Riesz basis property of the generalized eigenvector system of a Timoshenko beam

The Riesz basis property of the generalized eigenvector system of a Timoshenko beam with boundary feedback controls appliedto two ends is studied in this paper. The spectral property of the operator A determined by the closed loop system is investigated.It is shown that operator A has compact resolvent and generatesa C₀ semigroup, and its spectrum consistsof two branches and has two asymptotes under some conditions.Furthermore it is proved that the sequence of all generalizedeigenvectors of the system principal operator forms a Rieszbasis for the state Hilbert space.     

Stimulated emission cross sections and temperature-dependent spectral shifts of neutral nitrogen-vacancy centers in diamonds

The neutral nitrogen-vacancy (NV⁰) defects in diamond are photostable color centers, suitable for a wide range of applications in science and engineering. However, the photophysical properties of the centers have not yet been fully characterized. This work measured the stimulated emission cross sections of NV⁰ in a single-crystal diamond by two-photon excitation of its matrix at 344 nm. From the measured photoluminescence spectrum and the fluorescence lifetime of 20 ± 1 ns, we determined a peak stimulated emission cross section of 1.43 ± 0.07 × 10⁻¹⁷ cm² at 650 nm for the NV⁰ centers. In addition, we have also examined the thermal shifts of the zero-phonon line of NV⁰ centers in nanoscale diamonds (~100 nm in diameter) over the temperature range of 30–120°C. A temperature measurement sensitivity of 0.2 K·Hz^−1/2 was achieved, which is about two-fold better than that of NV⁻, despite that the fluorescence intensity of NV⁰ is about six-fold lower than that of NV⁻ in the same nanoparticles. The result is attributed to the smaller electron–phonon coupling strength of the neutral center, compared with its negatively charged counterpart.