1985Proceedings of the IEEERequires access

A simple derivation of the Fresnel diffraction formula

Partha Pratim Banerjee

Open publisher page 30 citations

Abstract

In contrast with the conventional technique of deriving the Fresnel diffraction formula using Green's functions and the integral theorem of Helmholtz and Kirchhoff, we present a simple direct derivation of Fresnel diffraction by starting out from the scalar wave equation.

About this research paper

What this paper is about

In contrast with the conventional technique of deriving the Fresnel diffraction formula using Green's functions and the integral theorem of Helmholtz and Kirchhoff, we present a simple direct derivation of Fresnel diffraction by starting out from the scalar wave equation.

Why it matters

OpenAlex reports 30 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

In contrast with the conventional technique of deriving the Fresnel diffraction formula using Green's functions and the integral theorem of Helmholtz and Kirchhoff, we present a simple direct derivation of Fresnel diffraction by starting out from the scalar wave equation.

Key concepts: Fresnel diffraction, Fresnel integral, Fresnel number, Diffraction, Kirchhoff's diffraction formula, Scalar (mathematics), Helmholtz equation, Simple (philosophy)

Related papers

Back to paper searchBrowse research topicsOriginal source
A simple derivation of the Fresnel diffraction formula — Research Paper | ScholarLens