Virtual dielectric waveguide mode description of a high-gain free-electron laser I: Theory

Details Virtual dielectric waveguide mode description of a high-gain free-electron laser I: Theory Virtual dielectric waveguide mode description of a high-gain free-electron laser I: Theory

2008-01-30

arxiv.org/abs/0801.4748v3

Physics

Optics

14 pages

Scientific paper

10.1103/PhysRevA.77.063830

A set of mode-coupled excitation equations for the slowly-growing amplitudes of dielectric waveguide eigenmodes is derived as a description of the electromagnetic signal field of a high-gain free-electron laser, or FEL, including the effects of longitudinal space-charge. This approach of describing the field basis set has notable advantages for FEL analysis in providing an efficient characterization of eigenmodes, and in allowing a clear connection to free-space propagation of the input (seeding) and output radiation. The formulation describes the entire evolution of the radiation wave through the linear gain regime, prior to the onset of saturation, with arbitrary initial conditions. By virtue of the flexibility in the expansion basis, this technique can be used to find the direct coupling and amplification of a particular mode. A simple transformation converts the derived coupled differential excitation equations into a set of coupled algebraic equations and yields a matrix determinant equation for the FEL eigenmodes. A quadratic index medium is used as a model dielectric waveguide to obtain an expression for the predicted spot size of the dominant system eigenmode, in the approximation that it is a single gaussian mode.

Affiliated with

Also associated with

No associations

Rating

Virtual dielectric waveguide mode description of a high-gain free-electron laser I: Theory does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Virtual dielectric waveguide mode description of a high-gain free-electron laser I: Theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Virtual dielectric waveguide mode description of a high-gain free-electron laser I: Theory will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-122404