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Focused Fields of given Power with Maximum Electric Field Components

2008/12/18 by H. P. Urbach S. F. Pereira, Pereira, H. P. Urbach S. F.
Engineering · Materials Science · Physics and Astronomy · #FOS: Physical sciences #Near-Field Optical Microscopy #Optical Coatings and Gratings #Optics (physics.optics) #Orbital Angular Momentum in Optics #physics.optics

paper · pdf · doi:10.48550/arxiv.0812.3506

openalex publication_date 2008/12/18 · arxiv created 2008/12/26 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Closed formulas are derived for the field in the focal region of a diffraction limited lens, such that the electric field component in a given direction at the focal point is larger than that of all other focused fields with the same power in the entrance pupil of the lens. Furthermore, closed formulas are derived for the corresponding optimum field distribution in the lens pupil. Focused fields with maximum longitudinal or maximum transverse are considered in detail. The latter field is similar, but not identical, to the focused linearly polarized plane wave.

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