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

Diffusion of particles moving with constant speed.

S A Ramakrishna1, N Kumar

  • 1Raman Research Institute, Sadashivanagar, Bangalore 560 080, India. sar@rri.ernet.in

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|April 24, 2002
PubMed
Summary
This summary is machine-generated.

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

Mapping of a major QTL for pre-harvest sprouting tolerance on chromosome 3A in bread wheat.

TAG. Theoretical and applied genetics. Theoretische und angewandte Genetik·2005
Same author

Unusual neuroimaging in superficial siderosis.

Neurology·2005
Same author

Tuberculin survey in government high school of Dharan municipality.

JNMA; journal of the Nepal Medical Association·2005
Same author

Prediction of fixation failure after sliding hip screw fixation [Injury 2004;35:994-8].

Injury·2005
Same author

The incidence of visual impairment due to diabetic retinopathy in Leeds.

Eye (London, England)·2005
Same author

Structural characterization, expression analysis and evolution of the red/far-red sensing photoreceptor gene, phytochrome C (PHYC), localized on the 'B' genome of hexaploid wheat (Triticum aestivum L.).

Planta·2005
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
See all related articles

Photon propagation in scattering media is modeled as Brownian motion with constant speed. Diffusion approximation is valid only after eight mean free times, a key experimental finding.

Area of Science:

  • Physics
  • Optics
  • Statistical Mechanics

Background:

  • Light propagation in scattering media is complex.
  • Modeling photon behavior requires understanding interactions with the medium.

Purpose of the Study:

  • To model light propagation in scattering media using Brownian motion.
  • To derive and solve the Fokker-Planck equation for photon distribution.
  • To investigate the validity of diffusion approximation and calculate persistence exponent.

Main Methods:

  • Modeling photon motion as a constrained Brownian particle.
  • Deriving a Fokker-Planck equation for phase space probability distribution.
  • Obtaining analytic expressions for displacement moments and approximate probability distribution.

Related Experiment Videos

  • Performing exact numerical solutions for various geometries.
  • Calculating the persistence exponent via survival probability in 2D.

    • Main Results:

    • The velocity distribution randomizes after approximately eight mean free times (8t*).
    • The diffusion approximation becomes valid only after this randomization period.
    • A persistence exponent of 0.435+/-0.005 was calculated for the 2D process.
    • Exact numerical solutions for phase space probability distributions were obtained.

    Conclusions:

    • The study provides a theoretical framework for light propagation in scattering media.
    • It confirms the experimental observation regarding the time for diffusion approximation validity.
    • The findings offer insights into photon behavior and persistence in complex media.