"Version: 20241201"--Title page verso.Includes bibliographical references.1. Introduction -- 2. Mathematical preliminaries -- 2.1. Fourier transform basics -- 2.2. Review of random processes theory -- 2.3. Simulating a random process with known spectral density -- 2.4. Complex signal representation -- 2.5. Spiral phase quadrature transform3. The angular spectrum method -- 3.1. Wave equation -- …
"Version: 20240101"--Title page verso.Includes bibliographical references.1. Introduction -- 1.1. Singularity -- 1.2. Singularities in science and engineering -- 1.3. Acoustic vortex -- 1.4. Singularities in optics -- 1.5. Amplitude, phase and polarization -- 1.6. Brief historical account of optical phase singularities2. Topological features -- 2.1. Introduction -- 2.2. Wavefront shape -- 2.3. …
"Version: 20181101"--Title page verso.Includes bibliographical references.1. Introduction -- 1.1. Singularity -- 1.2. Singularities in science and engineering -- 1.3. Acoustic vortex -- 1.4. Singularities in optics -- 1.5. Amplitude, phase and polarization -- 1.6. Brief historical account of optical phase singularities2. Topological features -- 2.1. Introduction -- 2.2. Wavefront shape -- 2.3. …
"Version: 20201201"--Title page verso.Includes bibliographical references.1. Introduction -- 2. Mathematical preliminaries -- 2.1. Fourier transform basics -- 2.2. Review of random processes theory -- 2.3. Simulating a random process with known spectral density -- 2.4. Complex signal representation -- 2.5. Spiral phase quadrature transform3. The angular spectrum method -- 3.1. Wave equation -- …