The existence and evolution of fast-decaying Bessel modes in cylindrical hollow waveguides and in free space

Abstract

ABSTRACTThe 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.