Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Symmetry in Maxwell's Equations01:28

Symmetry in Maxwell's Equations

3.9K
Once the fields have been calculated using Maxwell's four equations, the Lorentz force equation gives the force that the fields exert on a charged particle moving with a certain velocity. The Lorentz force equation combines the force of the electric field and of the magnetic field on the moving charge. Maxwell's equations and the Lorentz force law together encompass all the laws of electricity and magnetism. The symmetry that Maxwell introduced into his mathematical framework may not be...
3.9K
Plane Electromagnetic Waves II01:29

Plane Electromagnetic Waves II

3.9K
Consider a plane wavefront traveling in position x-direction with a constant speed. This wavefront can be utilized to obtain the relationship between electric and magnetic fields with the help of Faraday's law.
3.9K
Plane Electromagnetic Waves I01:30

Plane Electromagnetic Waves I

4.6K
The existence of combined electric and magnetic fields that propagate through space as electromagnetic (EM) waves is the most significant prediction of Maxwell's equations. As Maxwell's equations hold in free space, the predicted electromagnetic waves do not require a medium for their propagation. An EM wave comprises an electric field, defined as the force per charge on a stationary charge, and a magnetic field, which is the force per charge on a moving charge.
The EM field is assumed to be a...
4.6K
Equations of Wave Motion01:02

Equations of Wave Motion

6.7K
Mathematically, the motion of a wave can be studied using a wavefunction. Consider a string oscillating up and down in simple harmonic motion, having a period T. The wave on the string is sinusoidal and is translated in the positive x-direction as time progresses. Sine is a function of the angle θ, oscillating between +A and −A and repeating every 2π radians. To construct a wave model, the ratio of the angle θ and the position x is considered.
6.7K
Electromagnetic Wave Equation01:24

Electromagnetic Wave Equation

1.8K
Maxwell's equations for electromagnetic fields are related to source charges, either static or moving. These fields act on a test charge, whose trajectory can thus be determined using suitable boundary conditions. The objective of electromagnetism is thus theoretically complete.
However, although electric and magnetic fields were first introduced as mathematical constructs to simplify the description of mutual forces between charges, a natural question emerges from Maxwell's equations:...
1.8K
Divergence and Stokes' Theorems01:06

Divergence and Stokes' Theorems

3.1K
The divergence and Stokes' theorems are a variation of Green's theorem in a higher dimension. They are also a generalization of the fundamental theorem of calculus. The divergence theorem and Stokes' theorem are in a way similar to each other; The divergence theorem relates to the dot product of a vector, while Stokes' theorem relates to the curl of a vector. Many applications in physics and engineering make use of the divergence and Stokes' theorems, enabling us to write...
3.1K

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

A zinc finger protein transcription factor PpZFP6 controls flavonoid biosynthesis in peach by regulating a UDP-glucose 3-O-glucosyltransferase gene <i>PpUGT73C3</i> expression.

Molecular breeding : new strategies in plant improvement·2026
Same author

CaSnRK2.4-interacting CaUDP-D (UDP-D-apiose/UDP-D-xylose synthase) positively regulates cold tolerance in Pepper (Capsicum annuum L.).

Plant science : an international journal of experimental plant biology·2026
Same author

Safety and feasibility of same-day discharge after peroral endoscopic myotomy in esophageal motility disorders: a systematic review and meta-analysis.

Surgical endoscopy·2026
Same author

Improved Performance of Transthyretin Cardiac Amyloidosis Score by Addition of High-Sensitivity Troponin I: The SCAN-MP Study.

JACC. Heart failure·2026
Same author

Remimazolam versus Midazolam for Moderate Sedation in Gastrointestinal Endoscopy: A Systematic Review and Meta-analysis of Randomized Controlled Trials.

Gastrointestinal endoscopy·2026
Same author

Diagnostic Performance of the Mayo ATTR-CM Score in Diverse Populations: Comparison With the AMY Score.

JACC. Advances·2026

Related Experiment Video

Updated: Nov 27, 2025

A Guide to Structured Illumination TIRF Microscopy at High Speed with Multiple Colors
11:15

A Guide to Structured Illumination TIRF Microscopy at High Speed with Multiple Colors

Published on: May 30, 2016

25.8K

Image Encryption Using Elliptic Curves and Rossby/Drift Wave Triads.

Ikram Ullah1, Umar Hayat1, Miguel D Bustamante2

  • 1Department of Mathematics, Quaid-i-Azam University, Islamabad 45320, Pakistan.

Entropy (Basel, Switzerland)
|December 8, 2020
PubMed
Summary
This summary is machine-generated.

This study introduces a novel image encryption scheme using quasi-resonant wave triads and Mordell elliptic curves (MECs) to generate pseudo-random numbers and dynamic substitution boxes, enhancing image security.

Keywords:
Mordell elliptic curvepseudo-random numbersquasi-resonant Rossby/drift wave triadssubstitution box

More Related Videos

Experimental Investigation of Secondary Flow Structures Downstream of a Model Type IV Stent Failure in a 180&#176; Curved Artery Test Section
11:00

Experimental Investigation of Secondary Flow Structures Downstream of a Model Type IV Stent Failure in a 180° Curved Artery Test Section

Published on: July 19, 2016

11.8K
A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference
07:56

A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference

Published on: September 5, 2019

8.8K

Related Experiment Videos

Last Updated: Nov 27, 2025

A Guide to Structured Illumination TIRF Microscopy at High Speed with Multiple Colors
11:15

A Guide to Structured Illumination TIRF Microscopy at High Speed with Multiple Colors

Published on: May 30, 2016

25.8K
Experimental Investigation of Secondary Flow Structures Downstream of a Model Type IV Stent Failure in a 180&#176; Curved Artery Test Section
11:00

Experimental Investigation of Secondary Flow Structures Downstream of a Model Type IV Stent Failure in a 180° Curved Artery Test Section

Published on: July 19, 2016

11.8K
A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference
07:56

A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference

Published on: September 5, 2019

8.8K

Area of Science:

  • Cryptography
  • Applied Mathematics
  • Image Processing

Background:

  • Traditional image encryption methods face challenges in security and efficiency.
  • Elliptic curves and wave phenomena offer complex mathematical structures for cryptographic applications.

Purpose of the Study:

  • To develop a secure and efficient image encryption scheme.
  • To leverage quasi-resonant wave triads and Mordell elliptic curves (MECs) for enhanced cryptographic properties.

Main Methods:

  • Generating pseudo-random numbers using ordered quasi-resonant triads and elliptic surface parameters.
  • Constructing a dynamic substitution box (S-box) based on Mordell elliptic curves.
  • Implementing diffusion and confusion using the generated pseudo-random numbers and S-box.

Main Results:

  • The proposed scheme demonstrates high security against known attacks.
  • Experimental results on the USC-SIPI image database confirm the scheme's effectiveness.
  • The encryption scheme achieves superior performance compared to existing popular methods.

Conclusions:

  • The novel image encryption scheme offers robust security and efficiency.
  • The integration of quasi-resonant wave triads and MECs provides a strong foundation for modern cryptography.
  • This approach represents a significant advancement in secure image processing.