Four-dimensional image formation theory of optical coherence tomography

Fuente: arXiv
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Main Authors: Fukutake, Naoki, Makita, Shuichi, Yasuno, Yoshiaki
Format: Preprint
Published: 2025
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author Fukutake, Naoki
Makita, Shuichi
Yasuno, Yoshiaki
author_facet Fukutake, Naoki
Makita, Shuichi
Yasuno, Yoshiaki
contents We construct an accurate imaging theory for optical coherence tomography/microscopy (OCT/OCM) without approximations to calculate precise optical resolution and imaging characteristics. Our theory represents a broadband light source using a four-dimensional (4D) pupil function with a dimension for light frequency (reciprocal of wavelength) as the fourth axis in 4D frequency space. Consequently, 4D space-time representation is required in real space, connected to the 4D frequency space by a 4D Fourier transform. Our theory provides insight into a peculiar image formation in OCT/OCM, particularly when an apparatus has a high numerical aperture (NA) optical system to handle aberrations and dispersions simultaneously.
format Preprint
id arxiv_https___arxiv_org_abs_2501_12262
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Four-dimensional image formation theory of optical coherence tomography
Fukutake, Naoki
Makita, Shuichi
Yasuno, Yoshiaki
Optics
We construct an accurate imaging theory for optical coherence tomography/microscopy (OCT/OCM) without approximations to calculate precise optical resolution and imaging characteristics. Our theory represents a broadband light source using a four-dimensional (4D) pupil function with a dimension for light frequency (reciprocal of wavelength) as the fourth axis in 4D frequency space. Consequently, 4D space-time representation is required in real space, connected to the 4D frequency space by a 4D Fourier transform. Our theory provides insight into a peculiar image formation in OCT/OCM, particularly when an apparatus has a high numerical aperture (NA) optical system to handle aberrations and dispersions simultaneously.
title Four-dimensional image formation theory of optical coherence tomography
topic Optics
url https://arxiv.org/abs/2501.12262