Quarterly of Applied Mathematics Quarterly of Applied Mathematics
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An analysis of the paraxial wave equation

Author(s): Peter A. McCoy; Reza Malek-Madani
Journal: Quart. Appl. Math. 66 (2008), 69-80.
MSC (2000): Primary 35L05, 35Q60
Posted: December 18, 2007
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Abstract: Function theoretic methods are used to characterize solutions of the paraxial wave equation in an isotropic homogeneous medium in 3-space. A new class of function theoretic solutions whose singularities are manifested as sectionally analytic functions is constructed via integral transforms.


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Additional Information:

Peter A. McCoy
Affiliation: Department of Mathematics, U.S. Naval Academy, Annapolis, Maryland 21402-5002

Reza Malek-Madani
Affiliation: Department of Mathematics, U.S. Naval Academy, Annapolis, Maryland 21402-5002

PII: S0033-569X-07-01078-0
Received by editor(s): May 31, 2006
Posted: December 18, 2007
Copyright of article: Copyright 2007, Brown University


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