Abstract

Experiments were performed on a CO2 laser with an annular resonator. The objective of these experiments was to control the polarization in an annular laser and to verify computer code predictions. A Mylar pellicle was placed in the annular leg, and its angular orientation with respect to the optical axis was varied. The pellicle had different transmittances for horizontal and vertical polarizations and also had stress-induced birefringence. At small angles of incidence in the pellicle, the birefringence dominated, and the output had a complicated nature. However, at large angles of incidence, the transmittance difference forced the laser into a well-defined mode for which the near field was horizontally polarized at the top and bottom and the two sides and vertically polarized at intermediate locations. The experimental results were in good agreement with the computer code calculations.

© 1981 Optical Society of America

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References

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  1. J. K. Guha, J. L. Martin, R. A. Mickish, E. E. Pape, Appl. Opt. 20, 3089 (1981).
    [CrossRef] [PubMed]
  2. R. A. Chodzko, S. B. Mason, E. B. Turner, W. W. Plummer, Appl. Opt. 19, 778 (1980).
    [CrossRef] [PubMed]
  3. D. Fink, Appl. Opt. 18, 581 (1979).
    [CrossRef] [PubMed]
  4. M. Born, E. Wolf, Principles of Optics (Pergamon, New York, 1970), p. 26–27.
  5. E. Hecht, A. Zajac, Optics (Addison-Wesley, Reading, Mass., 1974), p. 168.
  6. G. A. Tyler, W. H. Southwell, Opt. Lett. 5, 42 (1980).
    [CrossRef] [PubMed]

1981 (1)

1980 (2)

1979 (1)

Born, M.

M. Born, E. Wolf, Principles of Optics (Pergamon, New York, 1970), p. 26–27.

Chodzko, R. A.

Fink, D.

Guha, J. K.

Hecht, E.

E. Hecht, A. Zajac, Optics (Addison-Wesley, Reading, Mass., 1974), p. 168.

Martin, J. L.

Mason, S. B.

Mickish, R. A.

Pape, E. E.

Plummer, W. W.

Southwell, W. H.

Turner, E. B.

Tyler, G. A.

Wolf, E.

M. Born, E. Wolf, Principles of Optics (Pergamon, New York, 1970), p. 26–27.

Zajac, A.

E. Hecht, A. Zajac, Optics (Addison-Wesley, Reading, Mass., 1974), p. 168.

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Figures (13)

Fig. 1
Fig. 1

Resonator configuration.

Fig. 2
Fig. 2

Pellicle characterization configuration.

Fig. 3
Fig. 3

Coordinates used in making the phase measurement.

Fig. 4
Fig. 4

Pellicle characteristics.

Fig. 5
Fig. 5

Output without intracavity pellicle.

Fig. 6
Fig. 6

Near-field polarization with pellicle at 57°.

Fig. 7
Fig. 7

Far-field polarization with pellicle at 57°.

Fig. 8
Fig. 8

Near-field polarization.

Fig. 9
Fig. 9

Ratio of the vertically polarized component to the horizontally polarized component as a function of azimuth.

Fig. 10
Fig. 10

Computer-generated near-field intensity profile: pellicle at 57°.

Fig. 11
Fig. 11

Computer-generated far-field intensity profile: pellicle at 57°.

Fig. 12
Fig. 12

Computer-generated near-field intensity profile: pellicle at 30°.

Fig. 13
Fig. 13

Computer-generated far-field intensity profile: pellicle at 30°.

Equations (17)

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tan α = T y / T x .
± B / A = tan χ .
sin δ = ( sin 2 χ ) / ( sin 2 α ) .
( E x E y ) = ( cos ϕ - sin ϕ sin ϕ cos ϕ ) ( - 1 0 0 1 ) ( cos ϕ sin ϕ - sin ϕ cos ϕ ) ( t p 2 0 0 t s 2 ) × ( cos ϕ - sin ϕ sin ϕ cos ϕ ) ( - 1 0 0 1 ) ( cos ϕ sin ϕ - sin ϕ cos ϕ ) ( E x E y ) ,
λ ( E x E y ) = [ t p 2 cos 2 θ + t s 2 sin 2 θ ( t p 2 - t s 2 ) cos θ sin θ ( t p 2 - t s 2 ) cos θ sin θ t p 2 sin 2 θ + t s 2 cos 2 θ ] ( E x E y ) ,
E 1 = ( cos 2 ϕ sin 2 ϕ )
E 2 = ( - sin 2 ϕ cos 2 ϕ ) .
λ E ¯ = K ^ P ^ E ,
E ¯ = ( E x E y ) ,
E + = 1 2 ( E x - i E y ) ,
E - = 1 2 ( E x + i E y ) ,
P ^ = t 2 [ 1 0 0 1 ] + Δ t 2 [ 0 exp ( - 4 i ϕ ) exp ( 4 i ϕ ) 0 ] ,
t = t p + t s ,
Δ t = t p - t s .
( 2 - t 2 ) Δ 2 L 1 λ 0 - λ 4 E 4 - ,
g ( r ) = g 0 ( r ) / [ 1 + I ( r ) / I sat ] ,
g 0 ( r ) = 0.0055 + 0.0008 r ,

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