Abstract

This study proposes a newly developed optimization method for an aspherical lens system employed in a refractive laser beam shaping system, which performs transformations on laser spots such that they are transformed into flat-tops of any size. In this paper, a genetic algorithm (GA) with multipoint search is proposed as the optimization method, together with macro language in optical simulation software, in order to search for ideal and optimized parameters. In comparison to a traditional two-dimensional (2D) computational method, using the one-dimensional (1D) computation for laser beam shaping can search for the optimal solution approximately twice as fast (after experiments). The optimal results show that when the laser spot shrinks from 3 mm to 1.07 mm, 88% uniformity is achieved, and when the laser spot increases from 3 mm to 5.273 mm, 90% uniformity is achieved. The distances between the lenses for both systems described above are even smaller than the thickness for the first lens, enabling us to conclude that our design objectives of extra light and slimness in the system are achieved.

© 2015 Optical Society of America

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References

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    [Crossref]
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    [Crossref]
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2014 (1)

2010 (1)

J. H. Sun, Y. C. Fang, B. R. Hsueh, and W.-C. Lai, “Optical design and multi-objective optimization for U-type 2X zoom projection optics,” Opt. Laser Technol. 48(4), 411–420 (2010).
[Crossref]

2008 (3)

2007 (1)

2006 (1)

2003 (1)

2000 (1)

1992 (1)

1981 (1)

1965 (1)

Chou, J.-H.

Y. C. Fang, T. K. Liu, B. W. Wu, J.-H. Chou, and J. MacDonald, “Chromatic aberration elimination for digital rear projection television L-type lens by genetic algorithms,” Opt. Laser Technol. 46(5), 363–372 (2008).
[Crossref]

Fang, Y. C.

Y. C. Fang, C. T. Yen, and J. H. Hsu, “Study of Optical Design of Blu-Ray Pickup Head System with a Liquid Crystal Element,” Appl. Opt. 53(29), H153–H159 (2014).
[Crossref] [PubMed]

J. H. Sun, Y. C. Fang, B. R. Hsueh, and W.-C. Lai, “Optical design and multi-objective optimization for U-type 2X zoom projection optics,” Opt. Laser Technol. 48(4), 411–420 (2010).
[Crossref]

Y. C. Fang, T. K. Liu, B. W. Wu, J.-H. Chou, and J. MacDonald, “Chromatic aberration elimination for digital rear projection television L-type lens by genetic algorithms,” Opt. Laser Technol. 46(5), 363–372 (2008).
[Crossref]

Frieden, B. R.

Hoffnagle, J. A.

Hsu, J. H.

Hsueh, B. R.

J. H. Sun, Y. C. Fang, B. R. Hsueh, and W.-C. Lai, “Optical design and multi-objective optimization for U-type 2X zoom projection optics,” Opt. Laser Technol. 48(4), 411–420 (2010).
[Crossref]

Jefferson, C. M.

Kirkici, H.

Lai, W.-C.

J. H. Sun, Y. C. Fang, B. R. Hsueh, and W.-C. Lai, “Optical design and multi-objective optimization for U-type 2X zoom projection optics,” Opt. Laser Technol. 48(4), 411–420 (2010).
[Crossref]

Liu, C.

Liu, T. K.

Y. C. Fang, T. K. Liu, B. W. Wu, J.-H. Chou, and J. MacDonald, “Chromatic aberration elimination for digital rear projection television L-type lens by genetic algorithms,” Opt. Laser Technol. 46(5), 363–372 (2008).
[Crossref]

MacDonald, J.

Y. C. Fang, T. K. Liu, B. W. Wu, J.-H. Chou, and J. MacDonald, “Chromatic aberration elimination for digital rear projection television L-type lens by genetic algorithms,” Opt. Laser Technol. 46(5), 363–372 (2008).
[Crossref]

Malyak, P. H.

Neil, G.

Oliker, V.

Scott, P. W.

Serkan, M.

Shealy, D. L.

Shinn, M.

Southwell, W. H.

Sun, J. H.

J. H. Sun, Y. C. Fang, B. R. Hsueh, and W.-C. Lai, “Optical design and multi-objective optimization for U-type 2X zoom projection optics,” Opt. Laser Technol. 48(4), 411–420 (2010).
[Crossref]

Wu, B. W.

Y. C. Fang, T. K. Liu, B. W. Wu, J.-H. Chou, and J. MacDonald, “Chromatic aberration elimination for digital rear projection television L-type lens by genetic algorithms,” Opt. Laser Technol. 46(5), 363–372 (2008).
[Crossref]

Yen, C. T.

Zhang, S.

Appl. Opt. (7)

J. Opt. Soc. Am. A (1)

Opt. Express (2)

Opt. Laser Technol. (2)

Y. C. Fang, T. K. Liu, B. W. Wu, J.-H. Chou, and J. MacDonald, “Chromatic aberration elimination for digital rear projection television L-type lens by genetic algorithms,” Opt. Laser Technol. 46(5), 363–372 (2008).
[Crossref]

J. H. Sun, Y. C. Fang, B. R. Hsueh, and W.-C. Lai, “Optical design and multi-objective optimization for U-type 2X zoom projection optics,” Opt. Laser Technol. 48(4), 411–420 (2010).
[Crossref]

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Figures (9)

Fig. 1
Fig. 1 GA process flow.
Fig. 2
Fig. 2 Simulated calculations.
Fig. 3
Fig. 3 Initial simulation of laser source (a) Tracing diagram for the laser beams (b) Laser spot irradiation.
Fig. 4
Fig. 4 Simulation by 2D calculation (a) Trace diagram for the laser beams (b) Laser spot irradiation.
Fig. 5
Fig. 5 Simulation by 1D calculation (a) Trace diagram for the laser beams (b)Laser spot irradiation.
Fig. 6
Fig. 6 Comparison between 2D and 1D simulated results.
Fig. 7
Fig. 7 Initial simulation of laser source with a larger divergence angle (a) Tracing diagram for the laser beams (b) Laser spot irradiation.
Fig. 8
Fig. 8 Optimization for beam expander (a) Tracing diagram for the laser beams (b) Laser spot irradiation.
Fig. 9
Fig. 9 Optimization for narrower beam (a) Tracing diagram for the laser beams (b) Laser spot irradiation.

Tables (6)

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Table 1 Laser light source specifications.

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Table 2 Detection surface data of 2D calculation.

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Table 3 Detection surface data of 1D calculation.

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Table 4 The specifications of laser source with a larger divergence angle.

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Table 5 Detection surface data by optimization of the beam expander.

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Table 6 Detection surface data by optimization of narrower beam.

Equations (5)

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M 1 = exp { [ i = 1 M e s h ( | r 1 r T | + | r 2 r T | ) ] × Q } ,
M 2 = exp { 1 N [ i = 1 N ( 1 cos θ i ) ] } ,
f i t ( i ) = 1 M 1 × M 2 ,
P M = i = 1 M f i t ( i ) / i = 1 P o p _ s i z e f i t ( i ) for M = 1 , 2 , , P o p _ s i z e ,
c i = a i x a + b i x ( 1 α ) .

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