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References

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  1. R. Barakat and A. Houston, J. Opt. Soc. Am. 55, 1132 (1965).
    [Crossref]

1965 (1)

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Figures (3)

Fig. 1
Fig. 1

Distribution of illuminance in a bar target of half-width v0 = 2 in the Fraunhofer receiving plane in the presence of one wave of third-order coma (W131 = 1λ) in the azimuths: ——ϕ = 0°, – – – ϕ = 45°, — · — ϕ = 90°. The heavy broken line represents the object when imaged through an aberration-free system.

Fig. 2
Fig. 2

Distribution of illuminance in a bar target of half-width v0 = 4 in the Fraunhofer receiving plane in the presence of one wave of third-order coma (W131 = 1λ) in the azimuths: ——ϕ = 0°, – – – ϕ = 45°, — · — ϕ = 90°. The heavy broken line represents the object when imaged through an aberration-free system.

Fig. 3
Fig. 3

Distribution of illuminance in a bar target of half-width v0 = 6 in the Fraunhofer receiving plane in the presence of one wave of third-order coma (W131 = 1λ) in the azimuths: —— ϕ = 0°, – – – ϕ = 45°, – · – ϕ = 90°. The heavy broken line represents the object when imaged through an aberration-free system.

Equations (8)

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o ( v ) = 0 - < v < - v 0 , 1 - v 0 < v < v 0 , 0 v 0 < v < ,
O ( ω ) = - e i ω v o ( v ) d v = 2 sin v 0 ω ω .
I ( ω ) = O ( ω ) T ( ω , ϕ ) ,
T ( ω , ϕ ) = T r ( ω , ϕ ) + i T i ( ω , ϕ ) ,
i ( v ) = C 1 - 2 2 sin v 0 ω ω T ( ω , ϕ ) e i v ω d ω ,
i ( v ) = C 2 0 2 [ T r ( ω , ϕ ) cos v ω - T i ( ω , ϕ ) sin v ω ] sin v 0 ω ω d ω ,
i ( v ) = C 2 0 2 T ( ω ) cos v ω sin v 0 ω ω d ω .
i ( v ) C 2 v 0 0 2 [ T r ( ω , ϕ ) cos v ω - T i ( ω , ϕ ) sin v ω ] d ω .