Literature cited
N. N. Rogovtsov, “Determination of the spatial moments of the source functions for plane-parallel and spherically symmetrical scattering media,” Zh. Prikl. Spektrosk.,21, No. 3, 517–522 (1974).
N. N. Rogovtsov and A. M. Samson, Integral Relations and Quantities in the Theory of Multiple Scattering of Light in Homogeneous and Inhomogeneous Media [in Russian], Pre-Print Inst. Fiz. Akad. Nauk BSSR No. 91, Minsk (1975).
N. N. Rogovtsov and A. M. Samson, “Definition of the source function within a plane-parallel scattering layer from the emerging radiation intensity,” Zh. Prikl. Spektrosk.,25, No. 3, 512–519 (1976).
N. N. Rogovtsov, “Recovery of the internal distribution of the radiation field from the characteristics at the boundary of the scattering medium,” Izv. Akad. Nauk SSSRS Fiz. Atmos. Okeana,16, No. 3, 244–253 (1980).
G. I. Marchuk, Calculation Methods for Nuclear Reactors [in Russian], Gosatomizdat, Moscow (1961), p. 29.
V. A. Ambartsumyan, “Diffuse reflection by a turbid medium,” Dokl. Akad. Nauk SSSR,30, No. 8, 257–261 (1943).
L. M. Romanova, “Invariance principles for a horizontally inhomogeneous turbid medium,” Izv. Akad. Nauk SSSR, Fiz. Atmos. Okeana,12, No. 8, 820–833 (1976).
O. V. Pikichyan, “The Green's function for a planar layer with incoherent scattering,” Astrofizika,14, No. 1, 169–190 (1978).
E. G. Yanovitskii, General Invariance Principle for Radiation Fields in Planar Inhomogeneous Atmospheres and Consequences, [in Russian], Preprint ITF-79-117P, Kiev (1979),
V. M. Kochetkov, “A fundamental solution to the nonstationary transport equation in three-dimensional geometry,” Prikl. Mat. Mekh.,32, No. 3, 393–400 (1968).
K. M. Case and P. Zweifel, Linear Transport Theory, Addison-Wesley, Reading, MA (1967).
V. V. Sobolev, “Some applications of the relationship between emissivity and absorptivity of a medium,” Astrofizika,9, No. 4, 515–524 (1973).
Additional information
Translated from Zhurnal Prikladnoi Spektroskopii, Vol. 34, No. 2, pp. 335–342, February 1981.
Rights and permissions
About this article
Cite this article
Rogovtsov, N.N. Partial invariant determination and the relation between the radiation fields within a scattering volume and at the boundaries. J Appl Spectrosc 34, 241–246 (1981). https://doi.org/10.1007/BF00635216
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00635216