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Regenerative Modes in Laser Resonators

机译:激光谐振器的再生模式

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We will develop a general theory of laser resonators based on an analysis of optimized regenerative optical amplifiers. In particular, we demonstrate that a description of the circulating field in the regenerative amplifier should not be decoupled from the injected field description. Specifically, we solve the following problem: for a given wavelength and gain setting, is there an injected field that will maximize the regenerative gain of an optical regenerative amplifier? Here, we derive the integral equations that solve this problem. The injected field solutions, as well as the simultaneously derived circulating field solutions, provide a unified basis for analyzing optical resonators. The method accurately predicts circulating and injected mode distributions from below threshold, the regenerative amplifier case, to threshold, the laser oscillator case. If we concentrate on the high-regenerative gain limit, the dominant circulating mode from this approach is well-approximated by the dominant self-replicating Fox-Li mode. However, our new laser resonator analysis based on an optimized regenerative amplifier is unifying; it provides accurate agreement with all near- and far-field observations, while also accurately explaining noise accrual, laser mode formation data, and higher order lateral modes. Furthermore, because the underlying equations are Hermitian, the circulating and injected modes that are predicted with this approach are complete and power orthogonal. This regenerative approach to laser resonator analysis retains the strengths of the standard theory while avoiding its pitfalls.
机译:我们将基于优化的再生光放大器的分析,发展激光谐振器的一般理论。特别是,我们证明了再生放大器中循环场的描述不应与注入场的描述脱钩。具体来说,我们解决了以下问题:对于给定的波长和增益设置,是否存在将使光再生放大器的再生增益最大化的注入场?在这里,我们导出解决该问题的积分方程。注入的场解以及同时导出的循环场解为分析光学谐振器提供了统一的基础。该方法可以准确地预测循环和注入模式分布,从低于阈值(再生放大器情况)到阈值(激光振荡器情况)。如果我们专注于高回馈增益极限,则该方法的主要循环模式与主要的自我复制Fox-Li模式非常近似。但是,我们基于优化的再生放大器的新型激光谐振器分析正在统一。它提供了与所有近场和远场观测结果的精确一致性,同时还准确地解释了噪声累积,激光模式形成数据和高阶横向模式。此外,由于基本方程是Hermitian,因此使用此方法预测的循环和注入模式是完整的且幂正交。激光谐振器分析的这种再生方法保留了标准理论的优势,同时避免了陷阱。

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