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

Time-dependent equation for the intensity in the diffusion limit using a higher-order angular expansion.

M Gershenson1

  • 1Coastal Systems Station, Code R22, Panama City, Florida 32407, USA.

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|April 24, 2002
PubMed
Summary

This study develops a higher-order spherical-harmonic expansion for the radiative transfer equation, improving predictions for light intensity in multiple scattering scenarios beyond the standard diffusion equation.

Related Concept Videos

You might also read

Related Articles

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

Sort by
Same journal

Efficient Monte Carlo simulations using a shuffled nested Weyl sequence random number generator.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·2002
Same journal

Spatiotemporal dynamics of electromagnetic pulses in saturating nonlinear optical media with normal group velocity dispersion.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·2002
Same journal

Soliton-breather reaction pathways.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·2002
Same journal

Calculation of electromagnetic properties of regular and random arrays of metallic and dielectric cylinders.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·2002
Same journal

Electromagnetic convective cells in a nonuniform dusty plasma.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·2002
Same journal

Stability of neural networks and solitons of field theory.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·2002

Area of Science:

  • Physics
  • Optics
  • Radiative Transfer

Background:

  • The diffusion equation, derived from the P(1) approximation of the radiative transfer equation, models multiple scattering but has limitations.
  • This approximation relates energy density to light intensity.

Purpose of the Study:

  • To develop a higher-order spherical-harmonic expansion of the radiative transfer equation.
  • To apply this new model to radiant intensity, offering improved predictions for multiple scattering.

Main Methods:

  • Developed a higher-order spherical-harmonic expansion of the radiative transfer equation.
  • Decomposed the equation into propagator and mixing matrix terms.
  • Applied Fourier transform and small wave vector approximation.

Related Experiment Videos

Main Results:

  • The new equation applies to radiant intensity, not just energy density.
  • An approximation yields an equation similar to the diffusion equation.
  • The model is expected to predict intensity earlier and at shorter distances than the diffusion equation.

Conclusions:

  • A novel radiative transfer equation based on higher-order spherical harmonics is presented.
  • This approach offers enhanced predictive capabilities for multiple scattering phenomena.
  • Introduced the concept of an equivalent wave field for intensity prediction.