Theory and Simulation of Magnetohydrodynamic Dynamos and Faraday Rotation for Plasmas of General Composition

iii Acknowledgments I would like to express the deepest appreciation to my advisor Professor Eric Blackman. Without his guidance and persistent help this dissertation would not have been possible. Also I would like to thank the committee members, Professor John Tarduno, Chair John Thomas, Bill Forrest, and Dan Watson. Professor John Thomas and Adam Frank and my advisor have written so many recommendation letters for me. I wish to appreciate their efforts. I am grateful to David Munson and Rich Sarkis who are in charge of the computer system. Without the help of Dr. Brendan Mort and Rich, my work would not have been possible. Also, I am grateful to Barbara Warren, Janet Fogg, Ali DeLeon, Laura Blumkin, and all the staff in the department. Also I thank the University of Rochester, and the Laboratory for Laser Energetics, which provided financial support. Finally, I am extremely grateful to my parents Jungbae Park and Hyesoon Im, my sister, Minyoung Park, and my late grandfather, Manjae Im