Multiple-twisted spiral beams

We propose a method to construct paraxial light fields whose transverse intensity rotates as a whole during the field propagation (spiral beams), and the total rotation angle is an integer multiple of π/2 (multiple-twisted beams). We derive analytical expressions for the field complex amplitude by utilizing an integral description of Laguerre–Gaussian beams. This method provides a straightforward way to obtain multiple-twisted spiral beams of various intensity shapes and rotation rates.