A Hilbert-space formulation of and variational principle for spontaneous wiggler radiation

A. E. Charman; J. S. Wurtele

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A Hilbert-space formulation of and variational principle for spontaneous wiggler radiation

A. E. Charman·J. S. Wurtele

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Abstract

Within the framework of Hilbert space theory, we derive a maximum-power variational principle applicable to classical spontaneous radiation from prescribed harmonic current sources. Results are first derived in the paraxial limit, then appropriately generalized to non-paraxial situations. The techniques were developed within the context of undulator radiation from relativistic electron beams, but are more broadly applicable.

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A. E. Charman, J. S. Wurtele. 2005-01-06. A Hilbert-space formulation of and variational principle for spontaneous wiggler radiation. https://arxiv.org/abs/physics/0501018

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