Abstract: An optical attenuator (104) includes a substrate (116), an attenuation layer (120), and a pair of electrodes (124). The substrate (116) is transparent with respect to a range of light wavelengths. The attenuation layer (120) is formed on the substrate (116) and includes a strongly-correlated material. An optical transmissivity of the strongly-correlated material is strongly correlated with a resistance of the strongly-correlated material, and the optical transmissivity as applied to the light wavelengths is variable. The pair of electrodes (124) is at least one of formed on and embedded within the attenuation layer (120). The pair of electrodes (124) is configured to provide an indication of the resistance of the attenuation layer (120).

Abstract: Memristive computation of a cross product is disclosed. One example is a crossbar array of memory elements that include a number of column lines perpendicular to a number of row lines, a memory element located at each intersection of a row line and a column line. A programming voltage is applied at each memory element to change a resistance value to represent a respective entry in a skew symmetric matrix representing a first vector, and an input voltage is applied along each row line to represent a dimensional component of a second vector. Sensors located at each column line measure output voltages along column lines, where the output voltages are generated by applying input voltages received by memory elements located along the row line to resistance values of the respective memory elements. Differential amplifiers collate the output voltages for pairs of sensors to generate dimensional components of the cross product.

Abstract: An optical attenuator (104) includes a substrate (116), an attenuation layer (120), and a pair of electrodes (124). The substrate (116) is transparent with respect to a range of light wavelengths. The attenuation layer (120) is formed on the substrate (116) and includes a strongly-correlated material. An optical transmissivity of the strongly-correlated material is strongly correlated with a resistance of the strongly-correlated material, and the optical transmissivity as applied to the light wavelengths is variable. The pair of electrodes (124) is at least one of formed on and embedded within the attenuation layer (120). The pair of electrodes (124) is configured to provide an indication of the resistance of the attenuation layer (120).