Abstract

A new technique for geometric transformation of a diffuse linear light source into a two-dimensional symmetric virtual source is proposed and demonstrated. It involves two cylindrical lenses and a single holographic element that is optically recorded with a simple and single step. The results for a specific arrangement that transforms a 40 mm × 0.4 mm source, with diffusive angle of 0.1 rad, into a 1 mm × 1.2 mm nearly symmetric spot are presented. The lack of sharp boundaries in either the beam or the optical elements suppresses any diffraction losses, relaxes alignment tolerances, and improves stability.

© 1999 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. H. Zbinden, J. E. Balmer, “Q-switched Nd:YLF laser end pumped by a diode-laser bar,” Opt. Lett. 15, 1014–1016 (1990).
    [CrossRef] [PubMed]
  2. Th. Graf, J. E. Balmer, “High-power Nd:YLF laser end pumped by a diode-laser bar,” Opt. Lett. 18, 1317–1319 (1993).
    [CrossRef] [PubMed]
  3. J. R. Leger, W. C. Goltsos, “Geometric transformation of linear diode-laser arrays for longitudinal pumping of solid state lasers,” IEEE J. Quantum Electron. 28, 1088–1100 (1992).
    [CrossRef]
  4. N. Davidson, A. A. Friesem, “Concentration and collimation of diffuse linear light source,” Appl. Phys. Lett. 62, 334–336 (1993).
    [CrossRef]
  5. S. Yamaguchi, T. Kobayashi, Y. Saito, K. Chiba, “Collimation of emissions from a high-power multistripe laser-diode bar with multiprism array coupling and focusing to a small spot,” Opt. Lett. 20, 898–900 (1995).
    [CrossRef] [PubMed]
  6. B. Ehlers, K. Du, M. Baumann, H.-G. Treusch, P. Loosen, R. Poprawe, “Beam shaping and fiber coupling of high-power diode laser arrays,” in Lasers in Material Processing, L. H. Beckmann, ed., Proc. SPIE3097, 639–644 (1997).
    [CrossRef]
  7. M. Baumann, B. Ehlers, M. Quade, K. Du, H.-G. Treusch, P. Loosen, R. Poprawe, “Compact fiber-coupled high-power diode-laser unit,” in Lasers in Material Processing, Leo H. Beckmann, ed., Proc. SPIE3097, 712–716 (1997).
    [CrossRef]
  8. W. A. Clarkson, D. C. Hanna, “Two-mirror beam-shaping technique for high-power diode bars,” Opt. Lett. 21, 375–377 (1996).
    [CrossRef] [PubMed]
  9. N. Davidson, A. A. Friesem, “One-dimensional concentration of diffuse light,” Opt. Commun. 99, 162–166 (1993).
    [CrossRef]
  10. W. T. Welford, R. Wilson, The Optical of Nonimaging Concentrators (Academic, New York, 1978), Chap. 1.

1996 (1)

1995 (1)

1993 (3)

N. Davidson, A. A. Friesem, “One-dimensional concentration of diffuse light,” Opt. Commun. 99, 162–166 (1993).
[CrossRef]

Th. Graf, J. E. Balmer, “High-power Nd:YLF laser end pumped by a diode-laser bar,” Opt. Lett. 18, 1317–1319 (1993).
[CrossRef] [PubMed]

N. Davidson, A. A. Friesem, “Concentration and collimation of diffuse linear light source,” Appl. Phys. Lett. 62, 334–336 (1993).
[CrossRef]

1992 (1)

J. R. Leger, W. C. Goltsos, “Geometric transformation of linear diode-laser arrays for longitudinal pumping of solid state lasers,” IEEE J. Quantum Electron. 28, 1088–1100 (1992).
[CrossRef]

1990 (1)

Balmer, J. E.

Baumann, M.

B. Ehlers, K. Du, M. Baumann, H.-G. Treusch, P. Loosen, R. Poprawe, “Beam shaping and fiber coupling of high-power diode laser arrays,” in Lasers in Material Processing, L. H. Beckmann, ed., Proc. SPIE3097, 639–644 (1997).
[CrossRef]

M. Baumann, B. Ehlers, M. Quade, K. Du, H.-G. Treusch, P. Loosen, R. Poprawe, “Compact fiber-coupled high-power diode-laser unit,” in Lasers in Material Processing, Leo H. Beckmann, ed., Proc. SPIE3097, 712–716 (1997).
[CrossRef]

Chiba, K.

Clarkson, W. A.

Davidson, N.

N. Davidson, A. A. Friesem, “One-dimensional concentration of diffuse light,” Opt. Commun. 99, 162–166 (1993).
[CrossRef]

N. Davidson, A. A. Friesem, “Concentration and collimation of diffuse linear light source,” Appl. Phys. Lett. 62, 334–336 (1993).
[CrossRef]

Du, K.

B. Ehlers, K. Du, M. Baumann, H.-G. Treusch, P. Loosen, R. Poprawe, “Beam shaping and fiber coupling of high-power diode laser arrays,” in Lasers in Material Processing, L. H. Beckmann, ed., Proc. SPIE3097, 639–644 (1997).
[CrossRef]

M. Baumann, B. Ehlers, M. Quade, K. Du, H.-G. Treusch, P. Loosen, R. Poprawe, “Compact fiber-coupled high-power diode-laser unit,” in Lasers in Material Processing, Leo H. Beckmann, ed., Proc. SPIE3097, 712–716 (1997).
[CrossRef]

Ehlers, B.

M. Baumann, B. Ehlers, M. Quade, K. Du, H.-G. Treusch, P. Loosen, R. Poprawe, “Compact fiber-coupled high-power diode-laser unit,” in Lasers in Material Processing, Leo H. Beckmann, ed., Proc. SPIE3097, 712–716 (1997).
[CrossRef]

B. Ehlers, K. Du, M. Baumann, H.-G. Treusch, P. Loosen, R. Poprawe, “Beam shaping and fiber coupling of high-power diode laser arrays,” in Lasers in Material Processing, L. H. Beckmann, ed., Proc. SPIE3097, 639–644 (1997).
[CrossRef]

Friesem, A. A.

N. Davidson, A. A. Friesem, “Concentration and collimation of diffuse linear light source,” Appl. Phys. Lett. 62, 334–336 (1993).
[CrossRef]

N. Davidson, A. A. Friesem, “One-dimensional concentration of diffuse light,” Opt. Commun. 99, 162–166 (1993).
[CrossRef]

Goltsos, W. C.

J. R. Leger, W. C. Goltsos, “Geometric transformation of linear diode-laser arrays for longitudinal pumping of solid state lasers,” IEEE J. Quantum Electron. 28, 1088–1100 (1992).
[CrossRef]

Graf, Th.

Hanna, D. C.

Kobayashi, T.

Leger, J. R.

J. R. Leger, W. C. Goltsos, “Geometric transformation of linear diode-laser arrays for longitudinal pumping of solid state lasers,” IEEE J. Quantum Electron. 28, 1088–1100 (1992).
[CrossRef]

Loosen, P.

B. Ehlers, K. Du, M. Baumann, H.-G. Treusch, P. Loosen, R. Poprawe, “Beam shaping and fiber coupling of high-power diode laser arrays,” in Lasers in Material Processing, L. H. Beckmann, ed., Proc. SPIE3097, 639–644 (1997).
[CrossRef]

M. Baumann, B. Ehlers, M. Quade, K. Du, H.-G. Treusch, P. Loosen, R. Poprawe, “Compact fiber-coupled high-power diode-laser unit,” in Lasers in Material Processing, Leo H. Beckmann, ed., Proc. SPIE3097, 712–716 (1997).
[CrossRef]

Poprawe, R.

M. Baumann, B. Ehlers, M. Quade, K. Du, H.-G. Treusch, P. Loosen, R. Poprawe, “Compact fiber-coupled high-power diode-laser unit,” in Lasers in Material Processing, Leo H. Beckmann, ed., Proc. SPIE3097, 712–716 (1997).
[CrossRef]

B. Ehlers, K. Du, M. Baumann, H.-G. Treusch, P. Loosen, R. Poprawe, “Beam shaping and fiber coupling of high-power diode laser arrays,” in Lasers in Material Processing, L. H. Beckmann, ed., Proc. SPIE3097, 639–644 (1997).
[CrossRef]

Quade, M.

M. Baumann, B. Ehlers, M. Quade, K. Du, H.-G. Treusch, P. Loosen, R. Poprawe, “Compact fiber-coupled high-power diode-laser unit,” in Lasers in Material Processing, Leo H. Beckmann, ed., Proc. SPIE3097, 712–716 (1997).
[CrossRef]

Saito, Y.

Treusch, H.-G.

B. Ehlers, K. Du, M. Baumann, H.-G. Treusch, P. Loosen, R. Poprawe, “Beam shaping and fiber coupling of high-power diode laser arrays,” in Lasers in Material Processing, L. H. Beckmann, ed., Proc. SPIE3097, 639–644 (1997).
[CrossRef]

M. Baumann, B. Ehlers, M. Quade, K. Du, H.-G. Treusch, P. Loosen, R. Poprawe, “Compact fiber-coupled high-power diode-laser unit,” in Lasers in Material Processing, Leo H. Beckmann, ed., Proc. SPIE3097, 712–716 (1997).
[CrossRef]

Welford, W. T.

W. T. Welford, R. Wilson, The Optical of Nonimaging Concentrators (Academic, New York, 1978), Chap. 1.

Wilson, R.

W. T. Welford, R. Wilson, The Optical of Nonimaging Concentrators (Academic, New York, 1978), Chap. 1.

Yamaguchi, S.

Zbinden, H.

Appl. Phys. Lett. (1)

N. Davidson, A. A. Friesem, “Concentration and collimation of diffuse linear light source,” Appl. Phys. Lett. 62, 334–336 (1993).
[CrossRef]

IEEE J. Quantum Electron. (1)

J. R. Leger, W. C. Goltsos, “Geometric transformation of linear diode-laser arrays for longitudinal pumping of solid state lasers,” IEEE J. Quantum Electron. 28, 1088–1100 (1992).
[CrossRef]

Opt. Commun. (1)

N. Davidson, A. A. Friesem, “One-dimensional concentration of diffuse light,” Opt. Commun. 99, 162–166 (1993).
[CrossRef]

Opt. Lett. (4)

Other (3)

B. Ehlers, K. Du, M. Baumann, H.-G. Treusch, P. Loosen, R. Poprawe, “Beam shaping and fiber coupling of high-power diode laser arrays,” in Lasers in Material Processing, L. H. Beckmann, ed., Proc. SPIE3097, 639–644 (1997).
[CrossRef]

M. Baumann, B. Ehlers, M. Quade, K. Du, H.-G. Treusch, P. Loosen, R. Poprawe, “Compact fiber-coupled high-power diode-laser unit,” in Lasers in Material Processing, Leo H. Beckmann, ed., Proc. SPIE3097, 712–716 (1997).
[CrossRef]

W. T. Welford, R. Wilson, The Optical of Nonimaging Concentrators (Academic, New York, 1978), Chap. 1.

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (4)

Fig. 1
Fig. 1

Experimental optical arrangement for collimating and concentrating diffuse linear light source. L1 is a cylindrical lens with focal distance f 1 = 40 mm. L2 is a cylindrical lens with focal distance f 2 = 200 mm, rotated at 45° around the optical axis. The output is at the plane of the film of the camera, focused with the camera lens L3 with focal distance f 3 = 88 mm. Not shown in the figure are the laser, the expanding telescope, and the rotating diffuser that are all located to the left of the input slit.

Fig. 2
Fig. 2

Illustrations of spatial and angular light distributions at several planes along the optical axis of the optical arrangement of Fig. 1. The width and height of the rectangle represent the dimensions of the beam in the x and the y directions, respectively, and the length of the double arrows represent the diffuse angles in each direction. (a) At the input slit. (b) At distance f 1 after lens L1 (also at the plane of lens L2). (c) At a distance of 2f 2 after lens L2, neglecting the diffusive spread. (d) At distance 2f 2 after lens L2, including diffuse spread. In (c) and (d) the 45° rotated cylindrical lens L2 is shown. The thick arrows represent the transverse angle that L2 gives the beam at two particular zones and in (d) the rectangles show the diffusive spread of these points. Also shown in (c) and (d) is the light distribution of (b) in dotted lines.

Fig. 3
Fig. 3

Ray-tracing calculations for the optical arrangement of Fig. 1. (a) Spatial distribution of rays hitting the hologram plane. (b) Angular distribution of the rays that hit the center (x″ = y″ = 0) of the hologram.

Fig. 4
Fig. 4

Experimental light intensity distribution at the output of the optical arrangement of Fig. 1. (a) Contour plot and (b) horizontal (solid curve) and vertical (dashed curve) cross sections.

Equations (4)

Equations on this page are rendered with MathJax. Learn more.

dx=f1 sin α,  sin αx=dx/f1,
sin αx=-x+y/2f2,  sin αy"=-x+y/2f2.
x=x+2f2 sin αx"=-y, y=y+2f2 sin αy"=-x.
dx"dy"40 mm,  sin αx"sin αy"0.01.

Metrics