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We formulate a four-dimensional (4-D, space-time dimension) image formation theory of all laser microscopy and optical coherence tomography (OCT) by using 4-D Fourier optics. We define a Fourier transform pair: a 4-D amplitude spread function in space-time domain and a 4-D aperture in spatiotemporal frequency domain. To calculate the 4-D aperture, we also define 4-D pupil functions that include the information on light source spectra in addition to NAs of excitation and detection systems in microscopy. The 4-D aperture is a new concept indicating the sensitivity to object frequencies that contribute to the image formation in microscopy including OCT.
Naoki Fukutake andYoshiaki Yasuno
"Four-dimensional image formation theory of all laser microscopy including optical coherence tomography", Proc. SPIE 11649, Three-Dimensional and Multidimensional Microscopy: Image Acquisition and Processing XXVIII, 116490D (5 March 2021); https://doi.org/10.1117/12.2575104
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Naoki Fukutake, Yoshiaki Yasuno, "Four-dimensional image formation theory of all laser microscopy including optical coherence tomography," Proc. SPIE 11649, Three-Dimensional and Multidimensional Microscopy: Image Acquisition and Processing XXVIII, 116490D (5 March 2021); https://doi.org/10.1117/12.2575104