| Summary: | 碩士 === 國立成功大學 === 物理學系 === 87 === A singular value decomposition (SVD) eigenvalue spectrum is employed to explore the deterministic nature of a complex time series from a solid-state laser. With this method, the signature of chaos can be quickly identified and the noise contamination ratio can be easily estimated. It is generally believed that total output noise is always smaller than modal output noise, because of random partition of quantum fluctuation into lasing modes (i.e., mode partition noise) in multi-mode lasers. In this thesis, we show that while chaos occurs in a free-running Nd:YVO4 multi-mode microchip laser, modal output noise can be smaller than total output noise based on the SVD. The simulation results are also shown based on a set of rate equations of inhomogeneously-broadened class-B lasers which are deduced by modifying a continuous model reported for the Nd-doped fiber lasers. Similar features also can be found numerically.
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