book chapter · 2025
Diffraction
Jenny Magnes, Juan M Merlo-Ramírez
Cited by 0Abstract and details only
Abstract
This chapter introduces the theoretical framework required to describe the diffraction of waves. We begin by presenting the Huygens–Fresnel principle, which interprets every point on a wavefront as a secondary source of spherical wavelets. Building on the general wave equation developed previously, we derive mathematical models for diffraction using the scalar formulation. Next, we develop analytical approaches such as Kirchhoff’s integral and the Fresnel–Kirchhoff diffraction formula and applied to canonical problems, including circular apertures and wires. We conclude by discussing near-field (Fresnel) and far-field (Fraunhofer) regimes, as well as the Fourier transform perspective that underpins modern diffraction analysis that is the core of this book.
Cite this paper
Magnes, J., & Merlo-Ramírez, J. M. (2025). Diffraction. https://doi.org/10.1088/978-0-7503-4836-2ch3
Magnes, Jenny, and Juan M Merlo-Ramírez. “Diffraction.” 2025, pp. 3–1, https://doi.org/10.1088/978-0-7503-4836-2ch3.
Magnes, Jenny, and Juan M Merlo-Ramírez. 2025. “Diffraction.” https://doi.org/10.1088/978-0-7503-4836-2ch3.
Magnes, J. and Merlo-Ramírez, J.M. (2025) ‘Diffraction’. Available at: https://doi.org/10.1088/978-0-7503-4836-2ch3.
@incollection{magnes2025diffraction,
title = {{Diffraction}},
author = {Magnes, Jenny and Merlo-Ramírez, Juan M},
pages = {3--1},
year = {2025},
doi = {10.1088/978-0-7503-4836-2ch3}
}Made from the index record. Check names, capitalisation and page numbers against the paper. Need another style? AI for Research has over 10,000.