Abstract

<p>On the basis of the extended Huygens–Fresnel principle, a general expression is derived for the short-term average optical-beam spread, as measured with respect to the instantaneous center of energy of the beam, of an initially coherent optical-beam wave propagating in a weakly inhomogeneous medium. The present analysis applies to the near field of the effective coherent transmitting aperture, where the beam wanders (dances) as a whole and does not break up into multiple patches or blobs. Central to the analysis is the short-term average mutual coherence function (MCF) of a spherical wave. This quantity is obtained from the corresponding long-term MCF by removing the random tilt of the wave front. Analytic expressions for the short-term beam spread are presented for the case of a Kolmogorov spectrum and the short-term average MCF derived by Fried. As expected, the short-term, turbulence-induced beam spread is always less than the corresponding long-term beam spread. Analytic and numerical results are given for the short-term average irradiance at focal range ƒ, which is always greater than the corresponding long-term average irradiance.</p>

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  1. W. P. Brown, J. Opt. Soc. Am. 61, 1051 (1971).
  2. R. F. Lutomirski and H. T. Yura, Appl. Opt. 10, 1652 (1971).
  3. H. T. Yura, Appl. Opt. 10, 2771 (1971).
  4. A. I. Kon, Izv. Vyssh. Uchebn. Zaved. Radiofiz. 13, 61 (1970).
  5. 5V. I. Tatarski, Wave Propagation in a Turbulent Medium (McGraw—Hill, New York, 1961).
  6. D. L. Fried, J. Opt. Soc. Am. 56, 1372 (1966).
  7. D. L. Fried and H. T. Yura, J. Opt. Soc. Am. 62, 600 (1972).
  8. R. E. Hufnagel and N. R. Stanley, J. Opt. Soc. Am. 54, 52 (1964).
  9. R. S. Lawrence, G. R. Ochs, and S. F. Clifford, J. Opt. Soc. Am. 60, 826 (1970).
  10. R. F. Lutomirski and H. T. Yura, J. Opt. Soc. Am. 61, 482 (1971).

1972 (1)

D. L. Fried and H. T. Yura, J. Opt. Soc. Am. 62, 600 (1972).

1971 (4)

R. F. Lutomirski and H. T. Yura, J. Opt. Soc. Am. 61, 482 (1971).

W. P. Brown, J. Opt. Soc. Am. 61, 1051 (1971).

R. F. Lutomirski and H. T. Yura, Appl. Opt. 10, 1652 (1971).

H. T. Yura, Appl. Opt. 10, 2771 (1971).

1970 (2)

A. I. Kon, Izv. Vyssh. Uchebn. Zaved. Radiofiz. 13, 61 (1970).

R. S. Lawrence, G. R. Ochs, and S. F. Clifford, J. Opt. Soc. Am. 60, 826 (1970).

1966 (1)

D. L. Fried, J. Opt. Soc. Am. 56, 1372 (1966).

1964 (1)

R. E. Hufnagel and N. R. Stanley, J. Opt. Soc. Am. 54, 52 (1964).

Brown, W. P.

W. P. Brown, J. Opt. Soc. Am. 61, 1051 (1971).

Clifford, S. F.

R. S. Lawrence, G. R. Ochs, and S. F. Clifford, J. Opt. Soc. Am. 60, 826 (1970).

Fried, D. L.

D. L. Fried and H. T. Yura, J. Opt. Soc. Am. 62, 600 (1972).

D. L. Fried, J. Opt. Soc. Am. 56, 1372 (1966).

Hufnagel, R. E.

R. E. Hufnagel and N. R. Stanley, J. Opt. Soc. Am. 54, 52 (1964).

Kon, A. I.

A. I. Kon, Izv. Vyssh. Uchebn. Zaved. Radiofiz. 13, 61 (1970).

Lawrence, R. S.

R. S. Lawrence, G. R. Ochs, and S. F. Clifford, J. Opt. Soc. Am. 60, 826 (1970).

Lutomirski, R. F.

R. F. Lutomirski and H. T. Yura, J. Opt. Soc. Am. 61, 482 (1971).

R. F. Lutomirski and H. T. Yura, Appl. Opt. 10, 1652 (1971).

Ochs, G. R.

R. S. Lawrence, G. R. Ochs, and S. F. Clifford, J. Opt. Soc. Am. 60, 826 (1970).

Stanley, N. R.

R. E. Hufnagel and N. R. Stanley, J. Opt. Soc. Am. 54, 52 (1964).

Tatarski, V. I.

5V. I. Tatarski, Wave Propagation in a Turbulent Medium (McGraw—Hill, New York, 1961).

Yura, H. T.

D. L. Fried and H. T. Yura, J. Opt. Soc. Am. 62, 600 (1972).

R. F. Lutomirski and H. T. Yura, Appl. Opt. 10, 1652 (1971).

H. T. Yura, Appl. Opt. 10, 2771 (1971).

R. F. Lutomirski and H. T. Yura, J. Opt. Soc. Am. 61, 482 (1971).

Other (10)

W. P. Brown, J. Opt. Soc. Am. 61, 1051 (1971).

R. F. Lutomirski and H. T. Yura, Appl. Opt. 10, 1652 (1971).

H. T. Yura, Appl. Opt. 10, 2771 (1971).

A. I. Kon, Izv. Vyssh. Uchebn. Zaved. Radiofiz. 13, 61 (1970).

5V. I. Tatarski, Wave Propagation in a Turbulent Medium (McGraw—Hill, New York, 1961).

D. L. Fried, J. Opt. Soc. Am. 56, 1372 (1966).

D. L. Fried and H. T. Yura, J. Opt. Soc. Am. 62, 600 (1972).

R. E. Hufnagel and N. R. Stanley, J. Opt. Soc. Am. 54, 52 (1964).

R. S. Lawrence, G. R. Ochs, and S. F. Clifford, J. Opt. Soc. Am. 60, 826 (1970).

R. F. Lutomirski and H. T. Yura, J. Opt. Soc. Am. 61, 482 (1971).

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