177 citations · 579 across the 14 of their papers we have counts for
14 papers
Global displacement induced by rigid motion simulation during MRI acquisition
Ghiles Reguig, Marc Lapert, Stephane Lehericy +1
Purpose: Simulation of motion in the frequency domain during the MRI acquisition process is an important tool to study the effect of object motion. It is natural in this context to…
Optimal control theory for applications in magnetic resonance imaging
E. Van-Reeth, H. Ratiney, M. Lapert +2
We apply innovative mathematical tools coming from optimal control theory to improve theoretical and experimental techniques in Magnetic Resonance Imaging (MRI). This approach allo…
A discrete-pulse optimal control algorithm with an application to spin systems
G. Dridi, M. Lapert, Julien Salomon +2
This article is aimed at extending the framework of optimal control techniques to the situation where the control field values are restricted to a finite set. We propose a generali…
Optimal control of the signal to noise ratio per unit time for a spin 1/2 particle
M. Lapert, E. Assémat, S. J. Glaser +1
We investigate the maximum signal to noise ratio per unit time that can be achieved for a spin 1/2 particle subjected to a periodic pulse sequence. Optimal control techniques are a…
Exploring the physical limits of saturation contrast in Magnetic Resonance Imagign
M. Lapert, Y. Zhang, M. Janich +2
Magnetic Resonance Imaging has become nowadays an indispensable tool with applications ranging from medicine to material science. However, so far the physical limits of the maximum…
Geometric optimal control of the contrast imaging problem in Nuclear Magnetic Resonance
B. Bonnard, O. Cots, S. J. Glaser +3
The objective of this article is to introduce the tools to analyze the contrast imaging problem in Nuclear Magnetic Resonance. Optimal trajectories can be selected among extremal s…
Field-free molecular orientation by THz laser pulses at high temperature
M. Lapert, D. Sugny
We investigate to which extend a THz laser pulse can be used to produce field-free molecular orientation at high temperature. We consider laser pulses that can be implemented with…
Time-optimal monotonic convergent algorithms for the control of quantum systems
M. Lapert, J. Salomon, D. Sugny
We present a new formulation of monotonically convergent algorithms which allows to optimize both the control duration and the field fluence. A standard algorithm designs a control…
Optimal control of quantum superpositions in a bosonic Josephson junction
Marc Lapert, Giulia Ferrini, Dominique Sugny
We show how to optimally control the creation of quantum superpositions in a bosonic Josephson junction within the two-site Bose-Hubbard model framework. Both geometric and purely…
Saturation of a spin 1/2 particle by generalized Local control
F. Mintert, M. Lapert, Y. Zhang +2
We show how to apply a generalization of Local control design to the problem of saturation of a spin 1/2 particle by magnetic fields in Nuclear Magnetic Resonance. The generalizati…
Simultaneous time-optimal control of the inversion of two spin 1/2 particles
E. Assemat, M. Lapert, Y. Zhang +3
We analyze the simultaneous time-optimal control of two-spin systems. The two non coupled spins which differ in the value of their chemical offsets are controlled by the same magne…
Singular extremals for the time-optimal control of dissipative spin 1/2 particles
M. Lapert, Y. Zhang, M. Braun +2
We consider the time-optimal control by magnetic fields of a spin 1/2 particle in a dissipative environment. This system is used as an illustrative example to show the role of sing…
Monotonically convergent optimal control theory of quantum systems with spectral constraints on the control field
M. Lapert, R. Tehini, G. Turinici +1
We propose a new monotonically convergent algorithm which can enforce spectral constraints on the control field (and extends to arbitrary filters). The procedure differs from stand…
Monotonically convergent optimal control theory of quantum systems under a nonlinear interaction with the control field
M. Lapert, R. Tehini, G. Turinici +1
We consider the optimal control of quantum systems interacting non-linearly with an electromagnetic field. We propose new monotonically convergent algorithms to solve the optimal e…