The unbounded case is investigated, showing that the Ernst angle solution is the optimal solution of the control problem.
In this proposition, the control law is made of a δ- pulse, featured by a specific rotation angle, and known as the Ernst angle solution.
In [38], we have shown in the case of unbounded controls that the Ernst angle solution is the optimal solution of this control problem.
This point can be characterized by the well-known Ernst angle solution: costheta=frac{e^{-gamma}+e^{-Gamma}}{1+e^{-Gamma-gamma}}, (8).
Therefore, the way to obtain an accurate attitude angle solution in different environmental conditions without the external absolute reference signals forms one of the significant challenges to be concerned [7, 8].
In the ideal case of a homogeneous ensemble of spin systems, we have demonstrated the optimality in the limit of unbounded controls of the Ernst angle solution, derived in the sixties, to enhance the SNR.
In addition, similar to the algorithms mentioned above, we are only interested in the unambiguous angle solution, which depends on the ratio of interelement spacing of the array to the wavelength.
Using Hall's solution to approximate access resistance and simplifying eq 4 at large z, the inner pipet radius can be calculated using the half-cone angle, solution resistivity, and combined resistance (Supporting Material) as: 5 The comparison of experimentally measured and simulated approach curves to a flat surface is shown in Figure 1I.
In this paper we develop novel extensions of collision and track length estimators for the complete space-angle solutions of radiative transport problems.
Finally, the numerical tilt-angle solution was determined from the acquired projected area by computer calculation.
