Security enhancement of color image cryptosystem by optical interference principle and spiral phase encoding: erratum

Muhammad Rafiq Abuturab

doi:10.1364/AO.53.005064

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Muhammad Rafiq Abuturab, "Security enhancement of color image cryptosystem by optical interference principle and spiral phase encoding: erratum," Appl. Opt. 53, 5064-5064 (2014)

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Corrections to Eqs. (13) and (14), including the explanation, together with an explanation of Eqs. (11) and (12) in my recent publication [Appl. Opt. 52, 1555 (2013) [CrossRef] ], are presented in this erratum.

Regrettably, errors have been found in Eqs. (13) and (14), and further explanation is required for Eqs. (11) and (12) of the original paper [1], which are corrected in the following.

1. The explanation for Eqs. (11) and (12) is corrected as where $PT []$ represents the operator of phase truncation, which means amplitudes of the $S_{r_{1}} (x, y)$ and $S_{r_{2}} (x, y)$ are preserved while their phase parts are truncated.
2. Equations (13) and (14) are corrected and explained as $k_{r_{1}} (x, y) = AT ⌊ S_{r_{1}} (x, y) ⌋,$ $k_{r_{2}} (x, y) = AT ⌊ S_{r_{2}} (x, y) ⌋,$ where $AT []$ indicates the operator of amplitude truncation, which means the phase parts of $S_{r_{1}} (x, y)$ and $S_{r_{2}} (x, y)$ are preserved while their amplitudes are truncated. It is important to provide this erratum to avoid possible confusion.

Reference

1. M. R. Abuturab, “Security enhancement of color image cryptosystem by optical interference principle and spiral phase encoding,” Appl. Opt. 52, 1555–1563 (2013). [CrossRef]

Security enhancement of color image cryptosystem by optical interference principle and spiral phase encoding: erratum

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Applied Optics