Design of a gradient-index beam shaping system via a genetic algorithm optimization method

Evans, Neal C.; Shealy, David L.

doi:10.1117/12.405265

Cited by 13 publications

(13 citation statements)

References 22 publications

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“…In these practical design applications, it is not uncommon to deal with multi-objective functions where the goals may be conflicting and a tradeoff must be made to strike a balance. In such cases, global optimization computational methods such as genetic algorithms and particle swarm optimization can be considered [28]. For example, in filter design, the optimization function is multi-objective and is a weighted sum that balances bandwidth, ripple and rejection ratio.…”

Section: Theoretical Methods To Design Em Media/devicesmentioning

confidence: 99%

“…Recently, the field of engineered EM complexes has received much attention with the constant demand for lighter, cheaper, and faster turnaround technology. Several reports have documented the use of additive manufacturing to fabricate 3D EM devices, including gradient index lenses [25,26] at both microwave [27,28] and optical frequencies [26], and radio frequency lenses that attain resolution beyond the diffraction limit [29,30]. These methods may be utilized to construct 3D EM designs [31,32] that incorporate non-planar geometries and material inhomogeneity [33].…”

Section: Progress History Of Engineered Em Materialsmentioning

confidence: 99%

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Rapid Prototyping across the Spectrum: RF to Optical 3D Electromagnetic Structures

Allen¹,

Allen²,

Wenner³

2015

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Section: Theoretical Methods To Design Em Media/devicesmentioning

confidence: 99%

Section: Progress History Of Engineered Em Materialsmentioning

confidence: 99%

Rapid Prototyping across the Spectrum: RF to Optical 3D Electromagnetic Structures

Allen¹,

Allen²,

Wenner³

2015

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“…The genetic algorithm (GA) has been applied to solve the optimization problems when both discrete and continuous parameters are required to define the system. Evans and Shealy 11,17 have proposed serveral beam shaping merit functions and have used the GA to study two-and three-element GRIN beam shapers. The global optimization method of the commercial software ZEMAX 22 optical design and analysis program includes the GA method along with other methods.…”

Section: Introductionmentioning

confidence: 99%

“…It is important to study ways to convert a input Gaussian beam into a more uniform output beam. There are reflective, 1-4 refractive, [4][5][6][7][8][9][10][11] and diffractive [12][13][14][15][16] methods to shaping laser beam profiles. Geometrical optics has been applied to the design of the laser beam shaping systems.…”

Section: Introductionmentioning

confidence: 99%

“…The techniques have included the differential equations method and the genetic algorithm (GA) optimization method. 11,[17][18][19][20][21] In the optimization method, there is no need to solve the differential equations for the optical element surfaces contours of the beam shapers. Rather, the optimization programs locate system parameters, which characterize the beam shaper and which minimizes the beam shaping merit function that incorporates the conditions of conservation of energy and constant optical path length.…”

Section: Introductionmentioning

confidence: 99%

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Design of GRIN laser beam shaping system

Shealy

Chao

2004

SPIE Proceedings

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Geometrical optics is used for design of gradient-index (GRIN) laser beam shapers with the conditions of conservation of energy and constant optical path length for all rays passing through the system. The exact ray intercepts for a Gaussian to top-hat beam transform at the output plane are the ray trace target values used during the optimization process. After constructing a beam shaping merit function, the commercial software ZEMAX has been used to minimize the merit function for a well known two-element plano-aspheric beam shaper to establish the effectiveness of this new beam shaping merit function. Then, this method is used to design of several GRIN laser beam shapers while using ZEMAX's catalog GRADIUM elements from LightPath glass types. The optical component shape and spacing parameters are also used for optimization variables. Both spherical surfaces and conic surfaces of the different elements of the GRIN laser beam shaper are studied. The ZEMAX software was used for performance analysis of the GRIN beam shapers and is discussed.

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Novel method to design laser beam shaping lenses using PSO techniques

Qin

Pang

2018

Appl. Phys. B

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To design beam shaping lenses converting the light from Gaussian intensity distribution into flat-top profile, a new methodparticle swarm optimization (PSO) algorithm-was employed. The theoretical values of ray intersections at the output plane are precisely calculated by the energy conservation when a Gaussian beam is converted to a flat-top one, and these values are then used as target values in the optimization process. Real values of ray intersections are obtained from the ray tracing. The absolute values of the differences between real and theoretical values are used to construct the merit function of a shaping lens system, which are also used as the fitness function values for the PSO. By the manipulation of minimizing the fitness function, refractive two-element beam shapers and a refractive single-element beam shaper have been designed. The analyses for the design results demonstrated the feasibility and validity of the PSO method in the design of laser beam shaping lenses.

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Design of a gradient-index beam shaping system via a genetic algorithm optimization method

Cited by 13 publications

References 22 publications

Rapid Prototyping across the Spectrum: RF to Optical 3D Electromagnetic Structures

Rapid Prototyping across the Spectrum: RF to Optical 3D Electromagnetic Structures

Design of GRIN laser beam shaping system

Novel method to design laser beam shaping lenses using PSO techniques

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