English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

The first part of the paper is devoted to diffraction phenomena that can beexpressed by fractional Fourier transforms whose orders are real numbers.According to a scalar theory, diffraction acts on the amplitude of the electricfield as well as on its spherical angular spectrum, and Wigner distributionscan be defined on a space-frequency phase space. The phase space is equippedwith an Euclidean structure, so that the effects of diffraction are rotationsof Wigner distributions associated with optical fields. Such a rotation isshown to split into two specific elliptical rotations. Wigner distributionsassociated with transverse modes of a resonator are invariant in theserotations, and a complete theory of stable optical resonators and Gaussianbeams is developed on the basis of this property, including waist existence andrelated formulae, and naturally introducing the Gouy phase.

Effect of Diffraction on Wigner Distributions of Optical Fields and how  to Use It in Optical Resonator Theory. I -- Stable Resonators and Gaussian  Beams