The formation of polymorphic beams with diffraction-free properties

The article presents a method for generating beams that form a given two-dimensional curve in the focal plane of the lens. In this method, you can control the intensity and phase gradient along the curve. The changes occurring with the beam are considered when the amplitude part of the field is tilted, when the amplitude part is set. Shapes with predetermined high amplitude gradients and predetermined phase gradients can be used for applications such as laser microprocessing and optical capture. This method allows us to simulate a field such that after passing it through the lens, we obtain a given optical figure with a given intensity gradient and a given phase gradient.