Ukrainian Journal of Physical Optics 

Number  1, Volume  2, March  2001

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Binary phase elements: optical and statistical properties 
Shovgenyk M.V., Krokhmalskii T.Ye., Kozlovskii M.P.

Institute for Condensed Matter Physics of the National Academy of Sciences of Ukraine 1 Svientsitskii Str. 79011, Lviv, Ukraine.

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The optical properties of binary phase elements (BPE) are described by using the method of coordinate-frequency distribution of signals. The analytical expressions for the autocorrelation function and the Wiener spectrum of the BPE spatial frequencies are obtained. On their basis the generalized optical parameter for a quantitative estimation of the level of optical noise and the fluctuation of the intensity of the Wiener spectrum interference is calculated. A statistical description of the phase elements is suggested, on the basis of wich the parameter of non-orthogonality is introduced. It characterizes the binary phase distribution for the classes of orthogonal, quasi-orthogonal and random phase elements. A diagram representation (optical parameter vs non-orthogonality parameter) for the description of the classes of orthogonal, quasi-orthogonal and random phase elements is introduced.

Key words: image processing, phase masks, signal/noise ratio

doi 10.3116/16091833/2/1/1/2001

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