Abstract

A theoretical analysis of the power spectra of diffusers with a series of pseudorandom phase sequences is presented. General equations describing three typical cases of power spectra are derived by making use of the constraints assumed. Profiles of the power spectra showed good agreement with the results of numerical computation using the fast-Fourier-transform algorithm. The images of the diffusers through a double-diffraction optical system were also evaluated by computer simulation. The advantage of pseudorandom phase sequences over random phase sequences is discussed from the viewpoint of signal-to-noise ratio.

© 1979 Optical Society of America

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  1. C. B. Burkhardt, "Use of a Random Phase Mask for the Recording of Fourier Transform Holograms of Data Masks," Appl. Opt. 9, 695–700 (1970).
  2. Y. Takeda, "Random Phase Sifters for Fourier Transformed Holograms," Appl. Opt. 11, 818–822 (1972).
  3. W. J. Dallas, "Deterministic Diffusers for Holography," Appl. Opt. 12, 1179–1187 (1973).
  4. S. Yonezawa, "A Deterministic Phase Shifter for Holographic Memory Devices," Opt. Commun. 19, 370–373 (1976).
  5. Y. Torii, "Synthesis of Deterministic Phase Codes for Phase Shifter in Holography," Opt. Commun. 24, 157–180 (1978).
  6. M. Kato, Y. Nakayama, and T. Suzuki, "Speckle Reduction in Holography with a Spatially Incoherent Source," Appl. Opt. 14, 1093–1099 (1975).
  7. I. Sato, and M. Kato, "Speckle-Noise Simulation of Fourier-Transform Holography with Random Phase Sequence," J. Opt. Soc. Am. 65, 856–857 (1975).
  8. M. Kato, I. Sato, and Y. Nakayama, "Speckle Reduction Processing in Holography," Proceedings of the Tenth Congress of the International Commission for Optics, Palacky University, Olomouc Czech Technical University, Prague, August 25–29, 1975.
  9. J. W. Goodman, Introduction to Fourier Optics, (McGraw-Hill, New York, 1968), p. 13.

1978 (1)

Y. Torii, "Synthesis of Deterministic Phase Codes for Phase Shifter in Holography," Opt. Commun. 24, 157–180 (1978).

1976 (1)

S. Yonezawa, "A Deterministic Phase Shifter for Holographic Memory Devices," Opt. Commun. 19, 370–373 (1976).

1975 (2)

1973 (1)

1972 (1)

1970 (1)

Burkhardt, C. B.

Dallas, W. J.

Goodman, J. W.

J. W. Goodman, Introduction to Fourier Optics, (McGraw-Hill, New York, 1968), p. 13.

Kato, M.

M. Kato, Y. Nakayama, and T. Suzuki, "Speckle Reduction in Holography with a Spatially Incoherent Source," Appl. Opt. 14, 1093–1099 (1975).

I. Sato, and M. Kato, "Speckle-Noise Simulation of Fourier-Transform Holography with Random Phase Sequence," J. Opt. Soc. Am. 65, 856–857 (1975).

M. Kato, I. Sato, and Y. Nakayama, "Speckle Reduction Processing in Holography," Proceedings of the Tenth Congress of the International Commission for Optics, Palacky University, Olomouc Czech Technical University, Prague, August 25–29, 1975.

Nakayama, Y.

M. Kato, Y. Nakayama, and T. Suzuki, "Speckle Reduction in Holography with a Spatially Incoherent Source," Appl. Opt. 14, 1093–1099 (1975).

M. Kato, I. Sato, and Y. Nakayama, "Speckle Reduction Processing in Holography," Proceedings of the Tenth Congress of the International Commission for Optics, Palacky University, Olomouc Czech Technical University, Prague, August 25–29, 1975.

Sato, I.

I. Sato, and M. Kato, "Speckle-Noise Simulation of Fourier-Transform Holography with Random Phase Sequence," J. Opt. Soc. Am. 65, 856–857 (1975).

M. Kato, I. Sato, and Y. Nakayama, "Speckle Reduction Processing in Holography," Proceedings of the Tenth Congress of the International Commission for Optics, Palacky University, Olomouc Czech Technical University, Prague, August 25–29, 1975.

Suzuki, T.

Takeda, Y.

Torii, Y.

Y. Torii, "Synthesis of Deterministic Phase Codes for Phase Shifter in Holography," Opt. Commun. 24, 157–180 (1978).

Yonezawa, S.

S. Yonezawa, "A Deterministic Phase Shifter for Holographic Memory Devices," Opt. Commun. 19, 370–373 (1976).

Appl. Opt. (4)

J. Opt. Soc. Am. (1)

Opt. Commun. (2)

S. Yonezawa, "A Deterministic Phase Shifter for Holographic Memory Devices," Opt. Commun. 19, 370–373 (1976).

Y. Torii, "Synthesis of Deterministic Phase Codes for Phase Shifter in Holography," Opt. Commun. 24, 157–180 (1978).

Other (2)

M. Kato, I. Sato, and Y. Nakayama, "Speckle Reduction Processing in Holography," Proceedings of the Tenth Congress of the International Commission for Optics, Palacky University, Olomouc Czech Technical University, Prague, August 25–29, 1975.

J. W. Goodman, Introduction to Fourier Optics, (McGraw-Hill, New York, 1968), p. 13.

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