Abstract
Simple approximations to conventional transverse wiggler spectra integrated over finite apertures in the wiggle plane are derived. Account is taken of the departure of the wiggler's on-axis field profile from an idealized sinusoidal shape. By introducing a generalization of the conventional K parameter, it is shown that the approximations can be formulated from a Fourier decomposition of the wiggler's dominant field profile in the direction of particle motion without explicit reference to the particle beam trajectory. Use of the generalized K parameter for estimating the first harmonic output energies of undulators and the critical energies of wigglers is examined.
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