Abstract
The vector wave analysis of a new type of non-diffracting electromagnetic beam, termed as a high-order Bessel trigonometric (non-vortex) beam, that satisfies the three-dimensional Helmholtz equation in free space, is presented stemming from the vector Maxwell’s equations and Lorenz’ gauge condition. Particular emphasis is made for the cases where the ratio of the wave number over its transverse component k/kR approaches to unity and largely exceeds it. Computed cross-sectional beam profiles demonstrate the significant differences for the components of the electric and magnetic fields in those two limits. The results are of particular importance in the study of electromagnetic wave scattering and radiation forces of this category of trigonometric beams by particles.
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