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 Experiment Videos

Wavelet operators for nonlinear optical pulse propagation.

I Pierce1, P Rees, K A Shore

  • 1School of Informatics, University of Wales, Bangor, Gwynedd, UK. iestyn@sees.bangor.ac.uk

Journal of the Optical Society of America. A, Optics, Image Science, and Vision
|January 5, 2001
PubMed
Summary

Discrete wavelet transforms offer a faster method for simulating optical pulse propagation in nonlinear media. This approach matches traditional simulations while improving execution speed for nonlinear Schrödinger equation problems.

Related Concept Videos

You might also read

Related Articles

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

Sort by
Same author

Defence Medical Services' REBOA training course.

BMJ military health·2021
Same author

Balloons on the battlefield: REBOA implementation in the UK Defence Medical Services.

BMJ military health·2021
Same author

The REBOA window: a cadaveric study delineating the optimum site for austere cannulation of the femoral artery for resuscitative endovascular balloon occlusion of the aorta.

BMJ military health·2020
Same author

Application of automated electron microscopy imaging and machine learning to characterise and quantify nanoparticle dispersion in aqueous media.

Journal of microscopy·2019
Same author

The athletic ECG.

Journal of the Royal Naval Medical Service·2018
Same author

Organic matter identifies the nano-mechanical properties of native soil aggregates.

Nanoscale·2017

Area of Science:

  • Optics and Photonics
  • Computational Physics
  • Applied Mathematics

Background:

  • Optical pulse propagation in nonlinear media is often modeled using complex evolution equations.
  • Traditional numerical methods, such as the split-step Fourier method, are computationally intensive.
  • Efficient simulation techniques are crucial for advancing research in nonlinear optics.

Purpose of the Study:

  • To introduce and evaluate a novel method for solving optical pulse propagation problems.
  • To apply discrete wavelet transforms to the nonlinear Schrödinger equation.
  • To compare the performance of wavelet-based methods with existing techniques.

Main Methods:

  • The study outlines the theory of orthogonal wavelet transforms.
  • Wavelet transforms are applied to represent optical pulses and propagation operators.

Related Experiment Videos

  • The method is tested on the nonlinear Schrödinger equation.

    • Main Results:

    • Wavelet transform simulations yield results indistinguishable from traditional Fourier-based methods.
    • The compression properties of wavelet representations allow for significant speed improvements.
    • Execution speed is notably enhanced compared to the split-step Fourier method.

    Conclusions:

    • Discrete wavelet transforms provide an efficient and accurate alternative for simulating optical pulse propagation.
    • This method offers a computational advantage for studying nonlinear optical phenomena.
    • The wavelet-based approach represents a significant advancement in numerical techniques for optics.