Optical Haar Wavelet Transforms with Liquid Crystal Elements.

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  • He Zhan
    Department of Electrical and Electronic Engineering, Akita University, 1–1 Tegatagakuen–cho, Akita 010, Japan
  • Honma Michinori
    Department of Electrical and Electronic Engineering, Akita University, 1–1 Tegatagakuen–cho, Akita 010, Japan
  • Masuda Shin
    Advantest Laboratories, Ltd., 48–2 Matsubara, Kamiayashi, Aoba–ku, Sendai 989–31, Japan
  • Nose Toshiaki
    Department of Electrical and Electronic Engineering, Akita University, 1–1 Tegatagakuen–cho, Akita 010, Japan
  • Sato Susumu
    Department of Electrical and Electronic Engineering, Akita University, 1–1 Tegatagakuen–cho, Akita 010, Japan

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Optical Haar wavelet transforms are achieved with liquid crystal (LC) elements: patterned-electrode liquid crystal cells serve as generators of optical Haar wavelets, and LC microlens arrays are used in the fabrication of shadow-casting systems. The phase modulation characteristics of the patterned electrode LC cells are investigated by applying a voltage, and the 1-dimension, 2-dimension rectangular and circular Haar wavelets are obtained by adjusting the voltage applied to the LC cells. A shadow-casting system composed of a LC microlens array is proposed. Due to the variability of the focal length of the LC microlens, good optical wavelet transforms can be achieved readily.

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