Uniformly 3-D-Printed Low-Cost Hedgehog Spherical Lens Antenna
Bibliographic record
Abstract
This paper presents a design strategy for a low-profile, low-cost, uniformly 3D-printed dielectric spherical lens antenna, tailored for high-gain communication applications. The proposed approach employs a cost-effective and modified fabrication process inspired by the Hedgehog form to simplify the traditional gradient-index (GRIN) permittivity distribution. This simplification is achieved through a spherical array of tapered dielectric rods with constant relative permittivity exposed to air, utilizing the concept of effective permittivity equivalence over conventional GRIN techniques. The incorporation of traveling-wave dielectric conical rods facilitates broadband operation by accommodating a wide range of phase velocities and enabling gradual impedance transitions, making the lens intrinsically wideband; in practice, the overall system bandwidth is limited by the impedance bandwidth of the feeding antenna. When integrated with an X-band horn antenna, full-wave electromagnetic simulations show a peak realized gain of 21.7 dB at 10 GHz, representing a 9.1 dB improvement over the horn alone, together with a 3-dB gain bandwidth of 40%. To compensate for phase variations in the GRIN distribution, the spherical lens employs a slightly asymmetric Hedgehog configuration with deliberately overlapped unit cells, which improves field concentration and primary radiation, yielding an aperture efficiency of 60%. A prototype was fabricated, and its performance was validated in a real-world lab setting through S-parameter analysis, closely matching simulation results and confirming the design’s high effectiveness and efficiency.
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How this classification was reachedexpand
Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.001 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from itClassification
machine, unvalidatedMachine predicted; a candidate call from one teacher head, not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".