6533b856fe1ef96bd12b28d7

RESEARCH PRODUCT

Focal-shift formula in apodized nontelecentric focusing systems

María Teresa Caballero CaballeroPedro AndrésL. Muñoz-escriváManuel Martínez-corral

subject

PhysicsGeometrical opticsbusiness.industryParaxial approximationAstrophysics::Instrumentation and Methods for AstrophysicsFilter (signal processing)Atomic and Molecular Physics and OpticsOpticsApodizationPosition (vector)Systems designFresnel numberbusinessFresnel diffraction

description

A single analytical formulation for evaluating the focal shift in any apodized nontelecentric focusing setup is reported. The formulation is also useful in the case of imaged paraxial beams. We show explicitly that the magnitude of the focal shift is determined by only one parameter that depends on the effective width of the pupil filter and its axial position. To illustrate our approach we examine different focusing setups.

https://doi.org/10.1364/ol.26.001501