Publisher Summary This chapter discusses the fractional transformations in optics. The
chapter presents the fundamentals of the fractional Fourier transformation (FRT). A complete
signal description, simultaneously displaying space and frequency information, can be
achieved by the space-frequency Wigner distribution function (WDF). An application of the
FRT is related to signal multiplexing. Due to the ability of the FRT to rotate the Wigner chart,
the Wigner distribution of a signal may be arranged in a more efficient manner. The chapter …