Abstract

An analysis is presented for the modulation indices and spatial spectra of a plane wave that propagates in a uniform medium after having been randomized by passage through a turbulent layer. The method of smooth perturbations is employed to obtain the statistical boundary condition for the wave as it passes out of the layer, and the method of rigorous diffraction theory is used in the uniform medium beyond. The diffraction theory predicts a fine structure in the spatial irradiance pattern due to a single layer, which is not found in the usual approximations. Applying the results to atmospheric turbulence, we show that the fine structure is enhanced by the amplitude fluctuations effected in the layer. However, the effects will usually be lost by aperture averaging.

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  1. V. I. Tatarskii, The Effects of the Turbulent Atmosphere on Wave Propagation, (Trans.) National Technical Information Service TT 68-50464 (1971).
  2. Yu. N. Barabanenkov, Yu. A. Kravtsov, S. M. Rytov, and V. I. Tatarskii, Usp. Fiz. Nauk 102, 3 (1970) [Sov. Phys. -Usp. 13, 551 (1971)].
  3. R. P. Mercier, Philos. Mag. 4, 763 (1959).
  4. N. G. Denisov and L. S. Dolin, in Electromagnetic Theory and Antennas, edited by E. C. Jordan (Pergamon, New York, 1963), Vol. 6, Part 2, p. 819.
  5. E. E. Salpeter, Astrophys. J. 147, 433 (1967).
  6. R. P. Mercier, Proc. Cambr. Philos. Soc. 58, 382 (1962).
  7. V. V. Pisareva, Astron. Zh. 35, 112 (1958).
  8. V. I. Shishov, Izv. Vuz. Radiofiz. 14, 87 (1971).
  9. L. S. Taylor, J. Math Phys. 13, 590 (1972).
  10. S. O. Rice, Bell Syst. Tech. J. 23, 282 (1944); 24, 46 (1945).
  11. I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series and Products (Academic, New York, 1965).
  12. R. S. Lawrence and J. S. Strohbehn, Proc. IEEE 58, 1523 (1970).
  13. A. Hewish, Proc. Roy. Soc. London A209, 81 (1951).
  14. J. A. Ratcliffe, Repts. Prog. Phys. XIX, 188 (1956).
  15. J. L. Bufton, Appl. Oct. 12, 1787 (1973).
  16. M. A. Ellison and H. Seddon, Mon. Nat. Roy. Ast. Soc. 112, 73 (1952).

Barabanenkov, Yu. N.

Yu. N. Barabanenkov, Yu. A. Kravtsov, S. M. Rytov, and V. I. Tatarskii, Usp. Fiz. Nauk 102, 3 (1970) [Sov. Phys. -Usp. 13, 551 (1971)].

Bufton, J. L.

J. L. Bufton, Appl. Oct. 12, 1787 (1973).

Denisov, N. G.

N. G. Denisov and L. S. Dolin, in Electromagnetic Theory and Antennas, edited by E. C. Jordan (Pergamon, New York, 1963), Vol. 6, Part 2, p. 819.

Dolin, L. S.

N. G. Denisov and L. S. Dolin, in Electromagnetic Theory and Antennas, edited by E. C. Jordan (Pergamon, New York, 1963), Vol. 6, Part 2, p. 819.

Ellison, M. A.

M. A. Ellison and H. Seddon, Mon. Nat. Roy. Ast. Soc. 112, 73 (1952).

Gradshteyn, I. S.

I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series and Products (Academic, New York, 1965).

Hewish, A.

A. Hewish, Proc. Roy. Soc. London A209, 81 (1951).

Kravtsov, Yu. A.

Yu. N. Barabanenkov, Yu. A. Kravtsov, S. M. Rytov, and V. I. Tatarskii, Usp. Fiz. Nauk 102, 3 (1970) [Sov. Phys. -Usp. 13, 551 (1971)].

Lawrence, R. S.

R. S. Lawrence and J. S. Strohbehn, Proc. IEEE 58, 1523 (1970).

Mercier, R. P.

R. P. Mercier, Proc. Cambr. Philos. Soc. 58, 382 (1962).

R. P. Mercier, Philos. Mag. 4, 763 (1959).

Pisareva, V. V.

V. V. Pisareva, Astron. Zh. 35, 112 (1958).

Ratcliffe, J. A.

J. A. Ratcliffe, Repts. Prog. Phys. XIX, 188 (1956).

Rice, S. O.

S. O. Rice, Bell Syst. Tech. J. 23, 282 (1944); 24, 46 (1945).

Rytov, S. M.

Yu. N. Barabanenkov, Yu. A. Kravtsov, S. M. Rytov, and V. I. Tatarskii, Usp. Fiz. Nauk 102, 3 (1970) [Sov. Phys. -Usp. 13, 551 (1971)].

Ryzhik, I. M.

I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series and Products (Academic, New York, 1965).

Salpeter, E. E.

E. E. Salpeter, Astrophys. J. 147, 433 (1967).

Seddon, H.

M. A. Ellison and H. Seddon, Mon. Nat. Roy. Ast. Soc. 112, 73 (1952).

Shishov, V. I.

V. I. Shishov, Izv. Vuz. Radiofiz. 14, 87 (1971).

Strohbehn, J. S.

R. S. Lawrence and J. S. Strohbehn, Proc. IEEE 58, 1523 (1970).

Tatarskii, V. I.

Yu. N. Barabanenkov, Yu. A. Kravtsov, S. M. Rytov, and V. I. Tatarskii, Usp. Fiz. Nauk 102, 3 (1970) [Sov. Phys. -Usp. 13, 551 (1971)].

V. I. Tatarskii, The Effects of the Turbulent Atmosphere on Wave Propagation, (Trans.) National Technical Information Service TT 68-50464 (1971).

Taylor, L. S.

L. S. Taylor, J. Math Phys. 13, 590 (1972).

Other (16)

V. I. Tatarskii, The Effects of the Turbulent Atmosphere on Wave Propagation, (Trans.) National Technical Information Service TT 68-50464 (1971).

Yu. N. Barabanenkov, Yu. A. Kravtsov, S. M. Rytov, and V. I. Tatarskii, Usp. Fiz. Nauk 102, 3 (1970) [Sov. Phys. -Usp. 13, 551 (1971)].

R. P. Mercier, Philos. Mag. 4, 763 (1959).

N. G. Denisov and L. S. Dolin, in Electromagnetic Theory and Antennas, edited by E. C. Jordan (Pergamon, New York, 1963), Vol. 6, Part 2, p. 819.

E. E. Salpeter, Astrophys. J. 147, 433 (1967).

R. P. Mercier, Proc. Cambr. Philos. Soc. 58, 382 (1962).

V. V. Pisareva, Astron. Zh. 35, 112 (1958).

V. I. Shishov, Izv. Vuz. Radiofiz. 14, 87 (1971).

L. S. Taylor, J. Math Phys. 13, 590 (1972).

S. O. Rice, Bell Syst. Tech. J. 23, 282 (1944); 24, 46 (1945).

I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series and Products (Academic, New York, 1965).

R. S. Lawrence and J. S. Strohbehn, Proc. IEEE 58, 1523 (1970).

A. Hewish, Proc. Roy. Soc. London A209, 81 (1951).

J. A. Ratcliffe, Repts. Prog. Phys. XIX, 188 (1956).

J. L. Bufton, Appl. Oct. 12, 1787 (1973).

M. A. Ellison and H. Seddon, Mon. Nat. Roy. Ast. Soc. 112, 73 (1952).

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