Accession Number : AD0437762


Title :   INVARIANT IMBEDDING AND SCATTERING OF LIGHT IN A ONE-DIMENSIONAL MEDIUM WITH A MOVING BOUNDARY


Corporate Author : RAND CORP SANTA MONICA CA


Personal Author(s) : Bellman, Richard ; Kalaba, Robert ; Ueno, Sueo


Full Text : https://apps.dtic.mil/dtic/tr/fulltext/u2/437762.pdf


Report Date : Mar 1964


Pagination or Media Count : 26


Abstract : It is shown how the invariant-imbedding technique is used for the derivation of integral equations governing the reflection and the transmission coefficients of radiation in a one-dimensional medium with a moving boundary. When formulating the source function, account is taken by the relaxation of photon emission under the assumption that during an elementary act of scattering a photon remains in a state of absorption for a certain duration of temporal capture. The Schuster problem for a moving one-dimensional medium is exactly treated. When formulating the transfer equations, the influence of the Doppler effect caused by the macroscopic differential motions is considered as a principal agency of the change of frequency on scattering.


Descriptors :   *INTEGRAL EQUATIONS , *LIGHT , ABSORPTION , ASTROPHYSICS , DOPPLER EFFECT , EMISSION , FIELD THEORY , PHOTONS , REFLECTION , SCATTERING


Subject Categories : Numerical Mathematics


Distribution Statement : APPROVED FOR PUBLIC RELEASE