Generalization of group velocity and group acceleration

Leon Cohen

doi:10.1117/12.477013

25 July 2002 Generalization of group velocity and group acceleration

Leon Cohen

Proceedings Volume 4726, Automatic Target Recognition XII; (2002) https://doi.org/10.1117/12.477013
Event: AeroSense 2002, 2002, Orlando, FL, United States

Abstract

Group velocity is typically defined as the derivative of the dispersion relation. However, we show that definition is not appropriate in general and is only applicable to wave equations with constant coefficients. We generalize the concept of group velocity and also show that in general one also has group acceleration. Explicit expressions are derived and examples are given.

Citation Download Citation

Leon Cohen "Generalization of group velocity and group acceleration", Proc. SPIE 4726, Automatic Target Recognition XII, (25 July 2002); https://doi.org/10.1117/12.477013

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