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  1. A. W. Lohmann, Appl. Opt. 7, 561 (1968).
    [CrossRef]
  2. W. T. Maloney, Appl. Opt. 10, 2127 (1971).
    [CrossRef] [PubMed]
  3. W. T. Rhodes, W. R. Limburg, in Proceedings of the 1972 Electro-Optical Systems Design Conference (Industrial & Scientific Conference Management, Inc., Chicago, 1972), pp. 314–320.
  4. G. L. Rogers, Opt. Laser Technol. 7, 153 (1975).
    [CrossRef]
  5. S. Lowenthal, P. Chavel, in Proceedings of the ICO Conference on Applications of Holography and Optical Data Processing, Jerusalem, 1976 (Plenum, New York, 1977).
  6. W. Lukosz, J. Opt. Soc. Am. 52, 827 (1962).
    [CrossRef]
  7. A. W. Lohmann, Appl. Opt. 16, 261 (1977).
    [CrossRef] [PubMed]
  8. W. Swindell, Appl. Opt. 9, 2459 (1970).
    [CrossRef] [PubMed]
  9. P. Chavel, S. Lowenthal, J. Opt. Soc. Am. 66, 14 (1976).
    [CrossRef]
  10. G. Häusler, A. W. Lohmann, in Proceedings of the ICO Conference on Applications of Holography and Optical Data Processing, Jerusalem, 1976 (Plenum, New York, 1977).
  11. W. T. Rhodes, in Proceedings of the 1976 International Optical Computing Conference, Capri, Italy, S. Horwitz, Ed. (IEEE, New York, 1977).
  12. M. Ryle, Proc. R. Soc. Lond. A211, 351 (1952).
  13. W. T. Rhodes, A. W. Lohmann, “Two-Pupil Synthesis of Optical Transfer Functions,” in preparation.
  14. W. T. Rhodes, Opt. Eng. 13, 267 (1974).
    [CrossRef]
  15. A. Kozma, N. Massey, Appl. Opt. 8, 393 (1969).
    [CrossRef] [PubMed]
  16. A. Macovski, Ph.D. thesis, University Microfilm, Order 69–258 (1968).
  17. J. Tsujiuchi, in Progress in Optics, E. Wolf, Ed. (North-Holland, Amsterdam, 1963), Vol. 2, pp. 145–149.
    [CrossRef]
  18. D. C. Chu, J. R. Fienup, J. W. Goodman, Appl. Opt. 12, 1386 (1973).
    [CrossRef] [PubMed]

1977

1976

1975

G. L. Rogers, Opt. Laser Technol. 7, 153 (1975).
[CrossRef]

1974

W. T. Rhodes, Opt. Eng. 13, 267 (1974).
[CrossRef]

1973

1971

1970

1969

1968

1962

1952

M. Ryle, Proc. R. Soc. Lond. A211, 351 (1952).

Chavel, P.

P. Chavel, S. Lowenthal, J. Opt. Soc. Am. 66, 14 (1976).
[CrossRef]

S. Lowenthal, P. Chavel, in Proceedings of the ICO Conference on Applications of Holography and Optical Data Processing, Jerusalem, 1976 (Plenum, New York, 1977).

Chu, D. C.

Fienup, J. R.

Goodman, J. W.

Häusler, G.

G. Häusler, A. W. Lohmann, in Proceedings of the ICO Conference on Applications of Holography and Optical Data Processing, Jerusalem, 1976 (Plenum, New York, 1977).

Kozma, A.

Limburg, W. R.

W. T. Rhodes, W. R. Limburg, in Proceedings of the 1972 Electro-Optical Systems Design Conference (Industrial & Scientific Conference Management, Inc., Chicago, 1972), pp. 314–320.

Lohmann, A. W.

A. W. Lohmann, Appl. Opt. 16, 261 (1977).
[CrossRef] [PubMed]

A. W. Lohmann, Appl. Opt. 7, 561 (1968).
[CrossRef]

G. Häusler, A. W. Lohmann, in Proceedings of the ICO Conference on Applications of Holography and Optical Data Processing, Jerusalem, 1976 (Plenum, New York, 1977).

W. T. Rhodes, A. W. Lohmann, “Two-Pupil Synthesis of Optical Transfer Functions,” in preparation.

Lowenthal, S.

P. Chavel, S. Lowenthal, J. Opt. Soc. Am. 66, 14 (1976).
[CrossRef]

S. Lowenthal, P. Chavel, in Proceedings of the ICO Conference on Applications of Holography and Optical Data Processing, Jerusalem, 1976 (Plenum, New York, 1977).

Lukosz, W.

Macovski, A.

A. Macovski, Ph.D. thesis, University Microfilm, Order 69–258 (1968).

Maloney, W. T.

Massey, N.

Rhodes, W. T.

W. T. Rhodes, Opt. Eng. 13, 267 (1974).
[CrossRef]

W. T. Rhodes, W. R. Limburg, in Proceedings of the 1972 Electro-Optical Systems Design Conference (Industrial & Scientific Conference Management, Inc., Chicago, 1972), pp. 314–320.

W. T. Rhodes, A. W. Lohmann, “Two-Pupil Synthesis of Optical Transfer Functions,” in preparation.

W. T. Rhodes, in Proceedings of the 1976 International Optical Computing Conference, Capri, Italy, S. Horwitz, Ed. (IEEE, New York, 1977).

Rogers, G. L.

G. L. Rogers, Opt. Laser Technol. 7, 153 (1975).
[CrossRef]

Ryle, M.

M. Ryle, Proc. R. Soc. Lond. A211, 351 (1952).

Swindell, W.

Tsujiuchi, J.

J. Tsujiuchi, in Progress in Optics, E. Wolf, Ed. (North-Holland, Amsterdam, 1963), Vol. 2, pp. 145–149.
[CrossRef]

Appl. Opt.

J. Opt. Soc. Am.

Opt. Eng.

W. T. Rhodes, Opt. Eng. 13, 267 (1974).
[CrossRef]

Opt. Laser Technol.

G. L. Rogers, Opt. Laser Technol. 7, 153 (1975).
[CrossRef]

Proc. R. Soc. Lond.

M. Ryle, Proc. R. Soc. Lond. A211, 351 (1952).

Other

W. T. Rhodes, A. W. Lohmann, “Two-Pupil Synthesis of Optical Transfer Functions,” in preparation.

A. Macovski, Ph.D. thesis, University Microfilm, Order 69–258 (1968).

J. Tsujiuchi, in Progress in Optics, E. Wolf, Ed. (North-Holland, Amsterdam, 1963), Vol. 2, pp. 145–149.
[CrossRef]

S. Lowenthal, P. Chavel, in Proceedings of the ICO Conference on Applications of Holography and Optical Data Processing, Jerusalem, 1976 (Plenum, New York, 1977).

W. T. Rhodes, W. R. Limburg, in Proceedings of the 1972 Electro-Optical Systems Design Conference (Industrial & Scientific Conference Management, Inc., Chicago, 1972), pp. 314–320.

G. Häusler, A. W. Lohmann, in Proceedings of the ICO Conference on Applications of Holography and Optical Data Processing, Jerusalem, 1976 (Plenum, New York, 1977).

W. T. Rhodes, in Proceedings of the 1976 International Optical Computing Conference, Capri, Italy, S. Horwitz, Ed. (IEEE, New York, 1977).

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Figures (3)

Fig. 1
Fig. 1

Phase switching incoherent optical processing system (Michelson configuration).

Fig. 2
Fig. 2

Bandpass filtering: (a) composite pupil, as viewed through one of lenses; (b) OTF cross section with mirrors coplanar; (c) with λ/2 pathlength difference; (d) synthesized OTF.

Fig. 3
Fig. 3

Electronic system for extracting synthesis components. Phase switched (bandpass) portion of scan signal is demodulated into quadrature components FR and FI. FL is the unswitched (lowpass) component. Gain coefficients α, β, γ can be negative.

Equations (15)

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p ˜ ( u ) = p ˜ 1 ( u ) exp ( i ϕ ) + p ˜ 2 ( u ) ,
F ( x ) = p 1 ( x ) 2 + p 2 ( x ) 2 + [ p 1 ( x ) p 2 * ( x ) exp ( i ϕ ) + p 1 * ( x ) p 2 ( x ) exp ( - i ϕ ) ]
F ( x ) = p 1 ( x ) 2 + p 2 ( x ) 2 + 2 p 1 ( x ) p 2 ( x ) cos [ ϕ + θ 1 ( x ) - θ 2 ( x ) ] ,
p ( x ) = p ( x ) exp [ i θ ( x ) ] .
I ( x ) = O ( x ) * F ( x ) = O ( x ) * p 1 ( x ) 2 + O ( x ) * p 2 ( x ) 2 + O ( x ) * 2 p 1 ( x ) p 2 ( x ) cos [ ϕ + θ 1 ( x ) - θ 2 ( x ) ] ,
ϕ = ϕ ( t ) = ω o t = 2 π ν o t ,
v ( t , x ) = p 1 ( x ) 2 + p 2 ( x ) 2 + 2 p 1 ( x ) p 2 ( x ) cos [ ω o t + θ 1 ( x ) - θ 2 ( x ) ] .
F L ( x ) = p 1 ( x ) 2 + p 2 ( x ) 2 ;
F R ( x ) = p 1 ( x ) p 2 ( x ) cos [ θ 1 ( x ) - θ 2 ( x ) ] = Re [ p 1 ( x ) p 2 * ( x ) ] ;
F I ( x ) = p 1 ( x ) p 2 ( x ) sin [ θ 1 ( x ) - θ 2 ( x ) ] = Im [ p 1 ( x ) p 2 * ( x ) ] .
F s ( x ) = α F L ( x ) + β F R ( x ) + γ F I ( x ) ,
p ˜ 1 ( u ) = p ˜ o ( u ) , p ˜ 2 ( u ) = p ˜ o * ( - u ) ;
p 1 ( x ) = p o ( x ) , p 2 ( x ) = p o * ( x ) ;
v ( t , x ) = 2 p o 2 ( x ) + 2 p o 2 ( x ) cos [ ω o t + 2 θ ( x ) ] .
p o 2 ( x ) = E [ s ( x ) ] + i O [ s ( x ) ] ,

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