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44 OPTOINFORMATICS’05 ABOUT SIMILARITY OF THE VOLUME SUPERPOSED HOLOGRAMS TO THE HUMAN MEMORY V.V.ORLOV Vavilov Optical Institute, State Scientific Center <strong>of</strong> Russian Federation, St.Petersburg, 190164, Russia E-mail: orlov@soi.spb.su It is suggestion in the psychology that the shapes stored in the human memory form the groups which have the property <strong>of</strong> completeness and that few shapes have some new information which is not contained in the separate shapes. In our report we showed, that the same property has the hologram if the information was recoded into it by the method, which remove the cross-talk. It is already early in the development <strong>of</strong> holography similarity was noted <strong>of</strong> the properties <strong>of</strong> the hologram and the human memory. Both the hologram and the human memory have properties <strong>of</strong> associativity and distributivity. In this case associativity means ability to restore all shape by it small part, distributivity means that the information about shape are distributed on all hologram volume, correspondingly brain, but is not concentrated in their small part. If it assumes that the processes in brain have the wave nature and similar to the processes in holography then this similarity in the first place treated to the superposed holograms. Indeed, shapes in the brain as the superposed holograms superposed in the space as they occupy the same volume <strong>of</strong> the brain. Information recording density <strong>of</strong> superposed holograms a lot more one when each hologram recorded in separate place. Investigation <strong>of</strong> the volume superposed holograms showed that they have cross-talk caused by multiple wave diffraction [1] . Intensity <strong>of</strong> this cross-talk is lowered efficiently if hologram object waves are mutually orthogonal. The cross-talk are absent if the holograms object waves are described by unitary matrix. For this goal the random initial matrix, which describe the information, is completed to the unitary matrix by adding rows and columns [2] . Each row <strong>of</strong> the matrix describes one <strong>of</strong> the object waves <strong>of</strong> the holograms. Shapes stored in the brain correspond to the object waves <strong>of</strong> the superposed hologram. For decreasing the holograms cross-talk their object waves should be made mutually orthogonal by adding new components, which complex amplitudes are chose from the mutually orthogonality condition. This property <strong>of</strong> the superposed holograms correspond to the concept <strong>of</strong> the gestalt psychology that the few shapes have some new information, which is not contained in the separate shapes [3,4] . The new information in the brain correspond to the information in the additional components <strong>of</strong> the object waves. Representation <strong>of</strong> the information recorded in the holograms in form <strong>of</strong> the unitary matrix correspond to the concept <strong>of</strong> the gestalt psychology that shapes in memory to form groups which have the property <strong>of</strong> completeness [3,4] . The completeness means that none <strong>of</strong> form can be removed from group or add to group. This corresponds to the property <strong>of</strong> completeness <strong>of</strong> the unitary matrix <strong>of</strong> the object waves in holography. Additional information needed in the holography for getting mutual orthogonal waves and in the end the unitary matrix <strong>of</strong> the object waves correspond in psychology the information arising as a result <strong>of</strong> higher forms <strong>of</strong> psychological activity, in particular the intellectual activity. This information completes that parts <strong>of</strong> the shapes, which formed on the base <strong>of</strong> the sensory sensation <strong>of</strong> the man. Beside that, this information is used to form shapes which do not contain information obtained from the organs <strong>of</strong> sense <strong>of</strong> the man. For
SAINT-PETERSBURG, October 17 – 20, 2005 45 example, mathematicians use the shapes <strong>of</strong> purely intellectual origin in their work. These shapes correspond to recording the new superposed holograms, which object waves complete the initial matrix to the unitary matrix by adding new rows. It is essential, that the infinite number <strong>of</strong> the unitary matrixes <strong>of</strong> the one order can be obtained from one initial matrix. This non-uniqueness <strong>of</strong> the unitary matrix creation in holography correspond in psychology that different people in identical conditions getting the same information from their organs <strong>of</strong> sense perceive these conditions to a certain degree differently, depending on their individual peculiarity. SUMMARY It was established that the properties <strong>of</strong> the superposed holograms correspond to the properties <strong>of</strong> human brain to store shapes in form <strong>of</strong> the complete group and property <strong>of</strong> the group <strong>of</strong> shapes to have some new information, which is not contained in the separate shapes. 1. Orlov V.V. Mode Theory <strong>of</strong> Three-Dimensional Holograms: III. Holograms Crosstalk //Optics and Spectroscopy. Vol. 92 No. 6 2002. pp 948-955. Translated from Optica i Spektroskopiya Vol. 92. No. 6. pp. 1024-1032. (2002). 2. Орлов В.В. Метод записи информации на объёмных наложенных голограммах, обеспечивающий считывание информации без искажений и ассоциативных помех. // Письма в ЖТФ. Том 18. вып. 14. с.23-25. (1992) (Translated to English as “Technical Physics Letters”). 3. Вертгеймер М. Продуктивное мышление. М. С.336 (1987). (Wertheimer Max. Productive Thinking. Happer & Brothers Publishers, New York). 4. Ребер Артур. Большой толковый психологический словарь. М. Вече. (2000) (Arthur S. Reber. The Penguin Dictionary <strong>of</strong> Psychology).
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