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A Small-Perturbation Automatic-Differentiation (SPAD) Method for Evaluating Uncertainty in Computational Electromagnetics
Gilbert, Michael Stephen

2012, Doctor of Philosophy, Ohio State University, Electrical and Computer Engineering.

In real-world problems, inputs to computational electromagnetics (CEM)
simulations are often not known with full certainty (or precision): it is not
possible to manufacture geometry exactly to the required specifications;
results of material measurement systems have errors and uncertainty; and the
frequency of operation and angles of observation will not be perfect in
measurement systems. In spite of this, virtually all CEM algorithms presume a
single deterministic solution (often from presumed mean values of the uncertain
input parameters). The goal of this work is to devise a general approach for
incorporating uncertainties directly into computational electromagnetics tools.


A new approach to solve these types of problems is proposed in this
dissertation. This method involves a Small-Perturbation (SP) expansion
augmented with an Automatic-Differentiation (AD) solver and is denoted as the
Small-Perturbation Automatic-Differentiation or SPAD method.

Fernando Teixeira (Advisor)
Robert Burkholder (Committee Member)
Joel Johnson (Committee Member)
Fangyang Zheng (Committee Member)
158 p.

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Gilbert, M. (2012). A Small-Perturbation Automatic-Differentiation (SPAD) Method for Evaluating Uncertainty in Computational Electromagnetics. (Electronic Thesis or Dissertation). Retrieved from https://etd.ohiolink.edu/

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Gilbert, Michael. "A Small-Perturbation Automatic-Differentiation (SPAD) Method for Evaluating Uncertainty in Computational Electromagnetics." Electronic Thesis or Dissertation. Ohio State University, 2012. OhioLINK Electronic Theses and Dissertations Center. 21 Sep 2017.

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Gilbert, Michael "A Small-Perturbation Automatic-Differentiation (SPAD) Method for Evaluating Uncertainty in Computational Electromagnetics." Electronic Thesis or Dissertation. Ohio State University, 2012. https://etd.ohiolink.edu/

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