2008
DOI: 10.1364/oe.16.001077
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Ultrashort-pulsed truncated polychromatic Bessel-Gauss beams

Abstract: Spatio-spectral and spatio-temporal transfer and intensity propagation of truncated ultrashort-pulsed Bessel-Gauss beams were investigated. Extended needle-shaped focal zones were generated using a compact setup with a reflective small-angle axicon and self-apodized truncation by an adapted aperture. Spectral maps of Bessel-Gauss beams were analyzed on the basis of higher order statistical moments. Compared to focused pulsed Gaussian beams with their spectrally dependent propagation, an ultrabroadband spatio-s… Show more

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Cited by 34 publications
(29 citation statements)
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“…The method of statistical moments can also be applied to intensity distributions as detected in the case of fringe-free BAC signals obtained with needle beams. If the conical angle is small enough, only the central maximum of a Bessel-like beam appears which was referred to as a "needle beam" [24][25][26]. Beside the needle shape, such particular nondiffracting beams are characterized by the very advantageous property to keep their spectral and temporal parameters during the propagation over an extended focal zone (in contrast to, e.g., a Gaussian beam focus).…”
Section: Proposal Of a Fringeless Bessel Autocorrelatormentioning
confidence: 99%
“…The method of statistical moments can also be applied to intensity distributions as detected in the case of fringe-free BAC signals obtained with needle beams. If the conical angle is small enough, only the central maximum of a Bessel-like beam appears which was referred to as a "needle beam" [24][25][26]. Beside the needle shape, such particular nondiffracting beams are characterized by the very advantageous property to keep their spectral and temporal parameters during the propagation over an extended focal zone (in contrast to, e.g., a Gaussian beam focus).…”
Section: Proposal Of a Fringeless Bessel Autocorrelatormentioning
confidence: 99%
“…In case of Bessel beams, this can be circumvented in two ways: (A) by downstream spatial filtering in a self-apodizing truncation setup, i.e., matching a diaphragm to the first zero of the intensity distribution so that the central lobe passes without diffraction (but wasting the energy of the fringes) [17,43], or (B) in aperture-less setup by optimizing the parameters (conical angle, waist radius of the input profile) to only generate this central lobe exactly to the first zero (fulfilling a self-apodizing condition [43,44]). Because of the distinct needle-shape, this particular type of paraxial single-maximum Bessel-like beams was referred to by us as "needle beams" [17,43,44]. To illustrate that, Figures 2b show the intensity distribution functions of a Bessel beam and a needle beam in a transversal plane, respectively.…”
Section: Pulsed Needle Beams and Highly Localized Wavepacketsmentioning
confidence: 99%
“…To numerically simulate the generation of femtosecond Bessel patterns, a computer program based on a decomposition in an angular spectrum of monochromatic plane waves was developed [27,32,33]. The diffraction integral has to be solved for each spectral contribution.…”
Section: Bessel Autocorrelation With Simulated Fringe Patternsmentioning
confidence: 99%