Vector Addition Theorem and Its Diagonalization

Vector Addition Theorem and Its Diagonalization

Year:    2008

Communications in Computational Physics, Vol. 3 (2008), Iss. 2 : pp. 330–341

Abstract

The conventional vector addition theorem is written in a compact notation. Then a new and succinct derivation of the vector addition theorem is presented that is as close to the derivation of the scalar addition theorem. Newly derived expressions in this new derivation are used to diagonalize the vector addition theorem. The diagonal form of the vector addition theorem is important in the design of fast algorithms for computational wave physics such as computational electromagnetics and computational acoustics.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2008-CiCP-7856

Communications in Computational Physics, Vol. 3 (2008), Iss. 2 : pp. 330–341

Published online:    2008-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    12

Keywords: