ABSTRACT The fundamental problem of propagation invariant Bessel beams is that they are not square-integrable in the transverse direction, and are therefore associated with an infinite power flux. Hence, truncated Bessel beams are typically considered instead. These are generated by finite apertures or apodized by a Gaussian transmittance. We obtain a different square-integrable solution of the Bessel field distribution. We show that the cylindrical symmetric hollow waveguide as a resonator modulates its own field during its propagation. These fast-decaying modes satisfy Maxwell's equations and can be expressed in analytic form.

中文翻译：

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圆柱形空心波导和自由空间中快速衰减贝塞尔模式的存在和演化

摘要 传播不变贝塞尔光束的基本问题是它们在横向上不可平方积分，因此与无穷大的功率通量有关。因此，通常会考虑截断的贝塞尔梁。这些由有限孔径产生或由高斯透射率切趾。我们获得了贝塞尔场分布的不同平方可积解。我们展示了圆柱形对称空心波导作为谐振器在其传播过程中调制其自身的场。这些快速衰减模式满足麦克斯韦方程组并且可以用解析形式表示。