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Perturbative representation of ultrashort nonparaxial elegant Laguerre-Gaussian fields

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Pi,  Liang-Wen
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Citation

Vikartofsky, A., Starace, A. F., & Pi, L.-W. (2018). Perturbative representation of ultrashort nonparaxial elegant Laguerre-Gaussian fields. Physical Review A, 98(4): 043820. doi:10.1103/PhysRevA.98.043820.


Cite as: https://hdl.handle.net/21.11116/0000-0002-7958-4
Abstract
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. This model is thus appropriate for simulating laser-matter interactions, including those involving short laser pulses.