Action of a generalized parabolic (aspheric) lens in different optical models

A. V. Ustinov

doi:10.1117/12.2268865

6 April 2017 Action of a generalized parabolic (aspheric) lens in different optical models

A. V. Ustinov

Proceedings Volume 10342, Optical Technologies for Telecommunications 2016; 103420I (2017) https://doi.org/10.1117/12.2268865
Event: XIV International Scientific and Technical Conference on Optical Technologies in Telecommunications, 2016, Samara, Russian Federation

Abstract

An action survey of the optical elements class named by generalized parabolic lens is cited in this paper. The approximately-analytical and numerical analysis of radiation transformation realized by the generalized parabolic lens is described within the limits of different theories: geometrical-optics and wave (paraxial and nonparaxial). The types of refracting aspherical surfaces described with power function are defined on base of the geometrical-optics analysis. The surfaces allow forming characteristic intensity distributions on an optical axis. A paraxial propagation of laser beam with an initial arbitrary power phase function is described with approximate analytical expressions which are agreed qualitatively with the geometrical-optics analysis. The obtained expressions are precise for exponents 1 and 4. A nonparaxial analysis is implemented on base of calculation of the Rayleigh-Sommerfeld integral with qualifying corrections. It is shown that essential growth of intensity in the focus happens at the exponent value from 1 to 2, and the maximal intensity is achieved in a middle of the range.

Citation Download Citation

A. V. Ustinov "Action of a generalized parabolic (aspheric) lens in different optical models", Proc. SPIE 10342, Optical Technologies for Telecommunications 2016, 103420I (6 April 2017); https://doi.org/10.1117/12.2268865

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available