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The slowly varying envelope approximation revisited Export

Optics Communications, Vol. 101, No. 3-4. (15 August 1993), pp. 185-187.

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approximation beam envelope overview propagation slow variation

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The limit of validity of the slowly varying envelope approximation (SVEA) is derived as a function of the “bulk” velocity v of the radiating system, which reads l p λ(1− v/c ), l p being the radiation pulse length. This condition reduces to the usual SVEA in the limit v/c 1, whereas it is sensibly relaxed in the relativistic limit. The relevance for the case of microwave free electron lasers is discussed.


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