Abstract

Based on an ultrasound-modulated optical tomography experiment, a direct, quantitative recovery of Young’s modulus ($E$) is achieved from the modulation depth ($M$) in the intensity autocorrelation. The number of detector locations is limited to two in orthogonal directions, reducing the complexity of the data gathering step whilst ensuring against an impoverishment of the measurement, by employing ultrasound frequency as a parameter to vary during data collection. The $M$ and $E$ are related via two partial differential equations. The first one connects $M$ to the amplitude of vibration of the scattering centers in the focal volume and the other, this amplitude to $E$. A (composite) sensitivity matrix is arrived at mapping the variation of $M$ with that of $E$ and used in a (barely regularized) Gauss–Newton algorithm to iteratively recover $E$. The reconstruction results showing the variation of $E$ are presented.

© 2015 Optical Society of America

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