Variance is a concept that denotes the number of independent intensive properties (properties are those that do not depend on the amount of material in the system), such as temperature, pressure, and composition, that can be altered without impacting the number of phases in equilibrium.In a single-component system, such as pure water,...
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...
Random and Systematic Errors01:20

Random and Systematic Errors

Scientists always try their best to record measurements with the utmost accuracy and precision. However, sometimes errors do occur. These errors can be random or systematic. Random errors are observed due to the inconsistency or fluctuation in the measurement process, or variations in the quantity itself that is being measured. Such errors fluctuate from being greater than or less than the true value in repeated measurements. Consider a scientist measuring the length of an earthworm using a...
Random and Systematic Errors01:20

Random and Systematic Errors

Scientists always try their best to record measurements with the utmost accuracy and precision. However, sometimes errors do occur. These errors can be random or systematic. Random errors are observed due to the inconsistency or fluctuation in the measurement process, or variations in the quantity itself that is being measured. Such errors fluctuate from being greater than or less than the true value in repeated measurements. Consider a scientist measuring the length of an earthworm using a...
Propagation of Uncertainty from Random Error00:59

Propagation of Uncertainty from Random Error

An experiment often consists of more than a single step. In this case, measurements at each step give rise to uncertainty. Because the measurements occur in successive steps, the uncertainty in one step necessarily contributes to that in the subsequent step. As we perform statistical analysis on these types of experiments, we must learn to account for the propagation of uncertainty from one step to the next. The propagation of uncertainty depends on the type of arithmetic operation performed on...
Random Error01:04

Random Error

Random or indeterminate errors originate from various uncontrollable variables, such as variations in environmental conditions, instrument imperfections, or the inherent variability of the phenomena being measured. Usually, these errors cannot be predicted, estimated, or characterized because their direction and magnitude often vary in magnitude and direction even during consecutive measurements. As a result, they are difficult to eliminate. However, the aggregate effect of these errors can be...

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Related Experiment Video

Updated: Jul 3, 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

Role of phase key in the double random phase encoding technique: an error analysis.

David S Monaghan1, Guohai Situ, Unnikrishnan Gopinathan

  • 1School of Electrical, Electronic and Mechanical Engineering, College of Engineering, Mathematics and Physical Sciences, Optoelectronic Research Centre, University College Dublin, Belfield, Dublin 4, Ireland.

Applied Optics
|July 22, 2008
PubMed
Summary

Errors in decryption keys for double random phase encryption significantly degrade image quality. This study quantifies how image-plane and Fourier-plane key errors impact decrypted images, revealing crucial insights for secure optical encryption systems.

Related Experiment Videos

Last Updated: Jul 3, 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

Area of Science:

  • Optics and Information Security
  • Digital Image Processing
  • Cryptography

Background:

  • Double random phase encryption (DRPE) is a widely used technique for secure optical information storage and transmission.
  • Understanding the impact of decryption key errors is crucial for the robustness of DRPE systems.
  • Previous studies have explored various aspects of DRPE, but a detailed numerical analysis of key error effects is needed.

Purpose of the Study:

  • To numerically analyze the effects of errors in decryption keys on the output gray-scale image in the double random phase encryption-decryption technique.
  • To quantify the impact of both image-plane and Fourier-plane key errors, individually and simultaneously, on the decrypted image quality.
  • To investigate the influence of quantization effects on the decryption process.

Main Methods:

  • Perfect encryption followed by imperfect decryption was performed.
  • Errors were introduced into the decryption keys using random distributions of incorrect pixel values.
  • Numerical simulations were conducted to quantify the effects of increasing error levels in the image-plane key, Fourier-plane key, and both keys.
  • Quantization effects were also examined.

Main Results:

  • Increasing errors in the image-plane key, Fourier-plane key, or both keys led to a significant degradation of the decrypted image quality.
  • The presence of errors in the keys resulted in a loss of information and increased noise in the output.
  • Quantization effects were observed to further impact the fidelity of the decrypted image.

Conclusions:

  • Decryption key errors pose a significant vulnerability to the double random phase encryption technique.
  • The study provides quantitative data on the sensitivity of the DRPE system to key inaccuracies.
  • Robust key management and error detection/correction mechanisms are essential for practical applications of DRPE.