Measurement matrix uncertainty model-based microwave induced thermoacoustic sparse reconstruction in acoustically heterogeneous media

2021 ◽  
Vol 119 (26) ◽  
pp. 263701
Author(s):  
Shuangli Liu ◽  
Yanxi Lu ◽  
Xiaozhang Zhu ◽  
Haoran Jin
Keyword(s):  
Heterogeneous Media ◽  
Sparse Reconstruction ◽  
Measurement Matrix ◽  
Model Based ◽  
Uncertainty Model

Photoacoustic tomography of heterogeneous media using a model-based time reversal method

2008 ◽  
Author(s):  
Hubert Grün ◽  
Robert Nuster ◽  
Günther Paltauf ◽  
Markus Haltmeier ◽  
Peter Burgholzer
Keyword(s):  
Time Reversal ◽  
Heterogeneous Media ◽  
Photoacoustic Tomography ◽  
Model Based

Translating safety factors to sources of variability and uncertainty; Model-based design evaluation for the Eindhoven WWTP

2012 ◽  
Vol 2012 (12) ◽  
pp. 4191-4208
Author(s):  
Evangelina Belia ◽  
Lorenzo Benedetti ◽  
Katrijn Cierkens ◽  
Bernard De Baets ◽  
Tony Flameling ◽  
...  
Keyword(s):  
Design Evaluation ◽  
Safety Factors ◽  
Model Based ◽  
Uncertainty Model

Hyperspectral image sparse reconstruction model based on collaborative multidimensional correlation

2021 ◽  
Vol 105 ◽  
pp. 107250
Author(s):  
Xianghai Wang ◽  
Shun Wang ◽  
Yetao Li ◽  
Shicheng Xie ◽  
Jingzhe Tao ◽  
...  
Keyword(s):  
Hyperspectral Image ◽  
Sparse Reconstruction ◽  
Model Based ◽  
Reconstruction Model

A NONLOCAL STRUCTURAL DERIVATIVE MODEL BASED ON THE CAPUTO FRACTIONAL DERIVATIVE FOR SUPERFAST DIFFUSION IN HETEROGENEOUS MEDIA

Fractals ◽  
2020 ◽  
Vol 28 (07) ◽  
pp. 2050122
Author(s):  
WEI XU ◽  
YINGJIE LIANG
Keyword(s):  
Fractional Derivative ◽  
Caputo Fractional Derivative ◽  
Heterogeneous Media ◽  
Mean Square Displacement ◽  
Experimental Investigations ◽  
Structural Function ◽  
Mean Square ◽  
Model Based ◽  
Time Space ◽  
Nanoscale Interfaces

Superfast diffusion exists in various complex anisotropic systems. Its mean square displacement is an exponential function of time proved by several theoretical and experimental investigations. Previous studies have studied the superfast diffusion based on the time-space scaling local structural derivatives without considering the memory of dynamic behavior. This paper proposes a nonlocal time structural derivative model based on the Caputo fractional derivative to describe superfast diffusion in which the structural function is a power law function of time. The obtained concentration of the diffusive particles, i.e. the solution of the structural derivative model is a double-sided exponential distribution. The derived mean square displacement is a Mittag–Leffler function of time, which generalizes the exponential case. To verify the feasibility of the model, the charge and energy transfer at nanoscale interfaces in solar cells and the dynamics of the dripplons between two graphene sheets are employed. Compared with the existing models, the fitting results indicate that the proposed model is more accurate with higher credibility. The properties of the nonlocal structural derivative model with different structural functions are also discussed.

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