Abstract

The elliptical beam of a laser diode is collected by a circular aperture decentered with respect to the beam. The fractional optical power collected is calculated and measured as a function of the decentered distance, beam size, and aperture size. The calculation results agree well with the measurement results. An application example of the results is described.

© 1997 Optical Society of America

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References

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  1. See, for example, the Melles Griot product catalog (Melles Griot, Irvine, Calif., 1996).
  2. N. R. Barbeau, “Power deposited by a Gaussian beam on a decentered circular aperture,” Appl. Opt. 34, 6443–6445 (1995).
    [CrossRef] [PubMed]
  3. Y. Li, J. Katz, “Encircled energy of laser-diode beams,” Appl. Opt. 30, 4283–4284 (1991).
    [CrossRef] [PubMed]

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1991 (1)

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Figures (4)

Fig. 1
Fig. 1

Elliptical beam with major radius w x and minor radius w y at the center of a Cartesian coordinate. A circular aperture with radius a is at (x 0, y 0). The decentered distance of the aperture with respect to the beam is d = (x 0 2 + y 0 2) 1/2.

Fig. 2
Fig. 2

Calculated fractional power of a laser diode elliptical beam collected by a decentered circular aperture. The aperture radius is a = 0.5 mm, 1.0 mm, and 2.0 mm. The major and minor radius of the elliptical beam are, respectively, (A) w x = 1.0 mm and w y = 0.5 mm; (B) w x = 1.5 mm and w y = 0.5 mm; (C) w x = 2.0 mm and w y = 0.5 mm; (D) w x = 1.5 mm and w y = 1.0 mm; (E) w x = 2.0 mm and w y = 1.0 mm; (F) w x = 2.0 mm and w y = 1.5 mm. The horizontal axes of the figures are the decentered distance d = (x 0 2 + y 0 2) 1/2 with a unit of millimeter. The vertical axes are the fractional power of the beam collected by the aperture. The dashed, dotted, and solid curves are obtained by increased d with x 0 = 0, y 0 = 0, and x 0 = y 0, respectively.

Fig. 3
Fig. 3

Intensity profile of a laser diode collimated elliptical beam scanned at a distance of 500 mm. The major and minor diameters of the beam are 5.19 and 1.48 mm, respectively.

Fig. 4
Fig. 4

Fractional power of a laser diode elliptical beam collected by a decentered circular aperture as a function of the decentered distance d. The beam intensity profile is shown in Fig. 3. The aperture radius is a = 1 mm and 2 mm. The symbols represent the measurement results and the curves represent the corresponding calculation results.

Equations (3)

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Ix, y=I0 exp-2 x2wx2-2 y2wy2,
Pt=-- Ix, ydxdy=πwxwyI02.
PPt=2πwxwyx=x0-ax=x0+ay=y0-a2-x-x02y=y0+a2-x-x02×exp-2 x2wx2-2 y2wy2dxdy,

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