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

2005/01/06 by Andrew Charman, A. E. Charman, Charman, A. E. +2 · 1 citation
Engineering · Physics and Astronomy · #Gyrotron and Vacuum Electronics Research #Particle Accelerators and Free-Electron Lasers #Particle accelerators and beam dynamics #physics.class-ph #physics.optics

paper · pdf · doi:10.48550/arxiv.physics/0501018

arxiv created 2005/01/06 · arxiv updated 2009/12/01

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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