Expand this Topic clickable element to expand a topic
Skip to content
Optica Publishing Group

Multiple scattering of a photon flux: implications for the integral average cosine of the underwater light field

Not Accessible

Your library or personal account may give you access

Abstract

It is shown that where μ̅s is the average cosine of scattering, then for any set of photons that undergoes exactly n scatterings per photon, the average cosine after scattering is μ̅0μ̅s n, where μ̅0 is the average cosine of the photon flux before scattering. For a set of photons that has traversed distance d through a medium with scattering coefficient b, the average cosine is μ̅0 exp[-bd(1 - μ̅s)]. For water bodies in which loss of upward-scattered photons through the surface is small enough to be disregarded, the value of μ̅c (the average cosine of all the photons instantaneously present in the water column) for any given incoming flux of photons with average cosine μ̅0 is determined entirely by the inherent optical properties of the water in accordance with μ̅c= μ̅0/[1 + (b/a)(1 - μ̅s)], where a and b are the absorption and scattering coefficients.

© 1999 Optical Society of America

Full Article  |  PDF Article
More Like This
Irradiance inversion theory to retrieve volume scattering function of seawater

Takafumi Hirata
Appl. Opt. 42(9) 1564-1573 (2003)

Optical model for use in oceanic ecosystem models

Cheng-Chien Liu, John D. Woods, and Curtis D. Mobley
Appl. Opt. 38(21) 4475-4485 (1999)

Ocean inherent optical property determination from in-water light field measurements

Robert A. Leathers, Collin S. Roesler, and Norman J. McCormick
Appl. Opt. 38(24) 5096-5103 (1999)

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Tables (2)

You do not have subscription access to this journal. Article tables are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Equations (45)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Select as filters


Select Topics Cancel
© Copyright 2024 | Optica Publishing Group. All Rights Reserved