Abstract

It is shown, theoretically and experimentally, that a rotating object can be two-dimensionally imaged by illuminating the object with a sinusoidal interference pattern and then using the temporal modulation of the scattered light as the signal for building up a synthetic aperture. The image is formed in the Fourier-transform plane of the synthetic aperture.

© 1977 Optical Society of America

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References

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  1. C. C. Aleksoff, “Synthetic interferometric imaging for moving objects,” Appl. Opt. 15, 1923 (1976).
    [Crossref] [PubMed]
  2. C. C. Aleksoff, “Fourier transform properties of polar formatted data,” Proc. Soc. Photo-Opt. Instrum. Eng. 52, 111 (1975).
  3. J. L. Walker, “Range-Doppler imaging of rotating objects,” PhD thesis, University of Michigan, 1974 (University Microfilms No. 75-10330).
  4. C. C. Aleksoff, C. R. Christenson, “Holographic Doppler imaging of rotating objects,” Appl. Opt. 14, 134 (1975).
    [PubMed]

1976 (1)

1975 (2)

C. C. Aleksoff, “Fourier transform properties of polar formatted data,” Proc. Soc. Photo-Opt. Instrum. Eng. 52, 111 (1975).

C. C. Aleksoff, C. R. Christenson, “Holographic Doppler imaging of rotating objects,” Appl. Opt. 14, 134 (1975).
[PubMed]

Aleksoff, C. C.

Christenson, C. R.

Walker, J. L.

J. L. Walker, “Range-Doppler imaging of rotating objects,” PhD thesis, University of Michigan, 1974 (University Microfilms No. 75-10330).

Appl. Opt. (2)

Proc. Soc. Photo-Opt. Instrum. Eng. (1)

C. C. Aleksoff, “Fourier transform properties of polar formatted data,” Proc. Soc. Photo-Opt. Instrum. Eng. 52, 111 (1975).

Other (1)

J. L. Walker, “Range-Doppler imaging of rotating objects,” PhD thesis, University of Michigan, 1974 (University Microfilms No. 75-10330).

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Figures (2)

Fig. 1
Fig. 1

Geometric configuration for an object rotating about the coordinate origin.

Fig. 2
Fig. 2

Pictures of the object; spherical balls making up the letter sigma. (a) A normal picture of the object illuminated with laser light. (b) A picture of the synthetic interferometric image.

Equations (7)

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I ( t ) = n = 1 N I n Z ( r n ) ,
Z ( r ) = cos ( 2 π F r cos θ ) ,
I ( t ) = n I n cos [ 2 π F r n cos ( Ω t + θ o n ) ] .
ρ = C F and ϕ = Ω t ,
I ( ρ , ϕ ) = H ( ρ , ϕ ) * ( A ( ρ , ϕ ) · { K + n I n cos [ 2 π C 1 r n ρ cos ( ϕ + θ o n ) ] } ) ,
A ( ρ , ϕ ) = 0 T δ ( ρ C F , ϕ Ω t ) d t .
E ( R , θ ) = h ( R , θ ) · ( a ( R , θ ) * { K δ ( R , θ ) + 2 n I n [ δ ( R C 1 r n , θ θ on ) + δ ( R C 1 r n , θ θ on + π ) ] } )

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