Persistent Link:
http://hdl.handle.net/10150/282727
Title:
Theory and fabrication of colloidal-crystal Bragg filters
Author:
Gohman, Paul Alton, 1954-
Issue Date:
1998
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:
A theory, based on material parameters, is developed for colloidal-crystal Bragg filters. The coupling constant, for coupled-wave equations, is derived to produce filter spectra. The spectra are modified by convolving with a Gaussian function to represent crystal defects. Scattering losses are calculated to attenuate the out-of-band transmission. The theory is tested by comparing theoretical spectra with experimental spectra from colloidal-crystal Bragg filters fabricated with polystyrene and poly(methyl methacrylate) colloid spheres. A novel cell, for containing the colloidal crystal, is presented in addition to crystal growing techniques. Coupled-wave theory spectra are compared with experimental filter spectra for filters with variable colloid sphere diameters, filter thicknesses, liquid refractive indices, and Bragg wavelengths. Spectral comparisons are based on the notch bandwidth, optical density, and out-of-band scattering losses. The bandwidths agree to within one nanometer provided the criteria for the Rayleigh-Gans scattering approximation are satisfied. The optical densities correlate with spectrophotometer-measured optical densities. And, scattering losses correspond to within 10 percent for all material parameters. Thus, the coupled-wave theory is consistent with the data and provides an excellent tool for evaluating colloidal-crystal Bragg filter performance.
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:
Jacobs, Stephen F.

Full metadata record

DC FieldValue Language
dc.language.isoen_USen_US
dc.titleTheory and fabrication of colloidal-crystal Bragg filtersen_US
dc.creatorGohman, Paul Alton, 1954-en_US
dc.contributor.authorGohman, Paul Alton, 1954-en_US
dc.date.issued1998en_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.abstractA theory, based on material parameters, is developed for colloidal-crystal Bragg filters. The coupling constant, for coupled-wave equations, is derived to produce filter spectra. The spectra are modified by convolving with a Gaussian function to represent crystal defects. Scattering losses are calculated to attenuate the out-of-band transmission. The theory is tested by comparing theoretical spectra with experimental spectra from colloidal-crystal Bragg filters fabricated with polystyrene and poly(methyl methacrylate) colloid spheres. A novel cell, for containing the colloidal crystal, is presented in addition to crystal growing techniques. Coupled-wave theory spectra are compared with experimental filter spectra for filters with variable colloid sphere diameters, filter thicknesses, liquid refractive indices, and Bragg wavelengths. Spectral comparisons are based on the notch bandwidth, optical density, and out-of-band scattering losses. The bandwidths agree to within one nanometer provided the criteria for the Rayleigh-Gans scattering approximation are satisfied. The optical densities correlate with spectrophotometer-measured optical densities. And, scattering losses correspond to within 10 percent for all material parameters. Thus, the coupled-wave theory is consistent with the data and provides an excellent tool for evaluating colloidal-crystal Bragg filter performance.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.advisorJacobs, Stephen F.en_US
dc.identifier.proquest9901708en_US
dc.identifier.bibrecord.b38830395en_US
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