Reflectionless Boundary Propagation Formulas for Partial Wave Solutions to the Wave Equation

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dc.contributor.authorNavarro, Jaime
dc.contributor.authorWarchall, Henry A.
dc.date.accessioned2018-08-22T21:25:27Z
dc.date.available2018-08-22T21:25:27Z
dc.date.issued1995-06-15
dc.description.abstractWe consider solutions to the wave equation in 3+1 spacetime dimen- sions whose data is compactly supported at some initial time. For points outside a ball containing the initial support, we develop an outgoing wave condition, and associated one-way propagation formula, for the partial waves in the spherical-harmonic decomposition of the solution. The prop- agation formula expresses the l-th partial wave at time t and radius a in terms of order-l radial derivatives of the partial wave at time t − ∆t and radius a − ∆t. The boundary propagation formula can be applied to any differential equation that is well-approximated by the wave equation outside a fixed ball.
dc.description.departmentMathematics
dc.formatText
dc.format.extent14 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationNavarro, J. & Warchall, H. A. (1995). Reflectionless boundary propagation formulas for partial wave solutions to the wave equation. <i>Electronic Journal of Differential Equations, 1995</i>(17), pp. 1-14.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/7584
dc.language.isoen
dc.publisherSouthwest Texas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.holderThis work is licensed under a Creative Commons Attribution 4.0 International License.
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 1995, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectOne-sided wave propagation
dc.subjectWave equation
dc.subjectReflectionless boundary conditions
dc.subjectPartial waves
dc.subjectSpherical-harmonic decomposition
dc.subjectOpen-space boundary conditions
dc.titleReflectionless Boundary Propagation Formulas for Partial Wave Solutions to the Wave Equation
dc.typeArticle

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