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Technique to produce coherent x‐ray radiation via laser pumping of a relativistic ion beam
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5.Were one to operate in the fundamental Gaussian mode of an optimized confocal resonator, the condition on the total power flux P can be written as and may be enhanced over the drive power by a factor involving the Q of the resonator.
6.One could also proceed by an alternate treatment involving an inhomogeneous wave equation where the source term involves the polarization vector,3 the latter being governed by Eq. (5). Such an approach involving the amplitude of the E field would yield the full dispersive behavior of the process, i.e., the phase velocity shift as well as the gain. The approach given here was chosen for simplicity.
7.Intrabeam collisional relaxation or ionization effects may also be important.
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