Invariant imbedding and order-of-scattering theory in radiation field

DOI10.1016/0898-1221(94)90136-8zbMath0805.35136OpenAlexW1968345336MaRDI QIDQ1327200

V. Pereyra

Publication date: 15 June 1994

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(94)90136-8

zbMATH Keywords

nonlinear integro-differential equationsradiation dosimetryscattering and transmission functions

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Inverse problems for PDEs (35R30) Waves and radiation in optics and electromagnetic theory (78A40)

Related Items (2)

Invariant imbedding and Cauchy system of scattering function in searchlight problem in rugged terrain ⋮ Inverse problems in radiative transfer

Cites Work

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• On the matrix Riccati equation of transport processes
• Invariant imbedding and radiation dosimetry. VIII: Reflection function from a double layer - finite order functions
• Invariant imbedding and radiation dosimetry. IX: Inverse problem of determining a plane source in a finite isotropically scattering target slab
• Invariant imbedding and radiation dosimetry. X: Intensity of finite order scattered gamma radiation emergent from a target slab with internal sources
• Sobolev's \(\Phi\)-function of radiative transfer in planar and spherical scattering media
• Invariant imbedding and radiation dosimetry: Finite order scattering and transmission function
• Invariant imbedding and radiation dosimetry. IV: Finite order scattering of gamma radiation by a target slab
• Invariant imbedding and radiation dosimetry. V: Finite order intensity of radiation in a target slab
• Invariant imbedding and radiation dosimetry. VI: Absorbed dose of X and gamma rays in a target slab
• Invariant imbedding and radiation dosimetry. VII: Finite order scattering and transmission functions of the two radiation approximations in a target slab
• Invariant imbedding and radiation dosimetry. II: Integral recurrence relations for the finite order scattering and transmission functions
• Invariant imbedding and radiation dosimetry. III: Integral recurrence relations for finite order X and Y functions

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