Transformation Optics Techniques For Designing Gradient Index Devices

Open Access
Morgan, Kenneth Lee
Graduate Program:
Electrical Engineering
Master of Science
Document Type:
Master Thesis
Date of Defense:
March 18, 2015
Committee Members:
  • Douglas Henry Werner, Thesis Advisor
  • graphene
  • transformation optics
  • anti-reflective coating
Transformation optics provides a powerful design tool aiding in the development of gradient index systems across a vast range of applications. Here, such techniques are applied towards two diverse objectives. In the first case, quasi-conformal transformation optics is used to design integrated photonic components and other gradient index devices on graphene. Such devices provide an alternative to conventional mediums, which are severely limited in system performance and design flexibility. The marriage of transformation optics design techniques with the emerging field of graphene offers the possibility for developing novel systems in the mid-infrared regime. It also has the potential for extending the functionality of existing systems in a compact geometry. In the second case, anti-reflective coating designs are developed for gradient index lens systems. Conventional design techniques are leveraged in conjunction with transformation optics to develop these coatings. First, narrowband solutions are presented; then the design techniques are extended to develop multi-layer broadband solutions. The result of this work demonstrates the great utility that transformation optics holds in the design of novel electromagnetic systems.