Error-corrective optical neural networks modelled by persistent spectral hole-burning

Ollikainen, O.; Rebane, Aleksander; Rebane, K. K.

doi:10.1007/bf00444331

Cited by 10 publications

(4 citation statements)

References 15 publications

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“…According to basic Fourier theorem, any change made in the frequency-domain transmission of the PSHB medium leads to a corresponding change in the time-domain impulse response of the sample. This kind of direct relation, which often exists in coherent optics between frequency and time coordinates, can be used as an alternative approach for burning and detection of spectral holes. ,− Two different kinds of experiments on time-domain PSHB have been demonstrated so far. In the first case, both the burning procedure and the detection procedure are performed by using short laser pulses.…”

Section: Persistent Spectral Hole Burningmentioning

confidence: 99%

“…Parallel read−write and associative recall are particularly instrumental for content-dependent retrieval of information from large databases. SHB has been used to demonstrate error-corrective and associative recall of time-and-space-domain events. , Time-domain associative recall is possible as long as coherently excited molecules retain the information about the phase of the quantum mechanical wave function. The last circumstance may prove useful in the context of quantum computing, which was also originally proposed to overcome intrinsic limitations of electronics and to improve parallel algorithms.…”

Section: Introductionmentioning

confidence: 99%

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Multidimensional Holography by Persistent Spectral Hole Burning

2002

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Persistent spectral hole burning (PSHB) in organic molecules doped in a polymer matrix at low temperatures allows optical recording of information in the dimensions of frequency and time, as well as in space and externally applied electric field. We use this special property to demonstrate new types of holograms, which extend conventional spatial-domain optical data storage into the new dimensions. Basic aspects of recording and playback of holograms by persistent spectral hole burning, including relation between frequency- and time-domain response function, is discussed. This paper is elucidating inherent relations between the time- and frequency-domain versions of PSHB holography. We show that by multiplexing holograms in the frequency dimension, we can store a large number (up to 12 000) of image holograms using a single spectral hole burning sample. In the time domain, we show storage and reproduction of ultrashort time-space images on the scale of 10-12−10-13 s. Experiments demonstrating unusual hologram properties, such as causality-related asymmetry of diffraction, inversion of time coordinate, and ultrafast processing, are presented.

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Section: Persistent Spectral Hole Burningmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Multidimensional Holography by Persistent Spectral Hole Burning

2002

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“…This property of time-domain associative recall was discussed earlier by Longuet-Higgins [33] and Gabor [34], who also pointed out the analogy to human memory. A digital version of associative PSHB memory was studied in [35]. In these papers it was shown that a specially prepared SHB-hologram can serve as a multidimensional optical interconnection element (so-called memory matrix) in a Hopfield-type error-corrective optical neural network scheme.…”

Section: S T X Y S Smentioning

confidence: 99%

Causality and associative holography of time-and-space domain events

Rebane¹

2014

Laser Phys.

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We consider reference-free associative recall of time-and-space domain holograms of arbitrary non-stationary optical object amplitudes or events. We show that if the probe fragment correlates with the recorded event either in space or in time coordinates or in both, then the hologram faithfully reproduces those missing parts (sub-events) that occur simultaneously or later in time with respect to the probe fragment. However, if a missing sub-event occurred before the fragment used as associative probe, then the hologram will not play this information back due to the time arrow imposed by causality.

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“…6, 24 and 25, and references therein) modeling of neural networks based on PSHB is considered. 31 In ref. 34, the promises of quantum computing are compared to what is already done in PSHB holography.…”

Section: Time-and-space-domain Holographymentioning

confidence: 99%

Purely electronic zero-phonon lines in optical data storage and processing

Rebane

2005

Phys. Chem. Chem. Phys.

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Spectroscopies of matrix isolated species and impurity activated solids are close relatives. Both are among the well developing chapters of solid state spectroscopy and optics. In this paper I am trying to give very brief overview what has been achieved in science and applications of impurity activated solids based on zero-phonon lines (ZPLs) in optical data storage and processing. I would like to show that the latter comprises via persistent spectral hole burning time-and-space domain holography in a certain meaning also the "stopping of light". ZPLs are beginning to play a role in the approaches to optical quantum computing.

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Error-corrective optical neural networks modelled by persistent spectral hole-burning

Cited by 10 publications

References 15 publications

Multidimensional Holography by Persistent Spectral Hole Burning

Multidimensional Holography by Persistent Spectral Hole Burning

Causality and associative holography of time-and-space domain events

Purely electronic zero-phonon lines in optical data storage and processing

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