scholarly journals High-resolution combined tunneling electron charge and spin transport theory of Néel and Bloch skyrmions

2018 ◽  
Vol 98 (9) ◽  
Author(s):  
Krisztián Palotás
Keyword(s):  
High Resolution ◽  
Spin Transport ◽  
Transport Theory ◽  
Electron Charge ◽  
Tunneling Electron

scholarly journals The application of an optimal transport to a preconditioned data matching function for robust waveform inversion

Geophysics ◽  
2019 ◽  
Vol 84 (6) ◽  
pp. R923-R945 ◽  
Author(s):  
Bingbing Sun ◽  
Tariq Alkhalifah
Keyword(s):  
High Resolution ◽  
Probability Distribution ◽  
Transport Theory ◽  
Optimal Transport ◽  
Waveform Inversion ◽  
Delta Function ◽  
Dirac Delta Function ◽  
Dirac Delta ◽  
Matching Filter ◽  
Optimal Transport Theory

Full-waveform inversion (FWI) promises a high-resolution model of the earth. It is, however, a highly nonlinear inverse problem; thus, we iteratively update the subsurface model by minimizing a misfit function that measures the difference between the measured and the predicted data. The conventional [Formula: see text]-norm misfit function is widely used because it provides a simple, high-resolution misfit function with a sample-by-sample comparison. However, it is susceptible to local minima if the low-wavenumber components of the initial model are not accurate. Deconvolution of the predicted and measured data offers an extended space comparison, which is more global. The matching filter calculated from the deconvolution has energy focused at zero lag, like an approximated Dirac delta function, when the predicted data matches the measured one. We have introduced a framework for designing misfit functions by measuring the distance between the matching filter and a representation of the Dirac delta function using optimal transport theory. We have used the Wasserstein [Formula: see text] distance, which provides us with the optimal transport between two probability distribution functions. Unlike data, the matching filter can be easily transformed to a probability distribution satisfying the requirement of the optimal transport theory. Though in one form, it admits the conventional normalized penalty applied to the nonzero-lag energy in the matching filter, the proposed misfit function is metric and extracts its form from solid mathematical foundations based on optimal transport theory. Explicitly, we can derive the adaptive waveform inversion (AWI) misfit function based on our framework, and the critical “normalization” for AWI occurs naturally per the requirement of a probability distribution. We use a modified Marmousi model and the BP salt model to verify the features of the proposed method in avoiding cycle skipping. We use the Chevron 2014 FWI benchmark data set to further highlight the effectiveness of the proposed approach.

scholarly journals Theory of high-resolution tunneling spin transport on a magnetic skyrmion

2018 ◽  
Vol 97 (17) ◽  
Author(s):  
Krisztián Palotás ◽  
Levente Rózsa ◽  
László Szunyogh
Keyword(s):  
High Resolution ◽  
Spin Transport
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