Division (mathematics)

About: Division (mathematics) is a research topic. Over the lifetime, 12717 publications have been published within this topic receiving 87814 citations.

Process Scaling and Transient Melt Pool Size Control in Laser-Based Additive Manufacturing Processes

Abstract: This research was supported by the National Science Foundation Division of Design, Manufacture and Industrial Innovation, through the Materials Processing and Manufacturing Program, award number DMI-0200270.

Digital double differential phase-locked loop

Abstract: A first generator provides a reference pulse train having a predetermined reference frequency. A second generator including a voltage controlled oscillator provides a bit clock having a repetition frequency locked to the repetition frequency of the bits of digital data. A first divider coupled to the first generator divides the reference frequency by a selected one of a first division factor and a second division factor different than the first division factor. A fourth divider coupled to the second generator divides the repetition frequency of the bit clock by a selected one of a third division factor and a fourth division factor different than the first, second and third division factors. A phase comparator coupled to the first and second dividers compare the phase of the output signals of the first and second dividers and produces a control signal proportional to the phase difference between the output signals of the first and second dividers. The control signal is coupled through a loop filter to the voltage controlled oscillator to lock the phase of the bit clock to the bits of the digital data. Logic circuitry coupled to the digital data source, the second generator and the first and second dividers produce a phase slip rate signal to select the appropriate one of the first and second division factors for the first divider and to select the appropriate one of the third and fourth division factors for the second divider.

A photonic switch architecture utilizing code and wavelength multiplexing

Abstract: An optical multiplexer and demultiplexer using combined code division and wavelength division multiplexing. The multiplexer comprises a plurality of code division multiplexers, each responsive to a plurality of input signals and a plurality of orthogonal code sequences, and a wave division multiplexer for generating an output signal representing the signals of each code division multiplexer carried on a different wavelength. Each code division multiplexer comprises a plurality of lithium niobate phase shifters, each comprising an indiffused titanium wave guide and a pair of electrodes for the accepting one of the orthogonal code sequences, to module the lightwave being passed through the wave guide. The demultiplexer for extracting a selected input signal, comprises a wavelength selector for selecting the wavelength carrying the selected input signal, a phase shifter for modulating the selected wavelength signal by the code sequence of the selected individual input signal, and a PIN photodiode for combining the multiplexed signal with the output of the phase shifter to extract the selected input signal. Advantageously, many signals can be multiplexed onto one path and selected separately through the combination of the code division and wavelength division multiplexing and demultiplexing.