2013Journal of the Optical Society of America ARequires access

Rayleigh–Sommerfeld diffraction formula in k space

Colin J. R. Sheppard, Jiao Lin, Shan Shan Kou

Open publisher page 18 citations

Abstract

An angular spectrum representation in three dimensions is used to develop three-dimensional Fourier forms of the first and second Rayleigh-Sommerfeld diffraction formulae and the Kirchhoff diffraction formula. For forward-propagating waves, these reduce to three-dimensional Fourier representations for diffraction in the forward half-space.

About this research paper

What this paper is about

An angular spectrum representation in three dimensions is used to develop three-dimensional Fourier forms of the first and second Rayleigh-Sommerfeld diffraction formulae and the Kirchhoff diffraction formula. For forward-propagating waves, these reduce to three-dimensional Fourier representations for diffraction in the forward half-space.

Why it matters

OpenAlex reports 18 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

An angular spectrum representation in three dimensions is used to develop three-dimensional Fourier forms of the first and second Rayleigh-Sommerfeld diffraction formulae and the Kirchhoff diffraction formula. For forward-propagating waves, these reduce to three-dimensional Fourier representations for diffraction in the forward half-space.

Key concepts: Diffraction, Rayleigh scattering, Optics, Space (punctuation), Physics, Mathematical analysis, Mathematics, Computer science

Related papers

Back to paper searchBrowse research topicsOriginal source
Rayleigh–Sommerfeld diffraction formula in k space — Research Paper | ScholarLens