Applied Physics B

, Volume 26, Issue 4, pp 247–249 | Cite as

An invariant imbedding formulation of coupled-wave theory

  • K. C. Johnson
Contributed Papers


An alternative formulation of coupled-wave theory adapted to numerical analyses is developed, using the method of invariant imbedding. Solutions of the coupled-wave equations are represented in terms of a reflectance matrix ϱ and a transmission matrix τ (rather than the transition matrix Φ of the more classical approach).


41.10.Hv 42.20 02.70 


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    K.C. Johnson: Appl. Phys.24, 249–260 (1981)Google Scholar
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    K.C. Johnson: Appl. Phys.25, 169–178 (1981)Google Scholar
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    M.R. Scott:Invariant Imbedding and its Application to Ordinary Differential Equations (Addison-Wesley, Reading, MA 1973)Google Scholar
  4. 4.
    R. Bellman, G. Wing:An Introduction to Invariant Imbedding (John Wiley and Sons, New York 1975)Google Scholar
  5. 5.
    D.L. Jaggard, A.R. Mickelson: Appl. Phys.19, 405–412 (1979)Google Scholar

Copyright information

© Springer-Verlag 1981

Authors and Affiliations

  • K. C. Johnson
    • 1
  1. 1.El CerritoUSA

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