This book gives insight into the theoretical backgrounds of optical vortices and their propagation in free space and simple optical systems. The author’s theoretical analysis allows full comprehension of recent results and allows a bridge between the mentioned topics. For example, there is a solution for an accelerating beam propagating along an almost half-circle, obtained from a solution for an asymmetric vortex Bessel mode. And vice versa, there is a solution for an optical vortex with accelerating focusing, obtained from a solution for a two-dimensional accelerating Pearcey beam. The book is intended for graduate and postgraduate students studying optics or wave physics.

About the Author

Victor V. Kotlyar graduated from Kuibyshev State University's department of Physics in 1979 and joined the Kuibyshev branch of S. Lebedev Physical Institute of the USSR Academy of Sciences, working as a junior researcher from 1981 to 1988. In 1988 he took the position of a sector head at Samara branch of the Central Design Bureau of Unique Instrumentation of the USSR Academy of Sciences. Since 1993, he has been working as the head of the IPSI RAS Laboratory of Laser Measurements and the IPSI RAS academic secretary. He has published 450 research publications, including 10 monographs and 7 author's certificates and patents. Alexey A. Kovalev graduated in 2002 from Samara National Research University, majoring in Applied Mathematics. He received his Doctor in Physics & Maths degree in 2012. He is a senior researcher of Laser Measurements laboratory at IPSI RAS and a coauthor of more than 150 scientific papers. His current research interests are mathematical diffraction theory and photonic crystal devices.

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