Key points are not available for this paper at this time.
It is shown for the case of a discrete sample that an arbitrary transformation can be realized by an optical system composed of a single holographic lens. The design of the amplitude and phase distribution of the single holographic lens for the purpose of realizing a given transformation is given. The amplitude and phase distribution of the holographic lens for realizing the 8-sequence Walsh transformation of three different orderings are obtained.
Guo-Zhen Yang (1981) studied this question.