**Dynamic Speckle Interferometry of Thin Biological Objects: Theory, Experiments, and Practical Perspectives** Provisional chapter Dynamic Speckle Interferometry of Thin Biological

Objects: Theory, Experiments, and Practical Perspectives

Alexander P. Vladimirov and Alexey A. Bakharev

Additional information is available at the end of the chapter Alexey A. Bakharev

http://dx.doi.org/10.5772/66712 Additional information is available at the end of the chapter

Alexander P. Vladimirov and

### Abstract

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Relation between the phase dynamics of the waves sounding thin biological object and the dynamics of the speckles in the object image plane was theoretically detected using a model dealing with interference of multiple waves with random phases. Formulas determining the dependence of time-average intensity ~I and temporal autocorrelation function η ¼ ηðtÞ of this intensity at a point of the image plane with mean value 〈x〉, mean square deviation σu, and correlation time τ<sup>0</sup> of the difference between the optical paths Δu of the wave pairs in the neighborhood of a conjugate point of the object plane were obtained. A relation between a normalized temporal spectral function of stationary process ΔuðtÞ and a temporal spectral radiation intensity fluctuation function was substantiated. An optical device relevant to the model used in the theory was developed. Good quantitative coincidence between the theory and the experiment was shown by means of dosed random variation of path difference Δu. The calibration procedure for the device determining σ<sup>u</sup> was developed; errors and the sensitivity limit of the technique were assessed. Application of value σ<sup>u</sup> as a cell activity parameter on biological objects, namely, a monolayer of live cells on a transparent substrate in a thin cuvette with the nutrient solution was substantiated. It was demonstrated that the technique allows determination of herpes virus in the cells as early as 10 min from the experiment start. A necessity to continue upgrading of the technique was pointed out as well as its prospects for studying the cell reaction to toxic substances, bacteria, and viruses considered.

Keywords: interference, speckle, speckle dynamics, phase object, live cells, cell activity, viruses

© 2017 The Author(s). Licensee InTech. This chapter is distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/3.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

© The Author(s). Licensee InTech. This chapter is distributed under the terms of the Creative Commons

Attribution License (http://creativecommons.org/licenses/by/3.0), which permits unrestricted use, distribution, and eproduction in any medium, provided the original work is properly cited.
