The lensacon: nonparaxial effects

Хонина С.Н., Казанский Н.Л., Устинов А.В., Волотовский С.Г. Линзакон: непараксиальные эффекты // Оптический журнал. 2011. Т. 78. № 11. С. 44–51.

Khonina S.N., Kazanskiy N.L., Ustinov A.V., Volotovskiy S.G. The lensacon: nonparaxial effects [in Russian] // Opticheskii Zhurnal. 2011. V. 78. № 11. P. 44–51.

S. N. Khonina, N. L. Kazanskiĭ, A. V. Ustinov, and S. G. Volotovskiĭ, "The lensacon: nonparaxial effects," Journal of Optical Technology. 78(11), 724-729 (2011). https://doi.org/10.1364/JOT.78.000724

This paper uses the integral Rayleigh–Sommerfeld transformation of the first type and an expansion in plane waves to investigate the nonparaxial phenomena that appear when optical elements are combined (using the lensacon as an example) even with a low numerical aperture. The contribution of various components of the vector field when high-aperture optical elements are used in tandem was also taken into account. Based on our studies, it is shown that, in the case of radial polarization, supplementing a lens with an axicon makes it possible to substantially strengthen the contribution of the longitudinal component and to overcome the diffraction limit in the overall intensity by a method that is an alternative to using an annular stop.

The research was supported by Russian-American program "Basic research and higher education" (grant No. CRDF PG080141), RFBR grants Nos. 10-07-00109-а, 10-07-00438-а, 10-07-00553-а and grant by the President of RF on support of leading scientific schools No. НШ7414.2010.9.