Fundamental reformulation of the radiative transport equation

Henry Berger; Robert S. Rand

doi:10.1117/12.559773

4 November 2004 Fundamental reformulation of the radiative transport equation

Henry Berger, Robert S. Rand

Proceedings Volume 5543, Infrared Spaceborne Remote Sensing XII; (2004) https://doi.org/10.1117/12.559773
Event: Optical Science and Technology, the SPIE 49th Annual Meeting, 2004, Denver, Colorado, United States

Abstract

There is a branch of radiative transport theory that is customarily expressed with an integrodifferential equation or an integral equation. The new formulation in this article is, without approximation, expressed through partial differential equations in both the frequency and time domains. Its accuracy is demonstrated in the frequency domain by applying it to a problem solved long ago. It was expressed with the conventional integrodifferential equation. Confidence is bolstered in the new method by showing how the new method produces the identical analytical answer. This article also analyses a situation in the time domain in both the appropriate differential and integrodifferential equations and the identical results are again obtained.

Citation Download Citation

Henry Berger and Robert S. Rand "Fundamental reformulation of the radiative transport equation", Proc. SPIE 5543, Infrared Spaceborne Remote Sensing XII, (4 November 2004); https://doi.org/10.1117/12.559773

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available