Open Access4π-spherically focused electromagnetic wave: diffraction optics approach and high-power limits
Author(s) -
Tae Moon Jeong,
S. V. Bulanov,
P. V. Sasorov,
Stepan Bulanov,
James Koga,
G. Korn
Publication year - 2020
Publication title -
optics express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.387654
Subject(s) - physics , diffraction , optics , electromagnetic radiation , electromagnetic field , geometrical optics , optical field , magnetic field , transverse plane , transverse mode , wavelength , physical optics , computational physics , laser , quantum mechanics , structural engineering , engineering
The focused field and its intensity distribution achieved by the 4π-spherical focusing scheme are investigated within the framework of diffraction optics. Generalized mathematical formulas describing the spatial distributions of the focused electric and magnetic fields are derived for the transverse magnetic and transverse electric mode electromagnetic waves with and without the orbital angular momentum attribute. The mathematical formula obtained shows no singularity in the field in the focal region and satisfies the finite field strength and electromagnetic energy conditions. The 4π-spherical focusing of the transverse magnetic mode electromagnetic wave provides the highest field strength at the focus and the peak intensity reaches 10 26 W/cm 2 for the laser power of 100 PW at 800 nm wavelength. As an example of using the mathematical formula, the electron-positron pair production via the Schwinger mechanism is analyzed and compared with previous results.