Self-bending of Scorer beams controlled by an extra field

Controlling the transmission trajectory of a light beam, to propagate along any curve without diffraction, is an important issue in the current beam transmission theory and engineering practice. This article introduces a bending factor for the manipulation of Scorer beams, providing a novel approach to the control of non-diffractive beams. In effect, the introduction of the bending factor results in the appearance of a new one-parameter family of Scorer beams. Using the (1 + 1)-dimensional Schrödinger equation with an extra field, we analyze the influence of the bending factor on both infinite- and finite-energy Scorer beams. We display intensity distributions of the propagating Scorer beams along straight or curved lines, which are controlled by adjusting the bending factor. Our results indicate that selecting an appropriate bending factor can effectively control the non-diffracting and self-bending properties of these novel Scorer beams. This method can also be extended to other non-diffracting beams.