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A localized beam representation of high‐frequency wave fields using a Wilson basis
Author(s) -
Arnold J. M.
Publication year - 2002
Publication title -
radio science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.371
H-Index - 84
eISSN - 1944-799X
pISSN - 0048-6604
DOI - 10.1029/2001rs002574
Subject(s) - basis (linear algebra) , representation (politics) , parameterized complexity , beam (structure) , phase space , limit (mathematics) , space (punctuation) , spatial frequency , phase (matter) , mathematics , position (finance) , mathematical analysis , orthogonal basis , optics , physics , geometry , computer science , algorithm , quantum mechanics , finance , politics , political science , law , economics , operating system
A rigorous orthogonal basis is described for the representation of high‐frequency wave fields using beam superpositions parameterized by both spatial position and spatial direction of each beam. This representation has many desirable features not found in conventional phase‐space‐based expansions such as the discrete or continuous Gabor schemes. The representation is highly efficient in the geometrical optics limit, that is, when it is strongly localized in the phase‐space.