Abstract

An astigmatic and elliptically diverging laser beam generated by a gain-guided laser diode can be converted into a collimated and circular beam with a single specially designed lens. The designed lens also corrects for the astigmatism present in the laser diode. The input surface of the lens has a different concave and convex aspherical profile in the transverse and the longitudinal direction, respectively, for astigmatism correction. The output surface possesses a convex aspherical and a straight profile in the transverse and the longitudinal direction, respectively, for collimation and circularization of the final output laser beam.

© 2000 Optical Society of America

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References

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  1. S. Sinzinger, K. H. Brenner, J. Moisel, T. Spick, M. Testorf, “Astigmatic gradient-index elements for laser diode collimation and beam shaping,” Appl. Opt. 34, 6626–6632 (1995).
    [CrossRef] [PubMed]
  2. J. J. Snyder, P. Reichert, T. M. Baer, “Fast diffraction-limited cylindrical microlenses,” Appl. Opt. 30, 2743–2747 (1991).
    [CrossRef] [PubMed]
  3. L. Tingdi, “Principle and design of laser collimator,” Yinyong Jiguang 12, 213–216 (1992).
  4. C. Haupt, E. Jager, A. Rothe, M. Daffner, H. J. Tiziani, “Collimating laser diodes with hybrid optics,” in Sixteenth Congress of the International Commission for Optics: Optics as a Key to High Technology, G. Akos, T. Lippenyi, G. Lupkovics, A. Podmaniczky, eds., Proc. SPIE1983, 658–659 (1993).
  5. J. R. Leger, M. L. Scott, P. Bundman, M. P. Griswold, “Astigmatic wavefront correction of a gain-guided laser diode array using anamorphic diffractive microlenses,” in Computer-Generated Holography II, S. H. Lee, ed., Proc. SPIE884, 82 (1988).
    [CrossRef]
  6. M. Kondo, “Focusing of elliptical Gaussian beams for optical head,” Jpn. J. Appl. Phys. 31, 2452–2458 (1992).
    [CrossRef]
  7. H. Sun, “Power collection of a laser diode elliptical beam by a decentered circular aperture,” Appl. Opt. 36, 4102–4104 (1997).
    [CrossRef] [PubMed]

1997

1995

1992

L. Tingdi, “Principle and design of laser collimator,” Yinyong Jiguang 12, 213–216 (1992).

M. Kondo, “Focusing of elliptical Gaussian beams for optical head,” Jpn. J. Appl. Phys. 31, 2452–2458 (1992).
[CrossRef]

1991

Baer, T. M.

Brenner, K. H.

Bundman, P.

J. R. Leger, M. L. Scott, P. Bundman, M. P. Griswold, “Astigmatic wavefront correction of a gain-guided laser diode array using anamorphic diffractive microlenses,” in Computer-Generated Holography II, S. H. Lee, ed., Proc. SPIE884, 82 (1988).
[CrossRef]

Daffner, M.

C. Haupt, E. Jager, A. Rothe, M. Daffner, H. J. Tiziani, “Collimating laser diodes with hybrid optics,” in Sixteenth Congress of the International Commission for Optics: Optics as a Key to High Technology, G. Akos, T. Lippenyi, G. Lupkovics, A. Podmaniczky, eds., Proc. SPIE1983, 658–659 (1993).

Griswold, M. P.

J. R. Leger, M. L. Scott, P. Bundman, M. P. Griswold, “Astigmatic wavefront correction of a gain-guided laser diode array using anamorphic diffractive microlenses,” in Computer-Generated Holography II, S. H. Lee, ed., Proc. SPIE884, 82 (1988).
[CrossRef]

Haupt, C.

C. Haupt, E. Jager, A. Rothe, M. Daffner, H. J. Tiziani, “Collimating laser diodes with hybrid optics,” in Sixteenth Congress of the International Commission for Optics: Optics as a Key to High Technology, G. Akos, T. Lippenyi, G. Lupkovics, A. Podmaniczky, eds., Proc. SPIE1983, 658–659 (1993).

Jager, E.

C. Haupt, E. Jager, A. Rothe, M. Daffner, H. J. Tiziani, “Collimating laser diodes with hybrid optics,” in Sixteenth Congress of the International Commission for Optics: Optics as a Key to High Technology, G. Akos, T. Lippenyi, G. Lupkovics, A. Podmaniczky, eds., Proc. SPIE1983, 658–659 (1993).

Kondo, M.

M. Kondo, “Focusing of elliptical Gaussian beams for optical head,” Jpn. J. Appl. Phys. 31, 2452–2458 (1992).
[CrossRef]

Leger, J. R.

J. R. Leger, M. L. Scott, P. Bundman, M. P. Griswold, “Astigmatic wavefront correction of a gain-guided laser diode array using anamorphic diffractive microlenses,” in Computer-Generated Holography II, S. H. Lee, ed., Proc. SPIE884, 82 (1988).
[CrossRef]

Moisel, J.

Reichert, P.

Rothe, A.

C. Haupt, E. Jager, A. Rothe, M. Daffner, H. J. Tiziani, “Collimating laser diodes with hybrid optics,” in Sixteenth Congress of the International Commission for Optics: Optics as a Key to High Technology, G. Akos, T. Lippenyi, G. Lupkovics, A. Podmaniczky, eds., Proc. SPIE1983, 658–659 (1993).

Scott, M. L.

J. R. Leger, M. L. Scott, P. Bundman, M. P. Griswold, “Astigmatic wavefront correction of a gain-guided laser diode array using anamorphic diffractive microlenses,” in Computer-Generated Holography II, S. H. Lee, ed., Proc. SPIE884, 82 (1988).
[CrossRef]

Sinzinger, S.

Snyder, J. J.

Spick, T.

Sun, H.

Testorf, M.

Tingdi, L.

L. Tingdi, “Principle and design of laser collimator,” Yinyong Jiguang 12, 213–216 (1992).

Tiziani, H. J.

C. Haupt, E. Jager, A. Rothe, M. Daffner, H. J. Tiziani, “Collimating laser diodes with hybrid optics,” in Sixteenth Congress of the International Commission for Optics: Optics as a Key to High Technology, G. Akos, T. Lippenyi, G. Lupkovics, A. Podmaniczky, eds., Proc. SPIE1983, 658–659 (1993).

Appl. Opt.

Jpn. J. Appl. Phys.

M. Kondo, “Focusing of elliptical Gaussian beams for optical head,” Jpn. J. Appl. Phys. 31, 2452–2458 (1992).
[CrossRef]

Yinyong Jiguang

L. Tingdi, “Principle and design of laser collimator,” Yinyong Jiguang 12, 213–216 (1992).

Other

C. Haupt, E. Jager, A. Rothe, M. Daffner, H. J. Tiziani, “Collimating laser diodes with hybrid optics,” in Sixteenth Congress of the International Commission for Optics: Optics as a Key to High Technology, G. Akos, T. Lippenyi, G. Lupkovics, A. Podmaniczky, eds., Proc. SPIE1983, 658–659 (1993).

J. R. Leger, M. L. Scott, P. Bundman, M. P. Griswold, “Astigmatic wavefront correction of a gain-guided laser diode array using anamorphic diffractive microlenses,” in Computer-Generated Holography II, S. H. Lee, ed., Proc. SPIE884, 82 (1988).
[CrossRef]

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Figures (6)

Fig. 1
Fig. 1

Schematic diagram of an elliptical divergent beam from a gain-guided laser diode.

Fig. 2
Fig. 2

Optical path of the light source through the designed lens with corrected virtual focal point coinciding with near virtual source point.

Fig. 3
Fig. 3

Schematic view of hybrid aspherical lens according to the design.

Fig. 4
Fig. 4

Geometric dimensions for ray-tracing equations for the transverse ray.

Fig. 5
Fig. 5

Geometric dimensions for ray-tracing equations for the longitudinal ray.

Fig. 6
Fig. 6

Relation between rms and astigmatism change.

Equations (8)

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f+nxL=yL2+f+xL21/2,
xL+x02C2-yL2D2=1,
x0=fn+1,C2=f2n+12,D2=n-1f2n+1.
Δf+f-xT2+yT21/2-nf-xT2+yT21/2=Δf+f-nf,
XT+X02A2+YT2B2=1,
X0=nf-tn+1,A2=nf+tn+12,B2=f+t2n-1n+1.
f=R 1-n cos θML1-nsin θML,t=1n-1nR-Δf+yT/tan θMT2yT2+11/2-R-Δf+yT/tan θMTyT+f1-n,
yT=Δf-n2Δf cos θTsin θT1-n2+n2Δf2-f+Δf-fn2sin θT1-n2+Δf-n2Δf cos θT2 sin θT21-n221/2.

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