Electromagnetic diffraction theory of refractive axicon lenses

Wang, Yangyundou; Yan, Shenggang; Friberg, Ari T.; Kuebel, David; Visser, Taco D.

doi:10.1364/josaa.34.001201

Cited by 29 publications

(11 citation statements)

References 28 publications

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“…This is reasonable because of the beam profile modification by the axicon, consistent with Ref. [27,28]. The detailed calculation is given in the Supplemental Materials (available here).…”

Section: Resultssupporting

confidence: 84%

Bessel Terahertz Pulses from Superluminal Laser Plasma Filaments

Zhang

Chen

et al. 2022

Ultrafast Sci

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Terahertz radiation with a Bessel beam profile is demonstrated experimentally from a two-color laser filament in air, which is induced by tailored femtosecond laser pulses with an axicon. The temporal and spatial distributions of Bessel rings of the terahertz radiation are retrieved after being collected in the far field. A theoretical model is proposed, which suggests that such Bessel terahertz pulses are produced due to the combined effects of the inhomogeneous superluminal filament structure and the phase change of the two-color laser components inside the plasma channel. These two effects lead to wavefront crossover and constructive/destructive interference of terahertz radiation from different plasma sources along the laser filament, respectively. Compared with other methods, our technique can support the generation of Bessel pulses with broad spectral bandwidth. Such Bessel pulses can propagate to the far field without significant spatial spreading, which shall provide new opportunities for terahertz applications.

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“…This is reasonable because of the beam profile modification by the axicon, consistent with Ref. [27,28]. The detailed calculation is given in the Supplemental Materials (available here).…”

Section: Resultssupporting

confidence: 84%

Bessel Terahertz Pulses from Superluminal Laser Plasma Filaments

Zhang

Chen

et al. 2022

Ultrafast Sci

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“…The right-hand side of Equation (3) can be read as the transmission function of a circular phase grating with constant radial period. This kind of object, as well as its variations, has been studied in numberless papers, which began almost a century ago and kept appearing up to the present (for a sample through decades see [26,[29][30][31][32][33][34][35][36][37][38]).…”

Section: Mode Evaluationmentioning

confidence: 99%

Modal Analysis of Pseudo-Schell Model Sources

et al. 2021

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All pseudo-Schell model sources have been shown to possess the same continuous set of circularly symmetric modes, all of them presenting a conical wavefront. For keeping energy at a finite level, the mode amplitude along the radial coordinate is modulated by a decreasing exponential function. A peculiar property of such modes is that they exist in the Laplace transform’s realm. After a brief discussion of the near-zone, we pass to the far-zone, where the field can be evaluated in closed form. The corresponding features of the intensity distribution are discussed.

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“…As shown in [2,3], this can be reached by the weighted adjoint inversion method. It is a filtered backpropagation [18] and as the TSVD belongs to the class of Tikhonov regularization scheme [19]. According to such an approach, theĒ ap can be expressed asĒ…”

Section: Point-spread Functionmentioning

confidence: 99%

On-Axis Resolution of a Circular Aperture

Maisto

2021

Electronics

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In this paper, the problem to estimate the on-axis resolution in creating a desired field profile by radiation of an aperture A is addressed. The latter applies in both diffractive optics and antenna synthesis. This is because the ‘aperture theory’, A can schematize a source, for example, an antenna or a lens illuminated by an incident field radiating a significant field only on the same aperture. The analysis refers to a customary axicon geometry consisting of a circle aperture transverse to the observation domain. The aim was to find a resolution formula allowing to highlight the impact of aperture geometrical parameters for configurations that are below the Fresnel approximation. The results show that the aperture cannot approximate the target field with the same level of accuracy along with the observation domain. In particular, near the aperture, smaller details can be retrieved and as the distance increases this ability degrades.

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Electromagnetic diffraction theory of refractive axicon lenses

Cited by 29 publications

References 28 publications

Bessel Terahertz Pulses from Superluminal Laser Plasma Filaments

Bessel Terahertz Pulses from Superluminal Laser Plasma Filaments

Modal Analysis of Pseudo-Schell Model Sources

On-Axis Resolution of a Circular Aperture

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