In this paper, a method is proposed to create a pair of one dimensional binary phase modulator matrices 1D-BPMs, which is mathematically equivalent to a single two-dimensional binary phase modulator matrix 2D-BPM based on Sylvester constructed Hadamard matrices. An advantage of 1D-BPM over 2D-BPM is that the number of drive electrodes can be reduced from $N^{2}$ to $2N$ for a $N\times N$ Hadamard phase matrix, thus simplifying the drive interconnects and drive electronics. 1D-BPM can be based on electro-optical material and hence can be driven electrically, which is an advantage over the 2D-BPM which is usually etched on a glass substrate and actuated mechanically to implement the speckle reduction in laser projectors. We have discussed the algorithm for constructing the pair of dynamic 1D-BPMs to replace the 2D-BPM. Preliminary experiments are performed to demonstrate the validity of our concept.

© 2012 IEEE

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