title: Zone plates with cells apodized by legendre profiles.
abstract: By apodizing the cells of a zone plate and changing the opening ratio, it is possible to shape the relative power spectrum of its foci. We describe a novel procedure that leads to an analytical formula for shaping the focus power spectrum by using apodizers expressible as the Legendre series; these act on cells of arbitrary opening ratio. Our general result is used to design zone plates that have missing foci and to discuss a synthesis procedure using apodizers with various opening ratios. Our applications can also be used for shaping the power spectrum of 1-D gratings.
authors.forename: J
authors.initials: J
authors.lastname: Ojeda-Castaneda
authors.forename: P
authors.initials: P
authors.lastname: Andres
authors.forename: M
authors.initials: M
authors.lastname: Martinez-Corral