研究目的
Theoretical analysis of multi-stability in a symmetric ring laser operating in one single longitudinal mode in the presence of coherent back scattering and inversion-grating-induced mutual coupling of the clockwise and counter-clockwise modes.
研究成果
The study confirms that linear coupling due to waveguide irregularities or weak interface reflections leads to an effective pump strength below which the clock and anti-clock wise modes are symmetrically coupled, whereas above which the grating-induced coupling leads to multi-stability. The findings are in qualitative agreement with previous studies.
研究不足
The study is theoretical and does not include experimental validation. The model assumes a single-longitudinal mode operation and does not consider heating effects nor different longitudinal modes.
1：Experimental Design and Method Selection:
The study is based on a theoretical model that takes into account the inversion grating created by the standing-wave pattern of the interfering counter-propagating fields. The model avoids the frequently used ad-hoc introduction of cross and self-saturation coefficients.
2：Sample Selection and Data Sources:
The analysis is purely theoretical, focusing on the behavior of a symmetric ring laser under specific conditions.
3：List of Experimental Equipment and Materials:
Not applicable as the study is theoretical.
4：Experimental Procedures and Operational Workflow:
The study involves the formulation and analysis of rate equations describing the CW and CCW single-mode operation and the formation of the inversion grating by spatial hole burning (SHB).
5：Data Analysis Methods:
The stability of the system is analyzed through linearization around fixed-point solutions of the rate equations, and bifurcation diagrams are presented for different back-scatter phases.
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