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Here, Ͷc is the cutoff frequency of the TE1q mode under consideration. Taking the solution to Eq. (41) corresponding to forward propagation, and using the relation E ϭ Ϫٌ␾ Ϫ ѨtA, yields the Fourier transform of the electric field excited by the beam in the FEL interaction region ˜ (ω, z) = E 1q " √ 2qβw g ω exp − π 3/2 0 a2 1q ω z 2β c 2 phase information (coherence and chirp) is described by the argument of the complex exponential. Therefore, the analysis of the dispersion characteristics of an electrodynamical system, using the Fourier-eigenmode expansion method described here, yields a number of important results pertaining to the spatial and temporal coherence of the radiation interacting with the system.

This formalism is presented in detail in a monograph (5) by Leonard Mendel and Emil Wolf and will be summarized here. Finally, other topics in quantum optics and laser-plasma interaction physics, related to the general concept of coherence, are briefly discussed, including nonlinear processes, phase conjugation, squeezed states, four-wave mixing, and decoherence. COHERENCE IN FREE-ELECTRON DEVICES Dispersion The aforementioned relation between the frequency and wavenumber is called the dispersion equation and contains important information about the propagation of waves in a particular medium.

219: 120–136, September 1968. K. A. Truesdell and S. E. Lamberson, Phillips Laboratory COIL Technology Overview, in SPIE Proc. 9th Int. Symp. Gas Flow Chem. Lasers, 1810: 1992, pp. 476–492. GLEN P. PERRAM Air Force Institute of Technology 1. J. C. Polanyi, Proposal for an infrared maser dependent on vibrational excitation, J. Chem. , 34: 347, 1961. 2. R. W. F. Gross and J. F. ), Handbook of Chemical Lasers. New York: Wiley, 1976. 3. J. B. Anderson, Adv. Chem. , 41: 229, 1980. 4. J. V. V. Kasper and G.

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