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A linear state space model for photoacoustic imaging in an acoustic attenuating media

DOI:10.1088/1361-6420/aaea2c 期刊:Inverse Problems 出版年份:2019 更新时间:2025-09-23 15:22:29
摘要: In photoacoustic imaging, ultrasound waves generated by a temperature rise after illumination of light absorbing structures are measured on the sample surface. These measurements are then used to reconstruct the optical absorption. We develop a method for reconstructing the absorption inside the sample based on a discrete linear state space reformulation of a partial differential equation that describes the propagation of the ultrasound waves. Fundamental properties of the corresponding state space model such as stability, observability and controllability are also analyzed. By using Stokes’ equation, the frequency dependent attenuation of the ultrasound waves is incorporated into our model, therefore the proposed method is of general nature. This approach allows for inhomogeneous probes with arbitrary absorption profiles and it accounts for the decrease in laser intensity due to absorption. Furthermore, it provides a method for optimizing the laser modulation signal such that the accuracy of the estimated absorption profile is maximized. Utilizing the optimized laser modulation signal yields an increase in reconstruction accuracy compared to short laser pulses as well as chirp modulation in many scenarios.
作者: Oliver Lang,Péter Kovács,Mario Huemer,Christian Motz,Thomas Berer,Peter Burgholzer
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To develop a method for reconstructing the optical absorption profile in photoacoustic imaging using a discrete linear state space model that accounts for acoustic attenuation and laser intensity decrease, and to optimize the laser modulation signal for improved accuracy.

The proposed state space model effectively reconstructs absorption profiles in photoacoustic imaging, accounting for acoustic attenuation and laser intensity decrease. It allows for arbitrary laser modulation signals and inhomogeneous probes. Optimization of the laser signal significantly improves reconstruction accuracy compared to conventional pulses or chirps. The method is general and can be extended to higher dimensions via a two-stage process.

The model is 1D and assumes specific discretization parameters; it may not fully capture 2D or 3D complexities without additional steps. The optimization of laser modulation signals is computationally demanding and may not find global minima. Process noise in the model is neglected in some analyses, and the method requires accurate knowledge of material parameters.

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