Design Formulas for Flat Gradient Index Lenses with Planar or Spherical Output Wavefront
Weiya Hu (Student TU Delft)
Caspar M. Martin (TU Delft - Tera-Hertz Sensing)
Daniele Cavallo (TU Delft - Tera-Hertz Sensing)
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Abstract
A semi-analytical method is presented for the design of gradient index (GRIN) flat lenses. Closed-form expressions are derived to define the refractive index distribution of the lens, for several cases: collimating lenses with on-axis feed, collimating lenses with off-axis feed, lenses converting spherical wavefronts with different wavenumbers, lenses changing the focal number of a quasi-optical system, and Fresnel zone lenses. The design equations are validated by ray-tracing simulations in inhomogeneous media, implemented by numerical solution of the Eikonal equation.