This book deals with theoretical bases of the modern optics division concerned with
coherent light fields with singularities characterized by phase uncertainty. Singular light …

We obtain analytical expressions for the complex amplitudes of optical vortices deformed by
astigmatic transforms, ie, passed either through a cylindrical lens or through an inclined …

The generation, propagation, and detection of high-quality and coherently superimposed
optical vortices, carrying two or more orbital angular momentum (OAM) states, is …

We theoretically study a Gaussian optical beam with an embedded off-axis optical vortex.
We also experimentally generate such an asymmetric Gaussian optical vortex by using an …

Higher-order optical vortices are inherently unstable in the sense that they tend to split up in
a series of vortices with unity charge. We demonstrate this vortex-splitting phenomenon in …

As an emerging channel resource for modern optics, big data, internet traffic and quantum
technologies, twisted photons carrying orbital angular momentum (OAM) have been …

Optical elements coupling the spin and orbital angular momentum (SAM/OAM) of light have
found a range of applications in classical and quantum optics. The J-plate, with J referring to …

We analyze an elliptic optical vortex embedded into a Gaussian beam. Explicit closed
expressions for the complex amplitude and normalized orbital angular momentum (OAM) of …

Here we obtain a simple formula for the relative total orbital angular momentum (OAM) of a
paraxial light beam with arbitrary rotationally symmetric complex amplitude, passed through …

We generalize the concept of perfect optical vortices, studying the elliptic perfect optical
vortices (EPOVs), which also have diameters independent of the topological charge. A …