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  • Letter
  • Open Access

Optical dispersions through intracellular inhomogeneities

Masaki Watabe1,2,3,*, Yasuhiro Hirano4, Atsuko Iwane5, Osamu Matoba6, and Koichi Takahashi1,7

  • 1Laboratory for Biologically Inspired Computing, RIKEN Center for Biosystems Dynamics Research, Suita, Osaka 565-0874, Japan
  • 2Cell Modeling and Simulation Group, Exploratory Research Center on Life and Living Systems, Okazaki, Aichi 444-8787, Japan
  • 3Interdisciplinary Research Unit, National Institute of Basic Biology, Okazaki, Aichi 444-8585, Japan
  • 4Nuclear Dynamics Group, Graduate School of Frontier Biosciences Osaka University, Suita, Osaka 565-0871, Japan
  • 5Laboratory for Cell Field Structure, RIKEN Center for Biosystems Dynamics Research, Higashi-Hiroshima, Hiroshima 739-0046, Japan
  • 6The Graduate School of System Informatics, Kobe University, Kobe, Hyogo 657-8501, Japan
  • 7Institute for Advanced Bioscience, Keio University, Fujisawa, Kanagawa 252-8520, Japan

  • *Corresponding author: m-watabe@nibb.ac.jp
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Phys. Rev. Research 5, L022043 – Published 30 May, 2023

DOI: https://doi.org/10.1103/PhysRevResearch.5.L022043

Abstract

The transport of intensity equation (TIE) exhibits a noninterferometric correlation between the intensity and phase variations of intermediate fields (e.g., light and electrons) in biological imaging. Previous TIE formulations have generally assumed free-space propagation of monochromatic, coherent field functions crossing phase distributions along a longitudinal direction. In this study, we modify the TIE with fractal (or self-similar) organization models based on intracellular refractive index turbulence. We then implement TIE simulations over a broad range of fractal dimensions and wavelengths. Simulation results show how the intensity propagation through the spatial fluctuation of intracellular refractive index interconnects fractal dimensionality with intensity dispersion (or transmissivity) within the picometer to micrometer wavelength range. Additionally, we provide a spatial autocorrelation of phase derivatives, which allows for the direct measurement and reconstruction of intracellular fractal profiles from optical and electron microscopy imaging.

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Outline

Information

Phys. Rev. Research 5, L022043– Published 30 May, 2023
  • Received 13 July 2022
  • Revised 19 July 2022
  • Accepted 31 March 2023
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