Abstract
The presence of widely used features, in particular, the autofocusing feature, of classical Airy beams leads to a thought of a benefit of their modification. There are several generalizations of Airy function both on base of the differential equation modification and variations in the integral notion. In the paper one more type of extended Airy functions is investigated theoretically and numerically. The type is constructed by generalization of the integral notion in a wide range of non-integer values of power. A principal attention in the paper is devoted to obtaining of approximate analytical expressions for extended Airy functions under an arbitrary exponent. On base of introduced functions the new type of autofocusing beams is formed. Extended Airy beams are formed if a diffractive optical element called the generalized lens is placed in an entrance plane of the optical scheme. The numerical examination of beams features is implemented by usage of the fractional Fourier transformation.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
