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    Simulated propagation of ultrashort pulses modulated by low-Fresnel-number lenses using truncated series expansions


    Mahon, Ronan John and Murphy, J.Anthony (2014) Simulated propagation of ultrashort pulses modulated by low-Fresnel-number lenses using truncated series expansions. Applied Optics, 53 (25). pp. 5701-5711. ISSN 1559-128X

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    Abstract

    Numerical simulation of the paraxial propagation of pulses modulated by lenses is demonstrated using the Laguerre–Gaussian (LG) series expansion method. This technique allows for relatively swift evaluation of the structures of several individual monochromatic fields transformed by arbitrary amplitude and phase modulating pupil functions, which can be superimposed via the inverse Fourier transform to determine the structure of a modulated pulse. The transformation of ultrashort pulses by spherical, diffractive, and conical lenses is simulated using this method, which is particularly effective with the use of vector and matrix techniques available in many popular numerical software packages. A description of the convergence of the LG series to the results of the conventional integral techniques is presented for a conical lens under illumination by a continuous wave from which a simple but robust criterion for axial accuracy in problems of circular symmetry is suggested.

    Item Type: Article
    Keywords: Pulses; Diffractive lenses; Wave propagation; Fourier transforms; Fresnel diffraction; Numerical simulation; Spatial frequency; Ultrashort pulses;
    Academic Unit: Faculty of Science and Engineering > Experimental Physics
    Item ID: 13919
    Identification Number: https://doi.org/10.1364/AO.53.005701
    Depositing User: Dr. Anthony Murphy
    Date Deposited: 01 Feb 2021 16:42
    Journal or Publication Title: Applied Optics
    Publisher: Optical Society of America
    Refereed: Yes
    URI:

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