Abstract

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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  1. J. W. Goodman, "Some fundamental properties of speckle," Opt. Soc. J. 66, 1145-1149 (1976).
  2. N. George, A. Jain, "Speckle reduction using multiple tones of illumination," Appl. Opt. J. 12, 1202-1212 (1973).
  3. S. C. Shin, S. S. Yoo, S. Y. Lee, C. Y. Park, S. Y. Park, J. W. Kwon, S. G. Lee, "Removal of hot spot speckle on laser projection screen using both the running screen and the rotating diffuser," Displays, J. 27–3, 91-96 (2006).
  4. J. I. Trisnadi, "Hadamard speckle contrast reduction," Opt. Lett. J. 29–1, 11-13 (2004).
  5. J. I. Trisnadi, "Speckle contrast reduction in laser projection displays," Proc. SPIE Conf. Projection Display VIII (2002) pp. 131-137.
  6. J. I. Trisnadi, C. B. Carlisle, R. Monteverde, "Overview and applications of grating light valve based optical write engines for high-speed digital imaging," Proc. SPIE Conf. MOEMS Display and Imaging Syst. II (2004) pp. 52-64.
  7. V. Yurlov, A. Lapchuk, S. Yun, J. Song, I. Yeo, H. Yang, S. An, "Speckle suppression in scanning laser displays: Aberration and defocusing of the projection system," Appl. Opt. J. 48–1, 80-90 (2009).
  8. V. Yurlov, A. Lapchuk, S. Yun, J. Song, H. Yang, "Speckle suppression in scanning laser display," Appl. Opt. J. 47–2, 179-187 (2008).
  9. M. N. Akram, V. Kartashov, Z. Tong, "Speckle reduction in line-scan laser projectors using binary phase codes," Opt. Lett. J. 35, 3-3 (2010).
  10. M. N. Akram, Z. Tong, G. Ouyang, X. Chen, V. Kartashov, "Laser speckle reduction due to spatial and angular diversity introduced by fast scanning micro-mirror," Appl. Opt. J. 49, 19-19 (2010).
  11. K. J. Hordam, Hadamard Matrix and Their Application (Princeton Univ. Press, 2007).
  12. T. Fujii, T. Suzuki, T. Fujimori, Y. Nakamura, T. Moriwake, M. Takasu, "Development of (Pb,La)(Zr,Ti)O-3 electro-optic thin film for high-speed spatial light modulator," Jpn. J. Appl. Phys. J. 45–9B, 7520-7524 (2006).

2010 (2)

M. N. Akram, V. Kartashov, Z. Tong, "Speckle reduction in line-scan laser projectors using binary phase codes," Opt. Lett. J. 35, 3-3 (2010).

M. N. Akram, Z. Tong, G. Ouyang, X. Chen, V. Kartashov, "Laser speckle reduction due to spatial and angular diversity introduced by fast scanning micro-mirror," Appl. Opt. J. 49, 19-19 (2010).

2009 (1)

V. Yurlov, A. Lapchuk, S. Yun, J. Song, I. Yeo, H. Yang, S. An, "Speckle suppression in scanning laser displays: Aberration and defocusing of the projection system," Appl. Opt. J. 48–1, 80-90 (2009).

2008 (1)

V. Yurlov, A. Lapchuk, S. Yun, J. Song, H. Yang, "Speckle suppression in scanning laser display," Appl. Opt. J. 47–2, 179-187 (2008).

2006 (2)

T. Fujii, T. Suzuki, T. Fujimori, Y. Nakamura, T. Moriwake, M. Takasu, "Development of (Pb,La)(Zr,Ti)O-3 electro-optic thin film for high-speed spatial light modulator," Jpn. J. Appl. Phys. J. 45–9B, 7520-7524 (2006).

S. C. Shin, S. S. Yoo, S. Y. Lee, C. Y. Park, S. Y. Park, J. W. Kwon, S. G. Lee, "Removal of hot spot speckle on laser projection screen using both the running screen and the rotating diffuser," Displays, J. 27–3, 91-96 (2006).

2004 (1)

J. I. Trisnadi, "Hadamard speckle contrast reduction," Opt. Lett. J. 29–1, 11-13 (2004).

1976 (1)

J. W. Goodman, "Some fundamental properties of speckle," Opt. Soc. J. 66, 1145-1149 (1976).

1973 (1)

N. George, A. Jain, "Speckle reduction using multiple tones of illumination," Appl. Opt. J. 12, 1202-1212 (1973).

Appl. Opt. J. (1)

M. N. Akram, Z. Tong, G. Ouyang, X. Chen, V. Kartashov, "Laser speckle reduction due to spatial and angular diversity introduced by fast scanning micro-mirror," Appl. Opt. J. 49, 19-19 (2010).

Appl. Opt. J. (3)

V. Yurlov, A. Lapchuk, S. Yun, J. Song, I. Yeo, H. Yang, S. An, "Speckle suppression in scanning laser displays: Aberration and defocusing of the projection system," Appl. Opt. J. 48–1, 80-90 (2009).

V. Yurlov, A. Lapchuk, S. Yun, J. Song, H. Yang, "Speckle suppression in scanning laser display," Appl. Opt. J. 47–2, 179-187 (2008).

N. George, A. Jain, "Speckle reduction using multiple tones of illumination," Appl. Opt. J. 12, 1202-1212 (1973).

Displays, J. (1)

S. C. Shin, S. S. Yoo, S. Y. Lee, C. Y. Park, S. Y. Park, J. W. Kwon, S. G. Lee, "Removal of hot spot speckle on laser projection screen using both the running screen and the rotating diffuser," Displays, J. 27–3, 91-96 (2006).

Jpn. J. Appl. Phys. J. (1)

T. Fujii, T. Suzuki, T. Fujimori, Y. Nakamura, T. Moriwake, M. Takasu, "Development of (Pb,La)(Zr,Ti)O-3 electro-optic thin film for high-speed spatial light modulator," Jpn. J. Appl. Phys. J. 45–9B, 7520-7524 (2006).

Opt. Lett. J. (2)

J. I. Trisnadi, "Hadamard speckle contrast reduction," Opt. Lett. J. 29–1, 11-13 (2004).

M. N. Akram, V. Kartashov, Z. Tong, "Speckle reduction in line-scan laser projectors using binary phase codes," Opt. Lett. J. 35, 3-3 (2010).

Opt. Soc. J. (1)

J. W. Goodman, "Some fundamental properties of speckle," Opt. Soc. J. 66, 1145-1149 (1976).

Other (3)

K. J. Hordam, Hadamard Matrix and Their Application (Princeton Univ. Press, 2007).

J. I. Trisnadi, "Speckle contrast reduction in laser projection displays," Proc. SPIE Conf. Projection Display VIII (2002) pp. 131-137.

J. I. Trisnadi, C. B. Carlisle, R. Monteverde, "Overview and applications of grating light valve based optical write engines for high-speed digital imaging," Proc. SPIE Conf. MOEMS Display and Imaging Syst. II (2004) pp. 52-64.

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