Huygens Wave Equations in the Field of 2D-CWT
Analysis of PDEs
2015-03-20 v1 Classical Analysis and ODEs
Abstract
In this paper it is shown the performing of an optical transform to state the scalar diffraction in the formulation of the wavelet transform and the 'wave equations'. From there, a bridge is build between equations of spherical waves presented in 1678 by Huygens and the continuous wavelet transform. For such a purpose, wavelets are introduced that meet the principles of waves and the properties of wavelets. The following equations are applied in solution to show a correspondence between the Huygens-Fresnel diffraction and the wavelet transform.
Keywords
Cite
@article{arxiv.1503.05820,
title = {Huygens Wave Equations in the Field of 2D-CWT},
author = {V. V. Vermehren and H. M. de Oliveira},
journal= {arXiv preprint arXiv:1503.05820},
year = {2015}
}
Comments
5 pages, 3 figures