Abstract

In a previous work [J. Opt. Soc. Am. A24, 753 (2007)], we developed a theory describing the space-time statistics of the scintillation and displacement fields of the turbulent point-spread function (PSF), which we validated using imaging data. We now expand on that work by deriving the theoretical expression for the spread fields of the PSF. We also show how the displacement and spread fields are derivable from a set of potentials, and we discuss some of the properties of those potentials.

© 2007 Optical Society of America

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  1. G. Potvin, J. L. Forand, and D. Dion, "Some space-time statistics of the turbulent point-spread function," J. Opt. Soc. Am. A 24, 753-763 (2007).
  2. V. I. Tatarski, Wave Propagation in a Turbulent Medium (McGraw-Hill, 1961), p. 285.
  3. R. R. Beland, "Propagation through atmospheric optical turbulence," in Atmospheric Propagation of Radiation, F.G.Smith, ed., Vol. 2 of The Infrared and Electro-Optical Systems Handbook (SPIE Press, 1993), pp. 157-232.
  4. R. L. Fante, "Wave propagation in random media: a systems approach," in Progress in Optics, Vol. 22, E.Wolf, ed. (Elsevier, 1985), pp. 341-398.
  5. D. L. Fried, "Optical resolution through a randomly inhomogeneous medium for very long and very short exposures," J. Opt. Soc. Am. 56, 1372-1379 (1966).
  6. M. S. Belen'kii, J. M. Steward, and P. Gillespie, "Turbulence-induced edge image waviness: theory and experiment," Appl. Opt. 40, 1321-1328 (2001).
  7. M. S. Belenkii, K. Burgi, P. Gillespie, G. G. Gimmestad, K. Hughes, D. Rogerts, J. Stewart, and J. Wood, "Measurement of tilt anisoplanatism with discrete and extended sources," Proc. SPIE 5160, 107-120 (2004).
  8. G. Potvin, J. L. Forand, and D. Dion, "A parametric model for simulating turbulence effects on imaging systems," DRDC Valcartier TR 2006-787 (Defence Research & Development Canada--Valcartier, Canada, 2007).
  9. M. Born and E. Wolf, Principles of Optics (Pergamon, 1964).
  10. R. J. Noll, "Zernike polynomials and atmospheric turbulence," J. Opt. Soc. Am. 66, 207-211 (1976).
  11. N. Roddier, "Atmospheric wavefront simulation using zernike polynomials," Opt. Eng. 29, 1174-1180 (1990).

2007 (1)

2004 (1)

M. S. Belenkii, K. Burgi, P. Gillespie, G. G. Gimmestad, K. Hughes, D. Rogerts, J. Stewart, and J. Wood, "Measurement of tilt anisoplanatism with discrete and extended sources," Proc. SPIE 5160, 107-120 (2004).

2001 (1)

1990 (1)

N. Roddier, "Atmospheric wavefront simulation using zernike polynomials," Opt. Eng. 29, 1174-1180 (1990).

1976 (1)

1966 (1)

Beland, R. R.

R. R. Beland, "Propagation through atmospheric optical turbulence," in Atmospheric Propagation of Radiation, F.G.Smith, ed., Vol. 2 of The Infrared and Electro-Optical Systems Handbook (SPIE Press, 1993), pp. 157-232.

Belenkii, M. S.

M. S. Belenkii, K. Burgi, P. Gillespie, G. G. Gimmestad, K. Hughes, D. Rogerts, J. Stewart, and J. Wood, "Measurement of tilt anisoplanatism with discrete and extended sources," Proc. SPIE 5160, 107-120 (2004).

Belen'kii, M. S.

Born, M.

M. Born and E. Wolf, Principles of Optics (Pergamon, 1964).

Burgi, K.

M. S. Belenkii, K. Burgi, P. Gillespie, G. G. Gimmestad, K. Hughes, D. Rogerts, J. Stewart, and J. Wood, "Measurement of tilt anisoplanatism with discrete and extended sources," Proc. SPIE 5160, 107-120 (2004).

Dion, D.

G. Potvin, J. L. Forand, and D. Dion, "Some space-time statistics of the turbulent point-spread function," J. Opt. Soc. Am. A 24, 753-763 (2007).

G. Potvin, J. L. Forand, and D. Dion, "A parametric model for simulating turbulence effects on imaging systems," DRDC Valcartier TR 2006-787 (Defence Research & Development Canada--Valcartier, Canada, 2007).

Fante, R. L.

R. L. Fante, "Wave propagation in random media: a systems approach," in Progress in Optics, Vol. 22, E.Wolf, ed. (Elsevier, 1985), pp. 341-398.

Forand, J. L.

G. Potvin, J. L. Forand, and D. Dion, "Some space-time statistics of the turbulent point-spread function," J. Opt. Soc. Am. A 24, 753-763 (2007).

G. Potvin, J. L. Forand, and D. Dion, "A parametric model for simulating turbulence effects on imaging systems," DRDC Valcartier TR 2006-787 (Defence Research & Development Canada--Valcartier, Canada, 2007).

Fried, D. L.

Gillespie, P.

M. S. Belenkii, K. Burgi, P. Gillespie, G. G. Gimmestad, K. Hughes, D. Rogerts, J. Stewart, and J. Wood, "Measurement of tilt anisoplanatism with discrete and extended sources," Proc. SPIE 5160, 107-120 (2004).

M. S. Belen'kii, J. M. Steward, and P. Gillespie, "Turbulence-induced edge image waviness: theory and experiment," Appl. Opt. 40, 1321-1328 (2001).

Gimmestad, G. G.

M. S. Belenkii, K. Burgi, P. Gillespie, G. G. Gimmestad, K. Hughes, D. Rogerts, J. Stewart, and J. Wood, "Measurement of tilt anisoplanatism with discrete and extended sources," Proc. SPIE 5160, 107-120 (2004).

Hughes, K.

M. S. Belenkii, K. Burgi, P. Gillespie, G. G. Gimmestad, K. Hughes, D. Rogerts, J. Stewart, and J. Wood, "Measurement of tilt anisoplanatism with discrete and extended sources," Proc. SPIE 5160, 107-120 (2004).

Noll, R. J.

Potvin, G.

G. Potvin, J. L. Forand, and D. Dion, "Some space-time statistics of the turbulent point-spread function," J. Opt. Soc. Am. A 24, 753-763 (2007).

G. Potvin, J. L. Forand, and D. Dion, "A parametric model for simulating turbulence effects on imaging systems," DRDC Valcartier TR 2006-787 (Defence Research & Development Canada--Valcartier, Canada, 2007).

Roddier, N.

N. Roddier, "Atmospheric wavefront simulation using zernike polynomials," Opt. Eng. 29, 1174-1180 (1990).

Rogerts, D.

M. S. Belenkii, K. Burgi, P. Gillespie, G. G. Gimmestad, K. Hughes, D. Rogerts, J. Stewart, and J. Wood, "Measurement of tilt anisoplanatism with discrete and extended sources," Proc. SPIE 5160, 107-120 (2004).

Steward, J. M.

Stewart, J.

M. S. Belenkii, K. Burgi, P. Gillespie, G. G. Gimmestad, K. Hughes, D. Rogerts, J. Stewart, and J. Wood, "Measurement of tilt anisoplanatism with discrete and extended sources," Proc. SPIE 5160, 107-120 (2004).

Tatarski, V. I.

V. I. Tatarski, Wave Propagation in a Turbulent Medium (McGraw-Hill, 1961), p. 285.

Wolf, E.

M. Born and E. Wolf, Principles of Optics (Pergamon, 1964).

Wood, J.

M. S. Belenkii, K. Burgi, P. Gillespie, G. G. Gimmestad, K. Hughes, D. Rogerts, J. Stewart, and J. Wood, "Measurement of tilt anisoplanatism with discrete and extended sources," Proc. SPIE 5160, 107-120 (2004).

Appl. Opt. (1)

J. Opt. Soc. Am. (2)

J. Opt. Soc. Am. A (1)

Opt. Eng. (1)

N. Roddier, "Atmospheric wavefront simulation using zernike polynomials," Opt. Eng. 29, 1174-1180 (1990).

Proc. SPIE (1)

M. S. Belenkii, K. Burgi, P. Gillespie, G. G. Gimmestad, K. Hughes, D. Rogerts, J. Stewart, and J. Wood, "Measurement of tilt anisoplanatism with discrete and extended sources," Proc. SPIE 5160, 107-120 (2004).

Other (5)

G. Potvin, J. L. Forand, and D. Dion, "A parametric model for simulating turbulence effects on imaging systems," DRDC Valcartier TR 2006-787 (Defence Research & Development Canada--Valcartier, Canada, 2007).

M. Born and E. Wolf, Principles of Optics (Pergamon, 1964).

V. I. Tatarski, Wave Propagation in a Turbulent Medium (McGraw-Hill, 1961), p. 285.

R. R. Beland, "Propagation through atmospheric optical turbulence," in Atmospheric Propagation of Radiation, F.G.Smith, ed., Vol. 2 of The Infrared and Electro-Optical Systems Handbook (SPIE Press, 1993), pp. 157-232.

R. L. Fante, "Wave propagation in random media: a systems approach," in Progress in Optics, Vol. 22, E.Wolf, ed. (Elsevier, 1985), pp. 341-398.

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