## Abstract

In our recently published article [J. Opt. Soc. Am. A 33, 9 (2016) [CrossRef]  ], there was an error of reasoning that changes some of the results and conclusions, although the key message of the article remains unaltered. We correct these errors in the present erratum.

© 2016 Optical Society of America

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### Cited By

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### Figures (1)

Fig. 1. Square root of the contrast as a function $‖ Δ s ‖$ for the different imaging configurations in the presence of type 1 noise and type 2 noise. $Δ S 0 = 1$, $( η τ 0 / σ ) 2 = 1$, and $η 2 τ 0 / a = 1$.

### Tables (1)

Table 1. Summary of the Contrast Values for Noises of Type 1 and Type 2 and Different Imaging Configurations: Adaptive Imager (ada), Total Contrast of the Static Imager (sta), Worst Contrast of the Best Channel of the Static Imager for Exposure Time $τ = τ 0 / 4$ (best1), and $τ = τ 0$ (best1, $τ 0$)a

### Equations (6)

$t 1 = [ 1 1 1 ] T / 3 t 1 = [ − 1 − 1 1 ] T / 3 t 1 = [ − 1 1 − 1 ] T / 3 t 1 = [ 1 − 1 − 1 ] T / 3 .$
$[ C sta best 1 ] t 1 = 1 128 ( η τ 0 σ ) 2 F ( | Δ S 0 | , ‖ Δ s ‖ ) ,$
$[ C sta best 1 ] t 2 = 1 32 η 2 τ 0 a F ( | Δ S 0 | , ‖ Δ s ‖ ) ,$
$F ( | Δ S 0 | , ‖ Δ s ‖ ) = { ( | Δ S 0 | + ‖ Δ s ‖ 2 3 − 2 [ Δ S 0 ] 2 ) 2 if | Δ S 0 | ≤ ‖ Δ s ‖ 3 ( | Δ S 0 | + ‖ Δ s ‖ 3 ) 2 otherwise .$
$[ C sta best 1 , τ 0 ] t 1 = 1 8 ( η τ 0 σ ) 2 F ( | Δ S 0 | , ‖ Δ s ‖ ) ,$
$[ C sta best 1 , τ 0 ] t 2 = 1 8 η 2 τ 0 a F ( | Δ S 0 | , ‖ Δ s ‖ ) .$