Abstract:
A hologram can act as a matched spatial filter, i.e. as a correlator of two wavefronts. Correlation between the wavefront stored in the hologram and the incident wavefront is displayed as a two dimensional spatial distribution in the correlation plane. If a matched filter is produced for one of the modes of an open optical resonator, it can discriminate against all the other orthogonal modes. Theory and experimental results for matched spatial filters for the modes of a spherical Fabry-Perot interferometer (SFP1) are described. Effects of matched filtering of scanning SFP1 are shown. Experimental cross-correlation and autocorrelation functions for circularly symmetric and for rectangular modes are also shown. Fourier transform, convolution, and correlation characteristics of modes are tabulated
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