Title:
Error analysis of boundary conditions in the Wigner transport equation

dc.contributor.advisor Yoder, P. Douglas
dc.contributor.author Philip, Timothy
dc.contributor.committeeMember Naeemi, Azad J.
dc.contributor.committeeMember Klein, Benjamin D. B.
dc.contributor.department Electrical and Computer Engineering
dc.date.accessioned 2015-09-21T15:53:17Z
dc.date.available 2015-09-22T05:30:06Z
dc.date.created 2014-08
dc.date.issued 2014-07-02
dc.date.submitted August 2014
dc.date.updated 2015-09-21T15:53:17Z
dc.description.abstract This work presents a method to quantitatively calculate the error induced through application of approximate boundary conditions in quantum charge transport simulations based on the Wigner transport equation (WTE). Except for the special case of homogeneous material, there exists no methodology for the calculation of exact boundary conditions. Consequently, boundary conditions are customarily approximated by equilibrium or near-equilibrium distributions known to be correct in the classical limit. This practice can, however, exert deleterious impact on the accuracy of numerical calculations and can even lead to unphysical results. The Yoder group has recently developed a series expansion for exact boundary conditions which, when truncated, can be used to calculate boundary conditions of successively greater accuracy through consideration of successively higher order terms, the computational penalty for which is however not to be underestimated. This thesis focuses on the calculation and analysis of the second order term of the series expansion. A method is demonstrated to calculate the term for any general device structure in one spatial dimension. In addition, numerical analysis is undertaken to directly compare the first and second order terms. Finally a method to incorporate the first order term into simulation is formulated.
dc.description.degree M.S.
dc.embargo.terms 2015-08-01
dc.format.mimetype application/pdf
dc.identifier.uri http://hdl.handle.net/1853/54031
dc.language.iso en_US
dc.publisher Georgia Institute of Technology
dc.subject Wigner transport equation
dc.subject Boundary conditions
dc.subject Error analysis
dc.title Error analysis of boundary conditions in the Wigner transport equation
dc.type Text
dc.type.genre Thesis
dspace.entity.type Publication
local.contributor.advisor Yoder, P. Douglas
local.contributor.corporatename School of Electrical and Computer Engineering
local.contributor.corporatename College of Engineering
relation.isAdvisorOfPublication 7d6cdbe1-1dc7-439d-ab9c-3823d6c2f6f9
relation.isOrgUnitOfPublication 5b7adef2-447c-4270-b9fc-846bd76f80f2
relation.isOrgUnitOfPublication 7c022d60-21d5-497c-b552-95e489a06569
thesis.degree.level Masters
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