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Accurate signal sampling and reconstruction are crucial in various signal-processing applications. A time-domain signal's spectrum can be revealed using its Fourier transform. When this signal is sampled at a specific frequency, it results in multiple scaled replicas of the original spectrum in the frequency domain. The spacing of these replicas is determined by the sampling frequency.
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Related Experiment Video

Updated: Feb 27, 2026

Measuring Spatially- and Directionally-varying Light Scattering from Biological Material
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Sub-Nyquist sampling boosts targeted light transport through opaque scattering media.

Yuecheng Shen1, Yan Liu1, Cheng Ma1

  • 1Optical Imaging Laboratory, Department of Biomedical Engineering, Washington University in St. Louis, One Brookings Drive, St. Louis, Missouri, USA, 63130.

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|July 4, 2017
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Summary

Researchers demonstrated focusing light through scattering media using under-sampled optical time-reversal. This novel approach achieves brighter foci and improves signal-to-noise ratio, advancing biophotonics applications.

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Area of Science:

  • Biophotonics
  • Wave Optics
  • Non-invasive Imaging

Background:

  • Optical time-reversal focuses light through scattering media like biological tissue.
  • Previous methods required extensive sampling of scattered light, adhering to the Nyquist criterion.

Purpose of the Study:

  • To investigate if light can be focused through scattering media using under-sampled optical time-reversal.
  • To explore the impact of sub-Nyquist sampling on focus intensity and signal quality.

Main Methods:

  • Theoretical modeling of light propagation through scattering media under sub-Nyquist sampling.
  • Experimental validation of under-sampled optical time-reversal for focusing light.
  • Comparison of focusing performance with well-sampled conditions.

Main Results:

  • Successful focusing of light through scattering media with under-sampled scattered fields.
  • Achieved foci one order of magnitude brighter than those from well-sampled methods.
  • Demonstrated improved signal-to-noise ratio and collection efficiency with sub-Nyquist sampling.

Conclusions:

  • Under-sampling in optical time-reversal is feasible and can enhance focusing performance.
  • This technique offers a significant advancement for deep-tissue optical imaging and therapies.
  • Sub-Nyquist sampling redefines the understanding and application of optical time-reversal.