圆柱腔和自由空间中轨道angular momentum模的模密度
Mode density of orbital angular momentum modes in a cylindrical cavity and in free space
摘要：
在这个简短的说明中，我们推导出一个近似表达式的模式携带轨道角动量（OAM）在圆柱形腔中，这是大相比，在任何方向上的逆波矢的模式密度。我们认为，在大腔极限下，模式渐近收敛到自由空间中相应的OAM模式。我们将结果与外尔定律进行了比较。如所预期的，发现模式密度不取决于模式是否携带OAM。
英文摘要：
In this short note we derive an approximate expression for the mode density of modes carrying orbital angular momentum (OAM) in a cylindrical cavity which is large compared to the inverse wavevector in any direction. We argue that in the large cavity limit the modes asymptotically converges to the corresponding OAM modes in free space. We compare the result to Weyl's law. It is found, as expected, that the mode density does not depend on whether or not the modes carry OAM.
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