High aperture efficiency 3D-printed radial GRIN lens

Paraskevopoulos, Anastasios; Gashi, Ilir; Albani, Matteo; Maci, S.

doi:10.23919/eucap53622.2022.9769646

Cited by 5 publications

(3 citation statements)

References 7 publications

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“…To illustrate a comparison between the proposed GO algorithm prediction and measurement results, we consider a final example involving the zero-focal GRIN lens presented in [15]. This lens, which was fabricated as described in [7], has a focus on the input surface, hence its name. The analytical expression for the radially varying refractive index profile has been obtained through the inverse truncated Abel transform and it is given by n(ρ) = n 0 /cosh( π 2d ρ), in which n 0 = cosh πa 2d ≃ 2 is the maximum refractive index value at the center (ρ = 0) , while d = 9cm and a = 7.5cm are the lens thickness and radius, respectively.…”

Section: Zero-focal Lensmentioning

confidence: 99%

“…These correspond to intermediate refractive index values between air (n = 1) and dielectric material PREPERM (n = 2.24). For a comprehensive understanding of the fabrication process, please refer to [7] for detailed information. Pictures of the lens prototype display both the rear view (Fig.…”

Section: Zero-focal Lensmentioning

confidence: 99%

“…III B), an unconventional application of a circular scanning GRIN lens antenna presented in [6] (Sec. III C), and the zero-focal lens described in [7] (Sec. III D), for which a comparison against measurements is available.…”

Section: Introductionmentioning

confidence: 99%

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GO Analysis of GRIN Lens Antennas by Combining in a Single ODE, Field and Wavefront-Curvature Transport to the Ray Tracing

Gashi,

Paraskevopoulos,

Maci

et al. 2024

IEEE Trans. Antennas Propagat.

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A novel very efficient algorithm based on the Geometrical Optics (GO) is presented for the analysis of graded index (GRIN) lens antennas, namely dielectric inhomogeneous lenses with a three-dimensional arbitrary varying refractive index. A family of curved ray-paths are traced starting from a set of points defined on the lens input interface, which is illuminated by a feed antenna, up to a corresponding set of points on the output interface; i.e., the lens radiating aperture. The ray-tracing is numerically performed in combination with the field transportation along the ray by exploiting an additional wavefront-curvature transport equation, thus providing a single independent vector Ordinary Differential Equation (ODE) for each ray. This scheme allows a complete parallelization of the algorithm by assigning any ray to a different thread. Crossing the lens input/output interfaces at the two end-points of the curved ray is accomplished by augmenting the refraction Snell's law and the Fresnel transmission coefficients with a novel compact closed form dyadic formula for the transmitted wavefront curvature. The ODE output provides the field aperture distribution on the output lens interface, permitting the far field calculation as a radiation integral. To this end, an ad-hoc quadrature rule is exploited, which requires an aperture sampling rate corresponding to the slowly varying part of the integrand, while the rapid phase variation is accounted for analytically; thus resulting in an extremely efficient and frequency independent scheme. The effectiveness and accuracy of the algorithm is shown by resorting to a couple of well-known analytical benchmarks and to two more general examples with real-life antennas: a Spaceborne Weather Radar lens antenna and a feed antenna with a zero-focal lens.

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Section: Zero-focal Lensmentioning

confidence: 99%

Section: Zero-focal Lensmentioning

confidence: 99%