Modes of a two-dimensional phase-locked array of vertical-cavity surface-emitting lasers.
Modes of a two-dimensional phase-locked array of vertical-cavity surface-emitting lasers.
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DOI：
10.1364/ol.15.001215
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发表时间：
1990-11
期刊：
影响因子：
3.6
通讯作者：
G. R. Hadley
中科院分区：
文献类型：
--
作者：
G. R. Hadley
本文报道了一种用于研究垂直腔面发射二极管激光器无限二维锁相阵列模式的简单形式。在这种方法中，亥姆霍兹方程被近似地分离成相关的一维（线性）阵列的解的乘积。这种形式使得从多年来对线性二极管阵列的模态特性的研究中获得的知识可以直接应用于二维阵列。因此，二维增益引导和折射率引导阵列（除了那些在低折射率通道中具有额外增益的阵列）都将以发射到四个不同的离轴远场瓣的高阶模式发射。相反，预期适当构造的二维漏模阵列将优先在远高于阈值的基模中激光。
A simple formalism is reported for studying the modes of an infinite two-dimensional (2-D) phase-locked array of vertical-cavity surface-emitting diode lasers. In this approach, the Helmholtz equation is approximately separated into products of solutions of the associated one-dimensional (linear) arrays. This formalism allows the knowledge gained from years of research into the modal properties of linear diode arrays to be applied directly to 2-D arrays. As a result, it is expected that both 2-D gain-guided and index-guided arrays (except those with excess gain in the low-index channels) will lase in the high-order mode characterized by emission into four distinct off-axis far-field lobes. In contrast, it is expected that properly constructed 2-D leaky-mode arrays would lase preferentially in the fundamental mode well above threshold.