Unified k-space theory of optical coherence tomography

Abstract

We present a general theory of optical coherence tomography (OCT), which synthesizes the fundamental concepts and implementations of OCT under a common 3D k-space framework. At the heart of this analysis is the Fourier diffraction theorem, which relates the coherent interaction between a sample and plane wave to the Ewald sphere in the 3D k-space representation of the sample. While only the axial dimension of OCT is typically analyzed in k-space, we show that embracing a fully 3D k-space formalism allows explanation of nearly every fundamental physical phenomenon or property of OCT, including contrast mechanism, resolution, dispersion, aberration, limited depth of focus, and speckle. The theory also unifies diffraction tomography, confocal microscopy, point-scanning OCT, line-field OCT, full-field OCT, Bessel-beam OCT, transillumination OCT, interferometric synthetic aperture microscopy (ISAM), and optical coherence refraction tomography (OCRT), among others. Our unified theory not only enables clear understanding of existing techniques, but also suggests new research directions to continue advancing the field of OCT.

References in corpus (8)

• Wide-field, high-resolution Fourier ptychographic microscopy
• Multiple scattering of classical waves: from microscopy to mesoscopy and diffusion
• Probing 10 μK stability and residual drifts in the cross-polarized dual-mode stabilization of single-crystal ultrahigh-Q optical resonators
• High-resolution 3D refractive index microscopy of multiple-scattering samples from intensity images
• Diffraction tomography with a deep image prior
• A convergent Born series for solving the inhomogeneous Helmholtz equation in arbitrarily large media
• In vivo high resolution human retinal imaging with wavefront correctionless full-field OCT
• Spatially incoherent illumination interferometry: a PSF almost insensitive to aberrations

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• The 2D approximation quickly breaks down in reflection ptychography