Title

On a Simple Derivation of the Fresnel Diffraction Formula and a Transfer Function Approach to Wave Propagation

Document Type

Article

Publication Date

6-1990

Publication Source

American Journal of Physics

Abstract

The Fresnel diffraction formula is straightforwardly obtained by solving a partial differential equation (PDE) for envelope propagation using Fourier transform techniques. The PDE, in turn, can be derived from the dispersion relation of a linear medium by employing a simple operator formalism. The transfer function and impulse response of propagation follows as a spin‐off and is used to solve illustrative problems. Huygens’ principle is visualized as a consequence of the convolution property of linear systems.

Inclusive pages

576-579

ISBN/ISSN

0002-9505

Comments

Permission documentation is on file.

Publisher

American Association of Physics Teachers

Volume

58

Issue

6

Peer Reviewed

yes