Phase front retrieval and correction of Bessel beams

Miao, Bo; Feder, Linus; Shrock, J. E.; Milchberg, H. M.

doi:10.1364/oe.454796

Cited by 9 publications

(5 citation statements)

References 36 publications

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“…23,24 In context, with OAM beams, the Zernike formalism has been used for phase retrieval and for analyzing the influence of turbulences on multimodal vortex fields. 35,36 The mathematical formalisms for the polar Fourier transformation and for Zernike polynomials are closely related. Zernike polynomials also use polar coordinates and are sorted by discrete indices (m, n):…”

Section: Vortex Fields and Zernike Polynomialsmentioning

confidence: 99%

Comprehensive Fourier-based description of complex optical vortex fields

Jahns,

Spiller

2024

Complex Light and Optical Forces XVIII

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The complexity of multiple vortex fields requires an adequate mathematical foundation. We present a modal theory based on Fourier mathematics using cylindrical coordinates. The analysis is analogous to well-known 2D Fourier optics formalism using Cartesian coordinates. The theory is comprehensive in the sense that it cannot only be used to describe and analyze arbitrary vortex fields, but it may also be used for their synthesis. Here, after discussing the basic formalism, we consider various examples of vortex fields, as well as special topics such as the algorithmic design of vortex fields by using computer-generated diffractive optics, self-imaging, and nano-vortices.

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Section: Vortex Fields and Zernike Polynomialsmentioning

confidence: 99%

Comprehensive Fourier-based description of complex optical vortex fields

Jahns,

Spiller

2024

Complex Light and Optical Forces XVIII

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“…Another important class of algorithms aims at reconstructing the field through an expansion with basis functions, e.g. the Nijboer-Zernike basis [25][26][27][28]. The algorithms in [29,30] use an expansion in Hermite-Gauss (HG) modes to reconstruct the HG modal content of a signal, under some assumptions (e.g.…”

Section: Introductionmentioning

confidence: 99%

“…Whereas the original GSA [20] and e.g. the algorithm in [27] are limited to fluence measurements in only two planes, 3D GSA variants in multi-plane propagation problems have been demonstrated [24,31,32]. The GSA-MD can be used to reconstruct the electric field without any restriction on the number of planes.…”

Section: Introductionmentioning

confidence: 99%

Fast laser field reconstruction method based on a Gerchberg–Saxton algorithm with mode decomposition

Moulanier,

Dickson,

Massimo

et al. 2023

J. Opt. Soc. Am. B

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Knowledge of the electric field of femtosecond, high intensity laser pulses is of paramount importance to study the interaction of this class of lasers with matter. A hybrid method to reconstruct the laser field from fluence measurements in the transverse plane at multiple positions along the propagation axis is presented, combining a Hermite–Gauss mode decomposition (MD) and elements of the Gerchberg–Saxton algorithm (GSA). The proposed GSA-MD takes into account the pointing instabilities of high intensity laser systems by tuning the centers of the HG modes. Furthermore, it quickly builds a field description by progressively increasing the number of modes and thus the accuracy of the field reconstruction. The results of field reconstruction using the GSA-MD are shown to be in excellent agreement with experimental measurements from two different high peak power laser facilities.

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“…Based on the above characteristics, high-order Bessel beams have been widely used in micronanomanufacturing [23] , biological imaging [24] , optical tweezers [25] , optical communication [26,27] , and other fields. However, the aberrations in the setup significantly affect the application of high-order Bessel beams, since their patterns are extremely sensitive to aberrations [28] .…”

Section: Introductionmentioning

confidence: 99%

Two-photon polymerization of femtosecond high-order Bessel beams with aberration correction

et al. 2023

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In the femtosecond two-photon polymerization (2PP) experimental system, optical aberrations degrade the fabrication quality. To solve this issue, a multichannel interferometric wavefront sensing technique is adopted in the adaptive laser processing system with a single phase-only spatial light modulator. 2PP fabrications using corrected high-order Bessel beams with the above solution have been conducted, and high-quality microstructure arrays of microtubes with 20 μm diameter have been rapidly manufactured. The effectiveness of the proposed scheme is demonstrated by comparing the beam intensity distributions and 2PP results before and after aberration corrections.

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Phase front retrieval and correction of Bessel beams

Abstract: Bessel beams generated with non-ideal axicons are affected by aberrations. We introduce a method to retrieve the complex amplitude of a Bessel beam from intensity measurements alone, and then use this information to correct the wavefront and intensity profile using a deformable mirror.

Cited by 9 publications

References 36 publications

Comprehensive Fourier-based description of complex optical vortex fields

Comprehensive Fourier-based description of complex optical vortex fields

Fast laser field reconstruction method based on a Gerchberg–Saxton algorithm with mode decomposition

Two-photon polymerization of femtosecond high-order Bessel beams with aberration correction

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