# Accession Number:

## ADA134458

# Title:

## The Evolution of Spontaneous and Coherent Radiation in the Free Electron Laser Oscillator.

# Descriptive Note:

## Interim rept.,

# Corporate Author:

## NAVAL RESEARCH LAB WASHINGTON DC

# Personal Author(s):

# Report Date:

## 1983-08-16

# Pagination or Media Count:

## 40.0

# Abstract:

An analysis of the free electron laser FEL oscillator start-up problem in the linear regime is presented. The model is spatially one dimensional, though many important three dimensional effects are included heuristically. The electron beam consists of pulses of arbitrary shape separated by approximately twice the radiation transit time. The small gainpass approximation is employed in deriving an energy rate equation, which described the evolution of the radiation pulses within the resonator. The wiggler field is assumed to occupy a portion of the finite Q resonator. In the energy rate equation, the spontaneous incoherent radiation term is represented by a source matrix, while the stimulated coherent radiation term is represented by a gain matrix. The effect of small variations in the mirror separation are investigated in the context of laser lethargy. Our analysis suggests possible methods which would substantially shorten the start-up times in FEL oscillators. Finally, our results are compared with the FEL oscillator experiments performed at Stanford University. author

# Descriptors:

# Subject Categories:

- Lasers and Masers
- Particle Accelerators