The version submitted to the university repository with past updates.

Use a general form for the Green's tensor element expression in the main text and point out the special case of our BEM program in the footnote to make things clear.

Minor updates.

Added a few notes on reduced matrix elements and related definitions for clarification.

Minor changes requested from the school.

Resubmitted version with updated official graduation month and minor notes.

The version submitted to the University of New Mexico

349 pages with 7 main Chapters and 19 Appendices from A to S.
Comments and edits are welcome! Future updates will be tracked in the source repository.
Hopefully, you find this dissertation useful.

Bests,

Xiaodong Qi

The version submitted to committee

346 pages with Appendices from A to S. Defense has been scheduled on April 18th, 2018.

Pull Requests are welcome! All contributions will be acknowledged in the coming final release.

Thanks,

Xiaodong Qi