A NEW WAY TO SUPERHIGH ENERGY WITH A PHASE-ADJUSTED FOCUSING LASER ACCELERATOR

Here we propose to accelerate the charged particles along the axis of a cylinder bymeans of a focusing laser converging toward the axis. This axis is also the equilibrium orbitfor the charged particles, and it is shown that the orbits of the charged particles moving inthe fields of the laser are, under rather wide conditions, focusing transversally as well as longi-tudinally without additional lenses. After a definite distance along the axis, however, thephase of the incident laser has to be changed by a definite amount in order that conditions forthe focusing of the orbits of the particles that have travelled along the axis thus far, maycontinue to be fulfilled. This can be accomplished by varying the optical path of the incidentlaser accordingly. As shown by computer calculation based on Maxwell’s equations, for anaccelerating tube of a radius of ten thousand wavalengths for example, the distance forphase adjustment can be chosen so small as to be of the order of the wavelength withoutseriously destroying the required change of phase along the axis. It is thus estimated thatwith an incident power density of the laser of 5×10W/cmwhich can be tolerated by thewall of the accelerating tube, thanks to the effect of laser focusing, the effective energy gainfor the charged particles along the axis may be as high as 90 GeV/m. This figure is higherthan that of the usual accelerators by several orders of magnitude, so the size and with it thecost of a phase-adjusted focusing laser accelerator will be drastically reduced. This seemsto offer an economic way to superhigh energy physics,if the cost of experimental equipmentcan be similarly reduced. We note, with a PAFLA （phase-adjusted focusing laser accelera-tor）, the beam intensity is probably weaker than that of usual accelerators, but the beam maybe better defined.