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 Encrypted holographic data storage based on orthogonal phase code multiplexing

Details
Inventors: Heanue, John F.; Bashaw, Matthew C.; Hesselink, Lambertus;
Assignee: The Board of Trustees of the Leland Stanford Junior University (Stanford, CA)
Primary Examiner: Cain; David C.
Assistant Examiner:
Attorney, Agent or Firm: Lumen Intellectual Property Services

An encryption method and apparatus for holographic data storage are disclosed. In a system using orthogonal phase-code multiplexing, data is encrypted by modulating the reference beam using an encryption key K represented by a unitary operator. In practice, the encryption key K corresponds to a diffuser or other phase-modulating element placed in the reference beam path, or to shuffling the correspondence between the codes of an orthogonal phase function and the corresponding pixels of a phase spatial light modulator. Because of the lack of Bragg selectivity in the vertical direction, the phase functions used for phase-code multiplexing are preferably one dimensional. Such phase functions can be one-dimensional Walsh functions. The encryption method preserves the orthogonality of reference beams, and thus does not lead to a degradation in crosstalk performance.

DETAILED DESCRIPTION In a method of the present invention, a data page S.
sub.
m is stored using a reference beam R.
sub.
m whose wavefront is modulated using a phase function W.
sub.
m and an encryption key K.
A second page S.
sub.
m+v is then stored using a reference beams R.
sub.
m+v whose wavefront is modulated using a second phase function W.
sub.
m+v and the encryption key K.
The encryption key K specifies phase delays added to components of the reference beams.
It is preferred, for crosstalk considerations, that W.
sub.
m and W.
sub.
m+v be orthogonal functions, and that the encryption key K not destroy the orthogonality of the reference beams.
It is also preferred that W.
sub.
m correspond to an array of pixel rows, where adjacent rows are separated by an angular separation larger than the vertical angular bandwidth of the signal beam.
Preferably, W.
sub.
m and W.
sub.
m+v are orthogonal Walsh functions.
In a preferred embodiment, K is represented by a device such as a difusser, i.
e.
a device capable on imparting uncorrelated phase delays on parts of a reference beam.
In another preferred embodiment, K represents a set of phase delays imparted on parts of a reference beam by the same spatial light modulator used to generate the orthogonal phase functions.



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