Perturbative representation of ultrashort nonparaxial elegant Laguerre-Gaussian fields

Journal Article · 09 October 2018 · Physical Review A

DOI: https://doi.org/10.1103/physreva.98.043820 · OSTI ID:1610305

Vikartofsky, Andrew ^[1]; Starace, Anthony F. ^[2]; Pi, Liang-Wen ^[3]

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1. Univ. of Nebraska, Lincoln, NE (United States); DOE/OSTI
2. Univ. of Nebraska, Lincoln, NE (United States)
3. Max Planck Inst. for the Physics of Complex Systems, Dresden (Germany)

An analytical method for calculating the electromagnetic fields of a nonparaxial elegant Laguerre-Gaussian (LG) vortex beam is presented for arbitrary pulse duration, spot size, and LG mode. This perturbative approach provides a numerically tractable model for the calculation of arbitrarily high radial and azimuthal LG modes in the nonparaxial regime, without requiring integral representations of the fields. A key feature of this perturbative model is its use of a Poisson-like frequency spectrum, which allows for the proper description of pulses of arbitrarily short duration. Lastly, this model is thus appropriate for simulating laser-matter interactions, including those involving short laser pulses.

• Research Organization: Univ. of Nebraska, Lincoln, NE (United States)
• Sponsoring Organization: USDOE; USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Chemical Sciences, Geosciences & Biosciences Division
• Grant/Contract Number: FG02-96ER14646
• OSTI ID: 1610305
• Journal Information: Physical Review A, Journal Name: Physical Review A Journal Issue: 4 Vol. 98; ISSN PLRAAN; ISSN 2469-9926
• Publisher: American Physical Society (APS)Copyright Statement
• Country of Publication: United States
• Language: English