Born approximation versus the exact approach to carrier-impurity collisions in a one-dimensional semiconductor: Impact on the mobility

1999 ◽  
Vol 59 (16) ◽  
pp. R10445-R10448 ◽  
Author(s):  
Martin Moško ◽  
Pavel Vagner
Keyword(s):  
Born Approximation ◽  
One Dimensional ◽  
Exact Approach

scholarly journals Geometric reconstruction of flaws by one‐dimensional inverse Born approximation

1982 ◽  
Vol 72 (S1) ◽  
pp. S105-S106
Author(s):  
D. K. Hsu ◽  
James H. Rose ◽  
R. B. Thompson ◽  
D. O. Thompson
Keyword(s):  
Born Approximation ◽  
One Dimensional ◽  
Geometric Reconstruction

Beyond the Born approximation in one-dimensional profile reconstruction

1995 ◽  
Vol 12 (7) ◽  
pp. 1469 ◽  
Author(s):  
Charles J. Trantanella ◽  
Donald G. Dudley ◽  
Khalid A. Nabulsi
Keyword(s):  
Born Approximation ◽  
One Dimensional ◽  
Profile Reconstruction

A comparison between the Born and Rytov approximations for the inverse backscattering problem

Geophysics ◽  
1989 ◽  
Vol 54 (7) ◽  
pp. 864-871 ◽  
Author(s):  
Subramaniam D. Rajan ◽  
George V. Frisk
Keyword(s):  
Born Approximation ◽  
Sound Speed ◽  
Dimensional Problem ◽  
Low Velocity ◽  
One Dimensional ◽  
Acoustic Backscattering ◽  
Rytov Approximation ◽  
The One ◽  
Rytov Method ◽  
Better Than

We compare the Born and Rytov approximations in solving the inverse acoustic backscattering problem, i.e., determining medium properties from reflections. For the one‐dimensional problem, we show that the Rytov approximation is generally better than the Born approximation in predicting sound speed changes, while both methods have the same error in determining the positions of reflectors. This is shown analytically for simple models and numerically for more general models. The performance of the Rytov approximation is degraded when low‐velocity regions are present in the medium being probed. The accuracy of the inversion depends on the manner in which the sound speed perturbation is linearized. The location of the receiver affects the accuracy of the inversion, and, in the case of the Rytov approximation, best results are obtained when the receiver is at the interface between the known and unknown regions. Furthermore, the Rytov method is less sensitive to the choice of reference sound speed used in the inversion than is the Born approximation.

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