TRANSFORMATION OPTICS METHODOLOGY REVIEW AND ITS APPLICATION TO ANTENNA LENS DESIGNS

Open Access
- Author:
- Lu, Bingqian
- Area of Honors:
- Interdisciplinary in Electrical Engineering and Mathematics
- Degree:
- Bachelor of Science
- Document Type:
- Thesis
- Thesis Supervisors:
- John Douglas Mitchell, Thesis Honors Advisor
Douglas Henry Werner, Thesis Supervisor
Anna L Mazzucato, Thesis Supervisor
Dr. Diane Marie Henderson, Thesis Honors Advisor
John Douglas Mitchell, Thesis Honors Advisor - Keywords:
- Transformation Optics
Antenna Lens
Cloak - Abstract:
- Transformation Optics (TO) is a mathematical method that is used to renormalize the space that enables arbitrary control over light propagation by relying on the coordinate invariant property of Maxwell’s equations. In other words, when applying coordinate transformations, Maxwell’s equations change in a way that they preserve the physics. This technique enables unprecedented device design flexibility. First, different methodologies of TO will be analyzed and discussed in terms of their advantages and disadvantages for electromagnetic applications. Second, an effective approach is proposed to design antenna lenses for controlling the far-field patterns, which only uses a single electromagnetic source or antenna feed located both outside and embedded inside the lens. By employing a complex coordinate transformation, a spatial distribution of gain and/or loss can be introduced into the lens. Consequently, the lens offers an extra degree of freedom that allows for controlling not only the phase distribution of the electromagnetic field inside the lens but also the amplitude distribution. The complex coordinate transformation is then applied to a linear coordinate transformation enabled lens to achieve simpler material parameters and demonstrate the versatility of the proposed design approach. Several full-wave simulated lens examples and corresponding linear antenna array calculations are presented, demonstrating the capability of complex coordinate transformations for far-field pattern manipulation and near-field amplitude tapering across the lens aperture.