iii For my family, who offered me unconditional love and support throughout the course of my life. iv Acknowledgements Looking back at my years at Caltech, I have immensely enjoyed this most challenging and rewarding experience here. This institute offered me great freedom and a creative environ-ment to explore not only the outside world but also my own interests. I would like to extend my gratitude to all those who made my life at campus rewarding and enjoyable. Firstly, I would like to sincerely thank my advisor, Professor Kerry Vahala, for giving me a wonderful research opportunity and supporting me throughout my graduate studies at Caltech. In spite of his busy schedule, Kerry was always flexible for individual meetings and offering ins...