Lossless laser beam shaping

Romero, Louis A.; Dickey, Fred M.

doi:10.1364/josaa.13.000751

Cited by 128 publications

(58 citation statements)

References 5 publications

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“…In general, a collimated beam shaper, 2,3 or more often a phase element 4,5 is combined with a lens to generate a focal beam with the desired irradiance pattern at the focal plane of the lens. These FBS approaches make use of the Fourier transforming properties of lenses.…”

Section: Introductionmentioning

confidence: 99%

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Enhanced performance of refractive laser beam shapers through additional phase control at focus

Meuret

Vervaeke

et al. 2016

Opt. Eng

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Abstract. Laser beam shaping at focus or focal beam shaping is essential for many applications. The most common approach makes use of the Fourier transforming properties of lenses to generate at their focal planes the desired irradiance patterns, e.g., the flattop. There are two inherent limitations for this approach. First, the shaping quality depends strongly on the dimensionless parameter β. In the case of a long focal length or small beam sizes giving a small β value, additional beam expanders are needed to achieve a satisfying irradiance pattern at the focus. Second, without considering the phase, the irradiance patterns beyond the focal plane are not controlled. We propose a different approach with two plano-aspheric lenses that allow control of both irradiance and phase at focus. The design method comprises an extended ray mapping procedure combined with backward wave propagation from focus. With this design approach, the shaping quality is guaranteed without the possible need for extra beam expanders, offering the potential for a more compact system with fewer elements. Through the additional phase control, the depth of focus is enlarged to a large extent and the designed system becomes more tolerant.

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Section: Introductionmentioning

confidence: 99%

“…There are different methods available to calculate the phase of the phase element, including the geometrical optics-based method, 4 the stationary phase method, 5 the iterative method, 6 and the optimization-based method. 7 All these methods can control only the irradiance but not the phase at the focal plane.…”

Section: Introductionmentioning

confidence: 99%

Enhanced performance of refractive laser beam shapers through additional phase control at focus

Meuret

Vervaeke

et al. 2016

Opt. Eng

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“…The IC problem can also be viewed as a geometrical optics version of the beam shaping problem considered by L. Romero and F. Dickey [21,22]. In fact, in a different form, a local version of Eq.…”

Section: Introductionmentioning

confidence: 99%

“…In fact, in a different form, a local version of Eq. (1) was derived in [21] and the authors' treatment of the beam shaping problem is based on solvability of that equation. L. Romero and F. Dickey gave a complete treatment of their equation in the case when the data and solutions permit separation of variables.…”

Section: Introductionmentioning

confidence: 99%

Supporting quadric method in optical design of freeform lenses for illumination control of a collimated light

Oliker

Rubinstein

Wolansky

2015

Advances in Applied Mathematics

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“…9 Among these techniques, refractive laser beam shapers are commonly used due to their high optical efficiency and simple structure. 10 Four general configurations of refractive beam shapers are given in Fig. 1.…”

Section: Introductionmentioning

confidence: 99%

Comprehensive numerical design approach for refractive laser beam shapers to generate annular irradiance profiles

Meuret

Duerr

et al. 2014

Opt. Eng

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Abstract. A refractive laser beam shaper typically consists of either two plano-aspheric lenses or one thick lens with two aspherical surfaces. Ray mapping is a general optical design technique for irradiance reshaping based on geometric optics. Although ray mapping, in principle, allows generating any rotational-symmetric irradiance profile, in the literature this technique is mainly used to transform a Gaussian irradiance profile to a uniform rotational-symmetric profile. For more complex profiles, especially with low intensity in the inner region (such as annular profiles), a high sampling rate is required to ensure an accurate calculation of the surfaces. In practice, the high sampling rate increases the numerical effort to calculate the aspherical surfaces and the simulation time to verify the design considerably. In this work, we evaluate different sampling approaches and surface construction methods. This allows us to propose and demonstrate a comprehensive numerical approach to efficiently design refractive laser beam shapers to generate rotational-symmetric collimated beams with annular irradiance profiles. Ray tracing analysis for several annular irradiance profiles demonstrates the excellent performance of the designed lenses and the versatility of our design procedure. © The Authors. Published by SPIE under a Creative Commons Attribution 3.0 Unported License. Distribution or reproduction of this work in whole or in part requires full attribution of the original publication, including its DOI.

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Lossless laser beam shaping

Cited by 128 publications

References 5 publications

Enhanced performance of refractive laser beam shapers through additional phase control at focus

Enhanced performance of refractive laser beam shapers through additional phase control at focus

Supporting quadric method in optical design of freeform lenses for illumination control of a collimated light

Comprehensive numerical design approach for refractive laser beam shapers to generate annular irradiance profiles

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