Creation of a uniform circular illuminance distribution using faceted reflective NURBS surfaces

Persistent Link:
http://hdl.handle.net/10150/280165
Title:
Creation of a uniform circular illuminance distribution using faceted reflective NURBS surfaces
Author:
Davenport, Thomas Lewis
Issue Date:
2002
Publisher:
The University of Arizona.
Rights:
Copyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.
Abstract:
Non-Uniform-Rational-B-Spline (NURBS) surfaces were investigated as a tool for creating an incoherent uniform circular illuminance distribution on a target plane. Specifically, a superposition solution, employing faceted reflective surfaces was explored. The primary shape of the facets investigated was square, in spherical polar coordinates, mainly due to tiling concerns. An optimization procedure was the primary method for determining the NURBS variables for facet surfaces. For the case of a single square-facet that creates a uniform circular-illuminance distribution, a perfect solution using aim-ray defects proved difficult at best. However, the use of flux tubes in evaluating the illuminance yielded a highly uniform distribution with a very nearly circular shape. Superposition surface-point interpolation NURBS surfaces, constructed with this type of facet, were found to provide an excellent solution to the overall problem. Solutions of this type were shown to be more efficient than a standard algorithmic approach. NURBS surfaces provided excellent boundary control, and while often non-critical in single-aperture systems, boundary control was found to be very important for faceted systems. The techniques developed for creating uniform illuminance distributions with shapes different from the facet aperture were also applied to other problems: such as a square-facet to arcuate-illuminance pattern, and a circular-facet to a square-illuminance pattern.
Type:
text; Dissertation-Reproduction (electronic)
Keywords:
Physics, Optics.
Degree Name:
Ph.D.
Degree Level:
doctoral
Degree Program:
Graduate College; Optical Sciences
Degree Grantor:
University of Arizona
Advisor:
Shack, Roland V.

Full metadata record

DC FieldValue Language
dc.language.isoen_USen_US
dc.titleCreation of a uniform circular illuminance distribution using faceted reflective NURBS surfacesen_US
dc.creatorDavenport, Thomas Lewisen_US
dc.contributor.authorDavenport, Thomas Lewisen_US
dc.date.issued2002en_US
dc.publisherThe University of Arizona.en_US
dc.rightsCopyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.en_US
dc.description.abstractNon-Uniform-Rational-B-Spline (NURBS) surfaces were investigated as a tool for creating an incoherent uniform circular illuminance distribution on a target plane. Specifically, a superposition solution, employing faceted reflective surfaces was explored. The primary shape of the facets investigated was square, in spherical polar coordinates, mainly due to tiling concerns. An optimization procedure was the primary method for determining the NURBS variables for facet surfaces. For the case of a single square-facet that creates a uniform circular-illuminance distribution, a perfect solution using aim-ray defects proved difficult at best. However, the use of flux tubes in evaluating the illuminance yielded a highly uniform distribution with a very nearly circular shape. Superposition surface-point interpolation NURBS surfaces, constructed with this type of facet, were found to provide an excellent solution to the overall problem. Solutions of this type were shown to be more efficient than a standard algorithmic approach. NURBS surfaces provided excellent boundary control, and while often non-critical in single-aperture systems, boundary control was found to be very important for faceted systems. The techniques developed for creating uniform illuminance distributions with shapes different from the facet aperture were also applied to other problems: such as a square-facet to arcuate-illuminance pattern, and a circular-facet to a square-illuminance pattern.en_US
dc.typetexten_US
dc.typeDissertation-Reproduction (electronic)en_US
dc.subjectPhysics, Optics.en_US
thesis.degree.namePh.D.en_US
thesis.degree.leveldoctoralen_US
thesis.degree.disciplineGraduate Collegeen_US
thesis.degree.disciplineOptical Sciencesen_US
thesis.degree.grantorUniversity of Arizonaen_US
dc.contributor.advisorShack, Roland V.en_US
dc.identifier.proquest3073211en_US
dc.identifier.bibrecord.b43427893en_US
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