Optica Open
Browse
arXiv.svg (5.58 kB)

Double-Conjugation Law in Geometrical Coherent Imaging. Application to Gaussian Beams

Download (5.58 kB)
preprint
posted on 2023-01-10, 03:26 authored by Pierre Pellat-Finet
A centred system forms the coherent image of the optical field on a spherical cap, taken as an object, on another spherical cap, whose vertex and curvature center are the respective paraxial images of the vertex and center of the object cap. That ``double-conjugation'' law, usually obtained in the framework of a scalar theory of diffraction, is deduced from concepts of geometrical optics. A magnification law between radii of conjugate spherical-caps extends the notion of longitudinal magnification to finite distances, and generalizes the longitudinal Lagrange-Helmholtz formula. Applying the double-conjugation law to imaging Gaussian beams shows that those beams perfectly obey geometrical optics laws.

History

Disclaimer

This arXiv metadata record was not reviewed or approved by, nor does it necessarily express or reflect the policies or opinions of, arXiv.

Usage metrics

    Categories

    Licence

    Exports

    RefWorks
    BibTeX
    Ref. manager
    Endnote
    DataCite
    NLM
    DC