Staff View
A field theoretic approach to roughness corrections of Casimir energies

Descriptive

TitleInfo
Title
A field theoretic approach to roughness corrections of Casimir energies
Name (type = personal)
NamePart (type = family)
Wu
NamePart (type = given)
Hua-Yao
DisplayForm
Hua-Yao Wu
Role
RoleTerm (authority = RULIB)
author
Name (type = personal)
NamePart (type = family)
Schaden
NamePart (type = given)
Martin
DisplayForm
Martin Schaden
Affiliation
Advisory Committee
Role
RoleTerm (authority = RULIB)
internal member
Name (type = personal)
NamePart (type = family)
Wu
NamePart (type = given)
Zhen
DisplayForm
Zhen Wu
Affiliation
Advisory Committee
Role
RoleTerm (authority = RULIB)
internal member
Name (type = personal)
NamePart (type = family)
Murnick
NamePart (type = given)
Daniel
DisplayForm
Daniel Murnick
Affiliation
Advisory Committee
Role
RoleTerm (authority = RULIB)
internal member
Name (type = personal)
NamePart (type = family)
Ahn
NamePart (type = given)
Keun H.
DisplayForm
Keun H. Ahn
Affiliation
Advisory Committee
Role
RoleTerm (authority = RULIB)
outside member
Name (type = personal)
NamePart (type = family)
Shneidman
NamePart (type = given)
Vitaly A.
DisplayForm
Vitaly A. Shneidman
Affiliation
Advisory Committee
Role
RoleTerm (authority = RULIB)
outside member
Name (type = corporate)
NamePart
Rutgers University
Role
RoleTerm (authority = RULIB)
degree grantor
Name (type = corporate)
NamePart
Graduate School - Newark
Role
RoleTerm (authority = RULIB)
school
TypeOfResource
Text
Genre (authority = marcgt)
theses
OriginInfo
DateCreated (qualifier = exact)
2014
DateOther (qualifier = exact); (type = degree)
2014-10
CopyrightDate (encoding = w3cdtf)
2014
Place
PlaceTerm (type = code)
xx
Language
LanguageTerm (authority = ISO639-2b); (type = code)
eng
Abstract (type = abstract)
A systematic field theoretic description of the surface roughness corrections to the Casimir effect is developed. I use the multiple-scattering formalism. The Casimir energy is expressed in terms of the free Green's function and single-body scattering matrix. Finite temperature corrections to the Casimir force are obtained by Matsubara's formalism. The leading thermal corrections at high and low temperatures are presented and discussed. A statistical description of surface roughness is given and I construct the generating functional for roughness correlations. The latter allows me to incorporate roughness in a Quantum Field Theoretic (QFT) framework. I first consider a massless scalar field in the presence of parallel plates where one of which has a rough surface. In this case, semi-transparent boundary conditions are imposed by delta-function potentials. In the strong coupling limit the delta-function potential imposes Dirichlet boundary conditions. The Feynman rules of this equivalent 2+1-dimensional model are derived and its counterterms constructed. The two-loop contribution to the free energy of this model gives the leading roughness correction to the Casimir energy. The resummation of high-momentum loops shows that roughness effectively leads to a change in the mean separation of the order sigma^2/l_c and reduces reflection. The scalar model subsequently is generalized to the electromagnetic case. I derive the dielectric roughness corrections to the electromagnetic Casimir energy in a perturbative framework of the effective low-energy field theory for dielectric materials of Schwinger. It describes the interaction of electromagnetic fields with materials whose plasma frequency sets the low-energy scale. I show that the perturbative expansion of the single-interface scattering matrix in the amplitude of the profile is sensitive to short-wavelength components of the roughness correlation function. Generalized counterterms are introduced to subtract and correct these unphysical high-momentum contributions to the loop expansion. To leading perturbative order, the counterterms reproduce the phenomenological plasmon model. The renormalized low-energy theory is insensitive to the high-momentum behavior of the roughness correlation function and remains finite in the uncorrelated limit. I compare these predictions with the unrenormalized model and with experiment.
Subject (authority = ETD-LCSH)
Topic
Casimir effect
Subject (authority = RUETD)
Topic
Physics, Applied
RelatedItem (type = host)
TitleInfo
Title
Rutgers University Electronic Theses and Dissertations
Identifier (type = RULIB)
ETD
Identifier
ETD_5877
PhysicalDescription
Form (authority = gmd)
electronic resource
InternetMediaType
application/pdf
InternetMediaType
text/xml
Extent
1 online resource (xxii, 133 p. : ill.)
Note (type = degree)
Ph.D.
Note (type = bibliography)
Includes bibliographical references
Note (type = vita)
Includes vita
Subject (authority = ETD-LCSH)
Topic
Electromagnetic waves
Note (type = statement of responsibility)
by Hua-Yao Wu
RelatedItem (type = host)
TitleInfo
Title
Graduate School - Newark Electronic Theses and Dissertations
Identifier (type = local)
rucore10002600001
Location
PhysicalLocation (authority = marcorg); (displayLabel = Rutgers, The State University of New Jersey)
NjNbRU
Identifier (type = doi)
doi:10.7282/T30Z74X5
Genre (authority = ExL-Esploro)
ETD doctoral
Back to the top

Rights

RightsDeclaration (ID = rulibRdec0006)
The author owns the copyright to this work.
RightsHolder (type = personal)
Name
FamilyName
Wu
GivenName
Hua-Yao
Role
Copyright Holder
RightsEvent
Type
Permission or license
DateTime (encoding = w3cdtf); (qualifier = exact); (point = start)
2014-09-23 00:01:15
AssociatedEntity
Name
Hua-Yao Wu
Role
Copyright holder
Affiliation
Rutgers University. Graduate School - Newark
AssociatedObject
Type
License
Name
Author Agreement License
Detail
I hereby grant to the Rutgers University Libraries and to my school the non-exclusive right to archive, reproduce and distribute my thesis or dissertation, in whole or in part, and/or my abstract, in whole or in part, in and from an electronic format, subject to the release date subsequently stipulated in this submittal form and approved by my school. I represent and stipulate that the thesis or dissertation and its abstract are my original work, that they do not infringe or violate any rights of others, and that I make these grants as the sole owner of the rights to my thesis or dissertation and its abstract. I represent that I have obtained written permissions, when necessary, from the owner(s) of each third party copyrighted matter to be included in my thesis or dissertation and will supply copies of such upon request by my school. I acknowledge that RU ETD and my school will not distribute my thesis or dissertation or its abstract if, in their reasonable judgment, they believe all such rights have not been secured. I acknowledge that I retain ownership rights to the copyright of my work. I also retain the right to use all or part of this thesis or dissertation in future works, such as articles or books.
Copyright
Status
Copyright protected
Availability
Status
Open
Reason
Permission or license
Back to the top

Technical

RULTechMD (ID = TECHNICAL1)
ContentModel
ETD
OperatingSystem (VERSION = 5.1)
windows xp
Back to the top
Version 8.3.13
Rutgers University Libraries - Copyright ©2021