Review of iterative Fourier-transform algorithms for beam shaping applications

Kettunen, Ville

doi:10.1117/1.1804543

Cited by 129 publications

(16 citation statements)

References 25 publications

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“…The combination of frequencies in this implementation takes the form of a linear superposition of available frequencies where various combinations can be used to approximate the same field. To converge on the best superposition geared toward reduction of crosstalk and optimized output uniformity, we im- plemented the output-output algorithm kernel variation of the standard Gerchberg-Saxton iterative Fourier transform algorithm (IFTA) [13], [14]. This algorithm iterates through discrete Fourier transform calculations while adjusting the previous solution in an attempt to decrease the crosstalk error function.…”

Section: Hologram Designmentioning

confidence: 99%

Design and Preliminary Implementation of an N $\times$ N Diffractive All-Optical Fiber Optic Switch

Lynn

Blanche

Miles

et al. 2013

J. Lightwave Technol.

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We have demonstrated a diffraction-based nonblocking, scalable N × N optical switch employing a digital micromirror display (DMD) with 12 μs switching speed, performing 100 times faster than the currently available technology. The distributed nature of diffraction makes this switch more robust than one-to-one reflective systems where a single mirror failure incapacitates an entire connection. We thereby address a key bottleneck in data centers and optical aggregation networks by decreasing circuit-switching speed and allowing for facile port count scalability.Index Terms-Digital micromirror device (DMD), free-space optical switch, optical crossconnect, optical switch, reconfigurable hologram, spatial light modulator (SLM), storage area networks (SANs).

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Section: Hologram Designmentioning

confidence: 99%

Design and Preliminary Implementation of an N $\times$ N Diffractive All-Optical Fiber Optic Switch

Lynn

Blanche

Miles

et al. 2013

J. Lightwave Technol.

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“…[9][10][11][12][13][14][15][16] For example, an analytical solution has been obtained by Dickey et al to convert a Gaussian beam into a circular or rectangular flattop beam. [9,10] A variety of approaches, mostly based on the Gerchberg-Saxton algorithm and its derivatives, [11][12][13][17][18][19] have been developed to calculate the desired phase profiles numerically. The straightforward way to realize the phase profiles is through optical path differences.…”

Section: Doi: 101002/adom201800961mentioning

confidence: 99%

Liquid Crystal Pancharatnam–Berry Micro‐Optical Elements for Laser Beam Shaping

Jiang

Feng

et al. 2018

Advanced Optical Materials

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Shaping the intensity profile of a laser beam is desired by various industrial applications. In this paper, a new approach is presented to design and fabricate liquid crystal (LC) micro‐optical elements (MOEs) with engineered Pancharatnam–Berry (PB) phases for beam shaping. By generalizing the Snell's law for spatially variant PB phases, molecular orientation patterns are designed for the liquid crystal MOEs to shape a Gaussian laser beam into flattop intensity profiles with circular and square cross‐sections, with the β parameter varied from 4 to 42. It is demonstrated that such liquid crystal beam shaping MOEs can be fabricated with high throughput and high resolution by using a photopatterning technique based on plasmonic metamasks and that they produce excellent beam quality, no zero‐order light leakage with a beam size from 10 to 600 µm. As the plasmonic metamasks allow for encoding arbitrary molecular orientations, i.e., arbitrary geometric phase profiles, the approaches presented here are widely applicable to large‐scale manufacturing of liquid crystal MOEs for any beam shapes.

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“…One of the most potential application of CGHs is the ability of shaping a diffraction pattern at a certain plane in the space. The decade of the 90's was specially productive due to the development of Personal Computers and Liquid Crystal Displays (LCDs) [2]. In the recent years, this application has become an increasing interest motivated, specially, by the display industry and 3D imaging systems, leading to an increment of the number of published works about this topic [3][4][5][6][7][8][9][10].…”

Section: Introductionmentioning

confidence: 99%

Reducing the variability in random-phase initialized Gerchberg-Saxton Algorithm

Salgado-Remacha

2016

Optics & Laser Technology

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a b s t r a c tGerchberg-Saxton Algorithm is a common tool for designing Computer Generated Holograms. There exist some standard functions for evaluating the quality of the final results. However, the use of randomized initial guess leads to different results, increasing the variability of the evaluation functions values. This fact is especially detrimental when the computing time is elevated. In this work, a new tool is presented, able to describe the fidelity of the results with a notably reduced variability after multiple attempts of the Gerchberg-Saxton Algorithm. This new tool results very helpful for topical fields such as 3D digital holography.

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Review of iterative Fourier-transform algorithms for beam shaping applications

Cited by 129 publications

References 25 publications

Design and Preliminary Implementation of an N $\times$ N Diffractive All-Optical Fiber Optic Switch

Design and Preliminary Implementation of an N $\times$ N Diffractive All-Optical Fiber Optic Switch

Liquid Crystal Pancharatnam–Berry Micro‐Optical Elements for Laser Beam Shaping

Reducing the variability in random-phase initialized Gerchberg-Saxton Algorithm

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