A STUDY ON MICROWAVE INSTABILITY INDUCED RADIATION.
It has been shown in the context of a solvable model that the microwave instability can be described in terms of ''coherent states'' [1]. Building on this model, we first show that the simplicity of the model arises from the fact that the key integral-differential equation can be reduced to the Karhunen-Loeve equation of the theory of stochastic processes. We present results on the correlation functions of the electric field. In particular, for the second order correlation function, we show that a relation akin to the Hanbury Brown-Twiss correlation holds for the coherent states of the microwave-instability induced radiation. We define an entropy-like quantity and we introduce a Wigner distribution function representation.
- Research Organization:
- BROOKHAVEN NATIONAL LABORATORY (US)
- Sponsoring Organization:
- USDOE Office of Energy Research (ER) (US)
- DOE Contract Number:
- AC02-98CH10886
- OSTI ID:
- 15016693
- Report Number(s):
- BNL-67656; R&D Project: LS1; KC0204011; TRN: US0502823
- Resource Relation:
- Conference: 1999 PARTICLE ACCELERATOR CONFERENCE, NEW YORK, NY (US), 03/29/1999--04/02/1999; Other Information: PBD: 29 Mar 1999
- Country of Publication:
- United States
- Language:
- English
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