Abstract
The Cornu spiral is a graphical aid that has been used historically to evaluate Fresnel integrals. It is also the Argand-plane mapping of a monochromatic complex scalar plane wave diffracted by a hard edge. We have successfully reconstructed a Cornu spiral due to diffraction of hard x-rays from a piece of Kapton tape. Additionally, we have explored the generalisation of the Cornu spiral by observing the Argand-plane mapping of complex scalar electromagnetic fields diffracted by a cylinder and a sphere embedded within a cylinder.
| Original language | English |
|---|---|
| Pages (from-to) | 10620-10634 |
| Number of pages | 15 |
| Journal | Optics Express |
| Volume | 24 |
| Issue number | 10 |
| DOIs | |
| Publication status | Published - 16 May 2016 |
Cite this
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Generalised Cornu spirals : an experimental study using hard x-rays. / Werdiger, Freda; Kitchen, Marcus J.; Paganin, David M.
In: Optics Express, Vol. 24, No. 10, 16.05.2016, p. 10620-10634.Research output: Contribution to journal › Article › Research › peer-review
TY - JOUR
T1 - Generalised Cornu spirals
T2 - an experimental study using hard x-rays
AU - Werdiger, Freda
AU - Kitchen, Marcus J.
AU - Paganin, David M.
PY - 2016/5/16
Y1 - 2016/5/16
N2 - The Cornu spiral is a graphical aid that has been used historically to evaluate Fresnel integrals. It is also the Argand-plane mapping of a monochromatic complex scalar plane wave diffracted by a hard edge. We have successfully reconstructed a Cornu spiral due to diffraction of hard x-rays from a piece of Kapton tape. Additionally, we have explored the generalisation of the Cornu spiral by observing the Argand-plane mapping of complex scalar electromagnetic fields diffracted by a cylinder and a sphere embedded within a cylinder.
AB - The Cornu spiral is a graphical aid that has been used historically to evaluate Fresnel integrals. It is also the Argand-plane mapping of a monochromatic complex scalar plane wave diffracted by a hard edge. We have successfully reconstructed a Cornu spiral due to diffraction of hard x-rays from a piece of Kapton tape. Additionally, we have explored the generalisation of the Cornu spiral by observing the Argand-plane mapping of complex scalar electromagnetic fields diffracted by a cylinder and a sphere embedded within a cylinder.
UR - http://www.scopus.com/inward/record.url?scp=84971353900&partnerID=8YFLogxK
U2 - 10.1364/OE.24.010620
DO - 10.1364/OE.24.010620
M3 - Article
VL - 24
SP - 10620
EP - 10634
JO - Optics Express
JF - Optics Express
SN - 1094-4087
IS - 10
ER -