@inbook{7d66fe3f644b45e6a8f9f6aa47d6fd3c,
title = "The Hankel transform in n-dimensions and its applications in optical propagation and imaging",
abstract = "Researchers discuss the Hankel transform in n-dimensions and its applications in optical propagation and imaging. The researchers aim to extend the approach to the n-dimensional case by considering the nD hyperspherically symmetrical Fourier transform in nD space, which can be expressed as a Hankel transform. They derive various relationships for general n, and then give specific examples for 1, 2, 3, and 4 dimensions. Tables of Hankel transforms particularly relevant for imaging and wave propagation applications, which include many transforms not given in standard tables. The 2D case has many practical applications in optics, especially for cylindrical focusing, fringe analysis, planar wave guides, and plasmonics.",
keywords = "diffraction propagation, Fourier transform, fringe analysis, Green function, Hankel transform, planar, plasmonics, waveguides",
author = "Sheppard, \{Colin J.R.\} and Kou, \{Shan S.\} and Jiao Lin",
year = "2015",
doi = "10.1016/bs.aiep.2015.02.003",
language = "English",
isbn = "9780128022542",
series = "Advances in Imaging and Electron Physics",
publisher = "Academic Press",
pages = "135--184",
editor = "Hawkes, \{Peter W.\}",
booktitle = "Advances in Imaging and Electron Physics",
address = "United States of America",
edition = "1st",
}