Boolean algebra operations performed on optical bits by the generation of holographic fields through second-order nonlinear interactions

Abstract

Measurements of second-order susceptibility at λ=1.5 μm in CdTe-based ternary alloys for efficient wavelength conversion Boolean algebra operations such as AND or XOR are performed on optical bits encoded as amplitude modulations in two wave fronts that are made interact in a crystal (␤-BaB 2 O 4 ) endowed with second-order nonlinearity. If the corresponding wave fields are at the same frequency and the crystal is tuned for the phase-matched generation of 2, we show that the generated wave front reconstructs a holographic image containing the outputs of the desired operations. Since a nearly diffraction-limited optical resolution can be easily achieved in the holographic image at 2, a correspondingly high density of data is encodeable in the wave front at playing the role of object wave front. The experiments demonstrate the feasibility of the operation of a parallel half-adder performing the sum of multiple data with a one-digit binary number, which is encoded in the reference wave front.

Dynamic volume holography and optical information processing by Raman scattering

“…(Applying the same technique to 3D pulses, one can perform logical operations on 3D arrays simultaneously, which represents an additional advantage of DVH in comparison with the conventional dynamic holography, where only 2D arrays can be processed at the same time [7,8]. )…”

“…ÔLogical notÕ (:) for optical pulses is also possible with nonlinear DVH, despite it represents a significant challenge for linear holography [7], where the amplitudes of the recorded and the retrieved signals are proportional to the amplitudes of the reference pulses. This operation can be performed by recording an identical unit into the hologram and scanning it with a data bit stored in the reference pulse with rec ¼ p=2 (binary unit) or ret ¼ 0 (binary zero).…”

“…The invention of dynamic holography made high-speed processing of optical information possible and was employed in applications such as ''real-time'' image processing, optical computing, as well as optical mass storage and wavefront reversal [6]. In recent years these applications have stimulated research on materials with dynamic holographic capabilities, which is useful for increasing the degree of parallelism in manipulating optical data; multiplexing techniques, which are also useful in increasing storage capacity, have been devised [7].…”

“…Dynamic holography allows not only storing and reading optical information from a nonlinear medium, but also processing optical information in a number of ways while recording and retrieving light pulses (see, e.g., [6][7][8]). In addition to those, higher flexibility of DVH allows more advanced processing of optical signals.…”

Implementation of 1-Bit Random Access Memory Cell in All-Optical Domain with Non-linear Material

“…Last few years have witnessed an enhanced weight in optical communication [3][4] and computing [5] due to some important advancement, namely, the development of laser, optical fiber and novel materials that exhibit high nonlinearities [1,[5][6][7][8][9][10][11][12]. These developments of optics offer tremendous scope to overcome the obstacle to implement various arithmetic [2,[7][8], logic [9][10][11][12][13][14][18][19][20], algebraic [15] and image operations [16] in all-optical domain successfully. The advent of non-linear optical material based all-optical switching mechanism [1, 5-12, 18, 25] has opened exciting new possibilities for improvement of several new all-optical components of terahertz all-optical computer, our dream goal.…”