Abstract: A system and method for addition of broad-area semiconductor laser diode arrays are described. The system can include an array of laser diodes, a V-shaped external cavity, and grating systems to provide feedback for phase-locking of the laser diode array. A V-shaped mirror used to couple the laser diode emissions along two optical paths can be a V-shaped prism mirror, a V-shaped stepped mirror or include multiple V-shaped micro-mirrors. The V-shaped external cavity can be a ring cavity. The system can include an external injection laser to further improve coherence and phase-locking.

Abstract: A system and method for addition of broad-area semiconductor laser diode arrays are described. The system can include an array of laser diodes, a V-shaped external cavity, and grating systems to provide feedback for phase-locking of the laser diode array. A V-shaped mirror used to couple the laser diode emissions along two optical paths can be a V-shaped prism mirror, a V-shaped stepped mirror or include multiple V-shaped micro-mirrors. The V-shaped external cavity can be a ring cavity. The system can include an external injection laser to further improve coherence and phase-locking.

Abstract: Methods and apparatus are described for control of friction at the nanoscale. A method of controlling frictional dynamics of a plurality of particles using non-Lipschitzian control includes determining an attribute of the plurality of particles; calculating an attribute deviation by subtracting the attribute of the plurality of particles from a target attribute; calculating a non-Lipschitzian feedback control term by raising the attribute deviation to a fractionary power ?=(2m+1)/(2n+1) where n=1, 2, 3 . . . and m=0, 1, 2, 3 . . . , with m strictly less than n and then multiplying by a control amplitude; and imposing the non-Lipschitzian feedback control term globally on each of the plurality of particles; imposing causes a subsequent magnitude of the attribute deviation to be reduced.

Abstract: Methods and apparatus are described for control of friction at the nanoscale. A method of controlling frictional dynamics of a plurality of particles using non-Lipschitzian control includes determining an attribute of the plurality of particles; calculating an attribute deviation by subtracting the attribute of the plurality of particles from a target attribute; calculating a non-Lipschitzian feedback control term by raising the attribute deviation to a fractionary power ?=(2m+1)/(2n+1) where n=1, 2, 3 . . . and m=0, 1, 2, 3 . . . , with m strictly less than n and then multiplying by a control amplitude; and imposing the non-Lipschitzian feedback control term globally on each of the plurality of particles; imposing causes a subsequent magnitude of the attribute deviation to be reduced.

Abstract: Systems and methods are described for laser array synchronization using master laser injection of broad area lasers. A method, includes: master laser injecting a plurality of broad area lasers; and externally cavity coupling the plurality of broad area lasers. A method, includes: master laser injecting a plurality of broad area lasers; and externally Q switch coupling the plurality of broad area lasers. A method, includes: injection synchronizing a plurality of pulsed broad area lasers using a signal source; modulating the plurality of pulsed broad area lasers using the signal source; and externally coupling the plurality of pulsed broad area lasers.

Abstract: Systems and methods are described for laser array synchronization. A method, includes: master laser injecting a plurality of broad area lasers; and externally cavity coupling the plurality of broad area lasers. A method, includes: master laser injecting a plurality of lasers; and Q switch coupling the plurality of lasers. A method, includes: injection synchronizing a plurality of pulsed lasers using a signal source; modulating the plurality of pulsed lasers using the signal source; and externally coupling the plurality of pulsed lasers. An apparatus, includes: a plurality of broad area lasers; a master injection laser coupled to each of the plurality of broad area lasers; and external cavity coupling optics coupled to each of the plurality of broad area lasers. An apparatus, includes: a plurality of lasers; a master injection laser coupled to each of the plurality of lasers; and Q switch circuitry coupled to each of the plurality of lasers.