Abstract

A novel geometrical laser array is presented in which high far-field intensities can be generated without phase control of the laser elements. The array was analyzed by randomly varying the phasing of the elements and calculating the maximum far-field intensity. In the worst possible phasing conditions, the maximum far-field intensity remained high and was nearly constant with regard to the number of array elements. By increasing the geometrical spacing factor, the maximum intensity will approach that of a perfectly phased array.

© 1986 Optical Society of America

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References

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  1. C. L. Hayes, W. C. Davis, “High-Power-Laser Adaptive Phased Arrays,” Appl. Opt. 18, 4106 (1979).
    [CrossRef] [PubMed]
  2. J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, New York, 1968), p. 63.
  3. J. E. Harvey, R. V. Shack, “Aberrations of Diffracted Wave Fields,” Appl. Opt. 17, 3003 (1978).
    [CrossRef] [PubMed]
  4. M. Born, E. Wolf, Principles of Optics (Pergamon, New York, 1983), P. 400.

1979 (1)

1978 (1)

Born, M.

M. Born, E. Wolf, Principles of Optics (Pergamon, New York, 1983), P. 400.

Davis, W. C.

Goodman, J. W.

J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, New York, 1968), p. 63.

Harvey, J. E.

Hayes, C. L.

Shack, R. V.

Wolf, E.

M. Born, E. Wolf, Principles of Optics (Pergamon, New York, 1983), P. 400.

Appl. Opt. (2)

Other (2)

M. Born, E. Wolf, Principles of Optics (Pergamon, New York, 1983), P. 400.

J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, New York, 1968), p. 63.

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Figures (3)

Fig. 1
Fig. 1

Schematic diagram of 1-D geometrical array.

Fig. 2
Fig. 2

Normalized array interference pattern as a function of scaled diffraction angle for maximum and minimum intensity conditions, illustrating the small decrease in maximum intensity of the geometrical array under random phasing.

Fig. 3
Fig. 3

Maximum value of array interference function for various geometrical factors and number of array elements at the minimum intensity condition.

Equations (3)

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I a = I 0 [ sin ( π d α / λ ) π d α / λ ] 2 ,
I = I a | n = 1 N exp [ - j ( k α X n + ϕ n ) ] | 2 ,
f = | 1 + n = 2 N exp { - j [ k α D a ( n - 2 ) + ϕ n ] } | 2 .

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