Single shot high resolution digital holography: Erratum

Kedar Khare; P. T. Samsheer Ali; Joby Joseph

doi:10.1364/OE.21.005634

Abstract

We report and correct a couple of notation errors in our article. The superscript denoting the n-th guess solution in our iterative scheme is missing in two equations in the final published paper.

Some notation errors appeared in [1] and the correct forms are given below for the record.

(i) Eq. (6) and the sentence after it should read as: $O^{(n + 1)} = G \otimes {O^{(n)} + t [H - (| O^{(n)} |^{2} + | R |^{2} + O^{(n)} R * + O^{(n)} * R)] . (O^{(n)} + R)} .$

We observe that the effect of every L2-error iteration (the part in the curly braces in Eq. (6)) is to add a term proportional to the error_{_{$[H - (| O^{(n)} |^{2} + | R |^{2} + O^{(n)} R * + O^{(n)} * R)]$}} multiplied by _{_{$(O^{(n)} + R)$}}to the previous guess solution.

(ii) Eq. (8) should read as: $O^{(n + 1)} = O^{(n)} + t [H - (| O^{(n)} |^{2} + | R |^{2} + O^{(n)} R * + O^{(n)} * R)] . (O^{(n)} + R) .$

References and links

1. K. Khare, P. T. S. Ali, and J. Joseph, “Single shot high resolution digital holography,” Opt. Express 21(3), 2581–2591 (2013). [CrossRef]

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Equations (2)

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O^{(n + 1)} = G \otimes {O^{(n)} + t [H - (| O^{(n)} |^{2} + | R |^{2} + O^{(n)} R * + O^{(n)} * R)] . (O^{(n)} + R)} .

O^{(n + 1)} = O^{(n)} + t [H - (| O^{(n)} |^{2} + | R |^{2} + O^{(n)} R * + O^{(n)} * R)] . (O^{(n)} + R) .

Abstract

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