Optical Vortex Beams with an Infinite Topological Charge

In this chapter, adopting the previous approach, we construct theoretically four examples of scalar light fields with infinite topological charge. The first example is the Gaussian beam with a vortex-argument cosine function, whereas the second example is the Gaussian beam with a vortex-argument Bessel function. The third example is the Gaussian beam with the cosine function of the squared vortex-argument and, finally, the fourth example is the Gaussian beam with the vortex-argument cosine function raised to power.