Research Article

Rough Mirror as a Quantum State Selector: Analysis and Design

Table 3

Three numerical runs for 1D surfaces emulate the Gaussian correlation of inhomogeneities with and (the assumed [37] roughness of the mirror in earlier GRANIT experiments [2ā€“4, 6]). The true value of the observable for such a surface is . The extracted correlators are fitted with Gaussian, , exponential, , and power law, fitting functions. The table contains the best fitting values of , statistical quality of the fits , and the recalculated values of . The best fitting values of are close to each other and are not listed. The columns with and give the values of and the standard deviation when the spectral decomposition of the raw correlation data is put directly into equations for [37] without using the fitting functions.

#

1 1.19, 5.24 1.59, 5.81 1.44, 5.81 1.92 23.86, 18.19, 18.81, 21.96
2 1.15, 4.49 1.53, 4.56 1.36, 4.64 1.83 23.33, 17.84, 18.65, 21.14
3 1.25, 4.37 1.69, 4.40 1.54, 4.47 1.69 23.56, 17.26, 17.85, 20.96