Design Formulas for Flat Gradient Index Lenses with Planar or Spherical Output Wavefront

Weiya  Hu; Caspar M. Coco Martin; Daniele  Cavallo

doi:10.1109/TAP.2024.3363433

Design Formulas for Flat Gradient Index Lenses with Planar or Spherical Output Wavefront

Weiya Hu, Caspar M. Coco Martin, Daniele Cavallo^*

^*Corresponding author for this work

Tera-Hertz Sensing

Research output: Contribution to journal › Article › Scientific › peer-review

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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.

Original language	English
Pages (from-to)	2555-2563
Number of pages	9
Journal	IEEE Transactions on Antennas and Propagation
Volume	72
Issue number	3
DOIs	https://doi.org/10.1109/TAP.2024.3363433
Publication status	Published - 2024

Bibliographical note

Green Open Access added to TU Delft Institutional Repository 'You share, we take care!' - Taverne project https://www.openaccess.nl/en/you-share-we-take-care
Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.

Keywords

geometrical optics
gradient indexes lenses
lens antennas
optical design
ray tracing

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Design_Formulas_for_Flat_Gradient_Index_Lenses_With_Planar_or_Spherical_Output_WavefrontFinal published version, 2.46 MB

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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.",

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Design Formulas for Flat Gradient Index Lenses with Planar or Spherical Output Wavefront

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