Submillimeter-wave cornea phantom sensing over an extended depth of field with an axicon-generated Bessel beam

• Published in: arXiv.org
• Main Authors: Baggio, Mariangela, Tamminen, Aleksi, Lamberg, Joel, Grigorev, Roman, Samu-Ville Pälli, Ala-Laurinaho, Juha, Nefedova, Irina, Jean-Louis Bourges, Deng, Sophie X, Brown, Elliott R, Wallace, Vincent P, Taylor, Zachary D
• Format: Paper Journal Article
• Language: English
• Published: Ithaca Cornell University Library, arXiv.org 26.02.2023
• Subjects: Backscattering; Beams (radiation); Cornea; Depth of field; Fused quartz; Gelatin; Lenses; Mathematical analysis; Moisture content; Parameter estimation; Permittivity; Physics - Medical Physics; Physics - Optics; Radius of curvature; Sidelobes; Submillimeter waves; Thickness
• ISSN: 2331-8422
• DOI: 10.48550/arxiv.2206.12697

The feasibility of a 220 - 330 GHz zero order axicon generated Bessel beam for corneal water content was explored. Simulation and experimental data from the 25-degree cone angle hyperbolic-axicon lens illuminating metallic spherical targets demonstrate a monotonically decreasing, band integrated, backscatter intensity for increasing radius of curvature from 7 - 11 mm, when lens reflector and optical axis are aligned. Further, for radii >= 9.5 mm, maximum signal was obtained with a 1 mm transverse displacement between lens and reflector optical axes arising from spatial correlation between main lobe and out of phase side lobes. Thickness and permittivity parameter estimation experiments were performed on an 8 mm radius of curvature, 1 mm thick fused quartz dome over a 10 mm axial span. Extracted thickness and permittivity varied by less than ~ 25 \(\mu\)m and 0.2 respectively after correction for superluminal velocity. Estimated water permittivity and thickness of water backed gelatin phantoms showed significantly more variation due to a time varying radius of curvature.