Zone plates with cells apodized by Legendre profiles

6533b832fe1ef96bd129ad0f

RESEARCH PRODUCT

Zone plates with cells apodized by Legendre profiles

Manuel Martínez-corral Pedro Andrés Jorge Ojeda-castaneda

subject

Physics Diffraction Focus (geometry)business.industry Materials Science (miscellaneous)Spectral density Zone plate Industrial and Manufacturing Engineering law.invention symbols.namesake Optics Fourier transform Apodization law symbols Transmittance Business and International Management business Legendre polynomials

description

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.

year	journal	country	edition	language
1990-03-20	Applied Optics

https://doi.org/10.1364/ao.29.001299

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