Abstract

We report what we believe to be the first applications of numerical optimization algorithms to the design of diffractive elements that customize the fundamental mode profile of a laser system. Standard design techniques treat these elements as specific phase-conjugation devices, which leads to performance loss when they are quantized to permit fabrication. Numerical optimization can account for quantization of the element to increase the effective performance. Also, it is shown that allowing a slight increase in the intrinsic loss of the cavity can substantially increase the fidelity of the fundamental mode of the customized cavity. The good discrimination qualities of the mode-selection elements are shown to be unaffected by this process.

© 1998 Optical Society of America

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References

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1997 (1)

1995 (1)

1994 (1)

1993 (1)

1992 (1)

1991 (1)

1987 (1)

1983 (1)

S. Kirkpatrick, C. D. Gelatt, and M. P. Vecchi, Science 220, 671 (1983).
[CrossRef] [PubMed]

1961 (1)

A. G. Fox and T. Li, Bell Syst. Tech. J.453 (1961).
[CrossRef]

Allenbach, J. P.

Belanger, P. A.

Burnham, R. L.

Chen, D.

Dai, K.

Fox, A. G.

A. G. Fox and T. Li, Bell Syst. Tech. J.453 (1961).
[CrossRef]

Gelatt, C. D.

S. Kirkpatrick, C. D. Gelatt, and M. P. Vecchi, Science 220, 671 (1983).
[CrossRef] [PubMed]

Kasinski, J. J.

Kirkpatrick, S.

S. Kirkpatrick, C. D. Gelatt, and M. P. Vecchi, Science 220, 671 (1983).
[CrossRef] [PubMed]

Lachance, R. L.

Leger, J. R.

Li, T.

A. G. Fox and T. Li, Bell Syst. Tech. J.453 (1961).
[CrossRef]

Mowry, G.

Paré, C.

Seldowitz, M. A.

Sweeney, D. W.

Vecchi, M. P.

S. Kirkpatrick, C. D. Gelatt, and M. P. Vecchi, Science 220, 671 (1983).
[CrossRef] [PubMed]

Wang, Z.

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Figures (2)

Fig. 1
Fig. 1

Fundamental mode profiles for the initial and the optimized MSE, LMAX=3%.

Fig. 2
Fig. 2

Fundamental mode profiles of the initial and the optimized MSE (two-dimensional case), LMAX=3%.

Tables (1)

Tables Icon

Table 1 Performance of the Optimized MSE's in Terms of Intrinsic Loss L and Fidelity of the Customized Mode Profile (Measured by the SNR) for Different Values of LMAX

Equations (3)

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

SNR=-α2U0x, y2dxdy-Umx, y-αU0x, y2dxdy.
α=-Umx, yU0x, ydxdy-U0x, y2dxdy.
Ux=exp-0.5x/w0n.

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