Carrying out the requisite work and then writing this thesis was, undoubtably, the most arduous task I have undertaken. However, one of the joys of having completed the thesis is looking back at everyone who has helped me over the past three, seven, and twenty-five years.
I would like to begin by thanking my three supervisors: Professors Sasha Movchan, Ian Jones, and Natasha Movchan. It is an often used cliché, but in this case it is no overstatement to say that without the consistent guidance, tutelage, support, unparalleled knowledge, and encouragement of my three supervisors, this thesis would never have existed. In particular, I would like to thank Natasha who went above and beyond to read every line of the manuscript in meticulous detail. I must say a special thank you to Sasha and Ian who, during my third year as an undergraduate, whetted my appetite for research and gave me the opportunity to study mathematics further.
Thank you also to Will Daniels and Serco Assurance for piquing my interest in industrial mathematics and providing me with such an interesting project to study during my third year as an undergraduate.
I would also like to thank the co-authors of my papers: Dr Mike Nieves for his encouragement, support and guidance; Dr Michele Brun for his hard-work, willingness to help, and knowledge, but mostly for his sense of humour; and Professor Ross McPhedran for his unsurpassed experience and knowledge of Mathematical Physics.
I should also like to thank fellow graduate student Stewart Haslinger, and indeed all the graduate students at the Department of Mathematical Sciences, primarily for giving me someone to moan at when work wasn’t progressing according to plan.
To my family, particularly my parents and sister, thank you for your love, support, and unwavering belief in me. Without you, I would not be the person I am today.
Above all I would like to thank my wife Nicola for her love and constant support, for all the late nights and early mornings, and for keeping me sane over the past few months. Thank you for being my muse, editor, proofreader, and sounding board. But most of all, thank you for being my best friend. I owe you everything.
Finally, despite my love for mathematics, the work reported in this thesis would not have been possible without the financial support of an EPSRC studentship (EP/H018514/1), for which I am grateful.
Source: Colquitt, D J (2013) Mathematical modelling of the dyamic response of metamaterial structures, PhD, Liverpool University