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Bow-shaped caustics from conical prisms: a 13th-century account of rainbow formation from Robert Grosseteste’s De iride

Abstract:
The rainbow has been the subject of discussion across a variety of historical periods and cultures, and numerous optical explanations have been suggested. Here, we further explore the scientific treatise De iride [On the Rainbow] written by Robert Grosseteste in the 13th century. Attempting to account for the shape of the rainbow, Grosseteste bases his explanation on the optical properties of transparent cones, which he claims can give rise to arc-shaped projections through refraction. By stating that atmospheric phenomena are reducible to the geometric optics of a conical prism, the De iride lays out a coherent and testable hypothesis. Through both physical experiment and physics-based simulation, we present a novel characterization of cone–light interactions, demonstrating that transparent cones do indeed give rise to bow-shaped caustics—a nonintuitive phenomenon that suggests Grosseteste’s theory of the rainbow is likely to have been grounded in observation.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1364/AO.56.00G197

Authors

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Institution:
University of Oxford
Oxford college:
Pembroke College
Role:
Author
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Institution:
University of Oxford
Division:
MSD
Department:
Experimental Psychology
Role:
Author
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Institution:
University of Oxford
Division:
MPLS
Department:
Engineering Science
Role:
Author


Publisher:
Optical Society of America
Journal:
Applied Optics More from this journal
Volume:
56
Issue:
19
Pages:
G197-G204
Publication date:
2017-06-30
Acceptance date:
2017-04-12
DOI:
EISSN:
2155-3165
ISSN:
1559-128X


Pubs id:
pubs:689753
UUID:
uuid:0d45941b-684c-4b17-94e0-68c3477e8b0d
Local pid:
pubs:689753
Source identifiers:
689753
Deposit date:
2017-04-18
ARK identifier:

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