Abstract

Arrays of lasers that are locked together with the same phase produce far-field patterns with a significant amount of the energy residing in the sidelobes. We describe a technique that channels the majority of the sidelobe energy into the desired central lobe.

© 1987 Optical Society of America

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References

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  1. D. R. Scifres, R. D. Burnham, W. Streifer, Appl. Phys. Lett. 33, 1015 (1978).
    [CrossRef]
  2. D. G. Youmans, Appl. Phys. Lett. 44, 365 (1984).
    [CrossRef]
  3. L. A. Newman, R. A. Hart, J. T. Kennedy, A. J. Canter, A. J. DeMaria, Appl. Phys. Lett. 48, 1201 (1986).
    [CrossRef]

1986 (1)

L. A. Newman, R. A. Hart, J. T. Kennedy, A. J. Canter, A. J. DeMaria, Appl. Phys. Lett. 48, 1201 (1986).
[CrossRef]

1984 (1)

D. G. Youmans, Appl. Phys. Lett. 44, 365 (1984).
[CrossRef]

1978 (1)

D. R. Scifres, R. D. Burnham, W. Streifer, Appl. Phys. Lett. 33, 1015 (1978).
[CrossRef]

Burnham, R. D.

D. R. Scifres, R. D. Burnham, W. Streifer, Appl. Phys. Lett. 33, 1015 (1978).
[CrossRef]

Canter, A. J.

L. A. Newman, R. A. Hart, J. T. Kennedy, A. J. Canter, A. J. DeMaria, Appl. Phys. Lett. 48, 1201 (1986).
[CrossRef]

DeMaria, A. J.

L. A. Newman, R. A. Hart, J. T. Kennedy, A. J. Canter, A. J. DeMaria, Appl. Phys. Lett. 48, 1201 (1986).
[CrossRef]

Hart, R. A.

L. A. Newman, R. A. Hart, J. T. Kennedy, A. J. Canter, A. J. DeMaria, Appl. Phys. Lett. 48, 1201 (1986).
[CrossRef]

Kennedy, J. T.

L. A. Newman, R. A. Hart, J. T. Kennedy, A. J. Canter, A. J. DeMaria, Appl. Phys. Lett. 48, 1201 (1986).
[CrossRef]

Newman, L. A.

L. A. Newman, R. A. Hart, J. T. Kennedy, A. J. Canter, A. J. DeMaria, Appl. Phys. Lett. 48, 1201 (1986).
[CrossRef]

Scifres, D. R.

D. R. Scifres, R. D. Burnham, W. Streifer, Appl. Phys. Lett. 33, 1015 (1978).
[CrossRef]

Streifer, W.

D. R. Scifres, R. D. Burnham, W. Streifer, Appl. Phys. Lett. 33, 1015 (1978).
[CrossRef]

Youmans, D. G.

D. G. Youmans, Appl. Phys. Lett. 44, 365 (1984).
[CrossRef]

Appl. Phys. Lett. (3)

D. R. Scifres, R. D. Burnham, W. Streifer, Appl. Phys. Lett. 33, 1015 (1978).
[CrossRef]

D. G. Youmans, Appl. Phys. Lett. 44, 365 (1984).
[CrossRef]

L. A. Newman, R. A. Hart, J. T. Kennedy, A. J. Canter, A. J. DeMaria, Appl. Phys. Lett. 48, 1201 (1986).
[CrossRef]

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Figures (3)

Fig. 1
Fig. 1

Schematic representation of (a) phase-locked laser array and (b) aperture-filling technique.

Fig. 2
Fig. 2

Optical configuration for performing aperture filling.

Fig. 3
Fig. 3

Photographs of (a) aperture of simulated He–Ne laser array, (b) far-field pattern of the array, (c) filled aperture after field transformation, and (d) far-field pattern of the phase-corrected filled aperture.

Equations (8)

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

E ( x ) = a 0 + a ( x ) ,
E 1 ( x ) = [ a 0 + a ( x ) ] cos ( ϕ / 2 ) + i [ a 0 - a ( x ) ] sin ( ϕ / 2 )
A 1 ( x ) = [ a 0 2 + 2 a 0 a ( x ) cos ( ϕ ) + a 2 ( x ) ] 1 / 2
θ 1 ( x ) = tan - 1 { - [ a 0 - a ( x ) a 0 + a ( x ) ] tan ( ϕ / 2 ) } .
a ( x ) = { - a 0 1 - a 0 ,
ϕ = cos - 1 ( 2 a 0 - 1 2 a 0 )
Δ θ = cotan - 1 ( 2 a 0 - 1 4 a 0 - 1 )
Δ θ = ϕ .

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