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References

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  1. B. D. Duncan and M. P. Dierking, “Holographic aperture ladar,” Appl. Opt. 48, 1168–1177 (2009).
    [CrossRef]
  2. S. M. Venable, B. D. Duncan, M. P. Dierking, and D. J. Rabb, “Demonstrated resolution enhancement capability of a stripmap holographic aperture ladar system,” Appl. Opt. 51, 5531–5542 (2012).
    [CrossRef]

2012 (1)

S. M. Venable, B. D. Duncan, M. P. Dierking, and D. J. Rabb, “Demonstrated resolution enhancement capability of a stripmap holographic aperture ladar system,” Appl. Opt. 51, 5531–5542 (2012).
[CrossRef]

2009 (1)

B. D. Duncan and M. P. Dierking, “Holographic aperture ladar,” Appl. Opt. 48, 1168–1177 (2009).
[CrossRef]

Dierking, M. P.

S. M. Venable, B. D. Duncan, M. P. Dierking, and D. J. Rabb, “Demonstrated resolution enhancement capability of a stripmap holographic aperture ladar system,” Appl. Opt. 51, 5531–5542 (2012).
[CrossRef]

B. D. Duncan and M. P. Dierking, “Holographic aperture ladar,” Appl. Opt. 48, 1168–1177 (2009).
[CrossRef]

Duncan, B. D.

S. M. Venable, B. D. Duncan, M. P. Dierking, and D. J. Rabb, “Demonstrated resolution enhancement capability of a stripmap holographic aperture ladar system,” Appl. Opt. 51, 5531–5542 (2012).
[CrossRef]

B. D. Duncan and M. P. Dierking, “Holographic aperture ladar,” Appl. Opt. 48, 1168–1177 (2009).
[CrossRef]

Rabb, D. J.

S. M. Venable, B. D. Duncan, M. P. Dierking, and D. J. Rabb, “Demonstrated resolution enhancement capability of a stripmap holographic aperture ladar system,” Appl. Opt. 51, 5531–5542 (2012).
[CrossRef]

Venable, S. M.

S. M. Venable, B. D. Duncan, M. P. Dierking, and D. J. Rabb, “Demonstrated resolution enhancement capability of a stripmap holographic aperture ladar system,” Appl. Opt. 51, 5531–5542 (2012).
[CrossRef]

Appl. Opt. (2)

B. D. Duncan and M. P. Dierking, “Holographic aperture ladar,” Appl. Opt. 48, 1168–1177 (2009).
[CrossRef]

S. M. Venable, B. D. Duncan, M. P. Dierking, and D. J. Rabb, “Demonstrated resolution enhancement capability of a stripmap holographic aperture ladar system,” Appl. Opt. 51, 5531–5542 (2012).
[CrossRef]

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Figures (2)

Fig. 1.
Fig. 1.

HAL transformation geometry.

Fig. 2.
Fig. 2.

Example of the corrected spotlight HAL transformation applied to five sequentially collected phase-only field segments resulting from an off-axis point target. In this case, the RX aperture overlaps itself by half its diameter during each subsequent TX–RX cycle. Monostatic conditions apply.

Equations (12)

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g sp = C { f ( ξ , η ) exp ( j π λ R o [ ( ξ x T ) 2 + ( η y T ) 2 ] ) exp ( j 2 π λ R o [ ξ x T + η y T ] ) h R o ( ξ , η ) } ,
g sp = C { f ( ξ , η ) exp ( j π λ R o [ ξ 2 + η 2 ] ) exp ( j 2 π λ R o [ ξ x T + η y T ] ) h R o ( ξ , η ) } .
g sp ( x a ) = C f ( ξ ) exp ( j π λ R o ξ 2 ) exp ( j 2 π λ R o ξ x T ) exp ( j π λ R o ( x a ξ ) 2 ) d ξ = C exp ( j π λ R o x a 2 ) f ( ξ ) exp ( j 2 π λ R o ξ 2 ) exp ( j p ξ ) d ξ ,
= C exp ( j π λ R o x a 2 ) F ( x a + x T ) ,
p = 2 π λ R o ( x a + x T ) [ rad / m ] ,
g o ( x a ) = C exp ( j π λ R o x a 2 ) F ( x a ) .
g o ( x a + x T ) = C exp ( j π λ R o ( x a + x T ) 2 ) F ( x a + x T ) = [ C exp ( j π λ R o x a 2 ) F ( x a + x T ) ] exp ( j π λ R o x T 2 ) exp ( j 2 π λ R o x a x T ) = g sp ( x a ) exp ( j π λ R o x T 2 ) exp ( j 2 π λ R o x a x T ) ,
g o ( x a + x T , y a + y T ) = g sp ( x a , y a ) exp ( j π λ R o ( x T 2 + y T 2 ) ) exp ( j 2 π λ R o ( x a x T + y a y T ) ) .
g p sp ( x a ) = C exp ( j 2 π λ R o [ x a 2 2 + ξ p 2 ξ p ( x a + x T ) ] ) ,
g p o ( x a ) = C exp ( j 2 π λ R o [ x a 2 2 + ξ p 2 ξ p x a ] ) .
D eff sp = 2 D SAR + D ap ,
ISR sp = D eff sp D ap = 2 D SAR D ap + 1 = N ,

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