Invariant imbedding and perturbation techniques applied to diffuse reflection from spherical shells

Richard Ernest Bellman, H. H. Natsuyama, Robert E. Kalaba

ResearchPublished 1965

Presentation of a method for integrating numerically the invariant imbedding relation for the diffuse reflection coefficient of a spherical shell. The reflection coefficient of a shell is related to that of a slab via a perturbation technique. The results of some test calculations are presented; they compare well with the results obtained earlier using a different method. The perturbation technique also proves useful for quite large values of the perturbation parameter. 15 pp. (See also RM-4617-NASA.)

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  • Copyright: RAND Corporation
  • Availability: Available
  • Year: 1965
  • Print Format: Paperback
  • Paperback Pages: 15
  • Paperback Price: $20.00
  • Document Number: RM-4730-NASA

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RAND Style Manual
Bellman, Richard Ernest, H. H. Natsuyama, and Robert E. Kalaba, Invariant imbedding and perturbation techniques applied to diffuse reflection from spherical shells, RAND Corporation, RM-4730-NASA, 1965. As of October 11, 2024: https://www.rand.org/pubs/research_memoranda/RM4730.html
Chicago Manual of Style
Bellman, Richard Ernest, H. H. Natsuyama, and Robert E. Kalaba, Invariant imbedding and perturbation techniques applied to diffuse reflection from spherical shells. Santa Monica, CA: RAND Corporation, 1965. https://www.rand.org/pubs/research_memoranda/RM4730.html. Also available in print form.
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