Claims Analysis
Total Claims: 10
Claim 1
Independent Claim
291 words
Apparatus for focusing a beam of particles (100) which comprises: laser means (20) for producing a beam of laser radiation (110); means (15, 2) for superimposing said beam of laser radiation onto said beam of particles such that both beams propogate substantially along the same axis for an interaction region; characterized in that said beam of laser radiation is a TEM* 01 mode beam and said laser beam is detuned from a resonant transition for at least a portion of the particles in said beam of particles by an amount Δν in the range of values determined by the steps of: (1) evaluating the parameter 2R as a function of Δν from the equation ##EQU14## P is the laser power, ν N is the natural linewidth (FWHM) of the particle resonance, c is the speed of light, λ is the wavelength of the laser radiation, m is the particle mass, h is Planck's constant, v 0 is the most probable particle velocity, Δθ is the half-angular divergence of the particle beam, w 0 is the laser beam focal spot size, and Δν, the laser detuning=ν-ν 0 , ν being the laser beam frequency in the particle restframe and ν 0 being the particle resonance frequence for 2R; (2) determining the value of Δν which minimizes 2R with E t =(mv 0 2 Δθ 2 /2) which value shall be designated (Δν opt ) no heat; (3) determining the value (2R) c , the value of 2R for Δν=(Δν opt ) no heat, from the equation for R 2 in step 1; and (4) determining the range of values of Δν between the intersections of the curve of 2R derived from the evaluation in step 1 and the curve 2R=(2R) c .
Claim 2
Dependent Claim
291 words
Apparatus for focusing a beam of particles (100) which comprises: laser means (20) for producing a beam of laser radiation (110); means (15, 2) for superimposing said beam of laser radiation onto said beam of particles such that both beams propogate substantially along the same axis for an interaction region; characterized in that said beam of laser radiation is a TEM* 01 mode beam and said laser beam is detuned from a resonant transition for at least a portion of the particles in said beam of particles by an amount Δν in the range of values determined by the steps of: (1) evaluating the parameter 2R as a function of Δν from the equation ##EQU14## P is the laser power, ν N is the natural linewidth (FWHM) of the particle resonance, c is the speed of light, λ is the wavelength of the laser radiation, m is the particle mass, h is Planck's constant, v 0 is the most probable particle velocity, Δθ is the half-angular divergence of the particle beam, w 0 is the laser beam focal spot size, and Δν, the laser detuning=ν-ν 0 , ν being the laser beam frequency in the particle restframe and ν 0 being the particle resonance frequence for 2R; (2) determining the value of Δν which minimizes 2R with E t =(mv 0 2 Δθ 2 /2) which value shall be designated (Δν opt ) no heat; (3) determining the value (2R) c , the value of 2R for Δν=(Δν opt ) no heat, from the equation for R 2 in step 1; and (4) determining the range of values of Δν between the intersections of the curve of 2R derived from the evaluation in step 1 and the curve 2R=(2R) c .
Claim 3
Dependent Claim
29 words
Apparatus as defined in claim 1 wherein said laser beam is detuned from said resonant transition by an amount determined by minimizing the parameter 2R from the equation ##EQU15##
Claim 4
Dependent Claim
271 words
Apparatus for focusing a beam of particles (100) which comprises: laser means (20) for producing a beam of TEM 00 mode laser radiation (110); means (15,2) for superimposing said beam of laser radiation onto said beam of particles such that both beams propogate substantially along the same axis for an interaction region; characterized in that said laser beam is detuned from a resonant transition for at least a portion of the particles in said beam of particles by an amount Δν in the range of values determined by the steps of: (1) evaluating the parameter 2R as a function of Δν the equation ##EQU16## P is the laser power, ν N is the natural linewidth (FWHM) of the particle resonance, c is the speed of light, λ is the wavelength of the laser radiation, m is the particle mass, h is Planck's constant, v 0 is the most probable particle velocity, Δθ is the half-angular divergence of the particle beam, w 0 is the laser beam focal spot size and Δν, the laser detuning=ν-ν 0 , ν 0 being the laser beam frequency in the particle restframe and ν 0 being the particle resonance frequency for 2R; (2) determining the value of Δν which minimizes 2R from the equation ##EQU17## which value shall be designated (Δν opt ) no heat; (3) determining a value (2R) c from the equation for R 2 in step 1 at (Δν opt ) no heat; and (4) determining the range of values of Δν between the intersection of the curve of 2R, derived from the evaluation in step 1 and the curve 2R=(2R) c .
Claim 5
Dependent Claim
271 words
Apparatus for focusing a beam of particles (100) which comprises: laser means (20) for producing a beam of TEM 00 mode laser radiation (110); means (15,2) for superimposing said beam of laser radiation onto said beam of particles such that both beams propogate substantially along the same axis for an interaction region; characterized in that said laser beam is detuned from a resonant transition for at least a portion of the particles in said beam of particles by an amount Δν in the range of values determined by the steps of: (1) evaluating the parameter 2R as a function of Δν the equation ##EQU16## P is the laser power, ν N is the natural linewidth (FWHM) of the particle resonance, c is the speed of light, λ is the wavelength of the laser radiation, m is the particle mass, h is Planck's constant, v 0 is the most probable particle velocity, Δθ is the half-angular divergence of the particle beam, w 0 is the laser beam focal spot size and Δν, the laser detuning=ν-ν 0 , ν 0 being the laser beam frequency in the particle restframe and ν 0 being the particle resonance frequency for 2R; (2) determining the value of Δν which minimizes 2R from the equation ##EQU17## which value shall be designated (Δν opt ) no heat; (3) determining a value (2R) c from the equation for R 2 in step 1 at (Δν opt ) no heat; and (4) determining the range of values of Δν between the intersection of the curve of 2R, derived from the evaluation in step 1 and the curve 2R=(2R) c .
Claim 6
Dependent Claim
22 words
Apparatus as defined in claim 3 wherein said laser beam is detuned from said resonant transition by an amount determined by: ##EQU18##
Claim 7
Dependent Claim
67 words
Apparatus as defined in claim 1 wherein said means for superimposing comprises: a mirror (2) having an aperture disposed so that a portion of said beam of particle passes through said aperture; and focusing means (15) for focusing said laser beam onto said mirror so that said laser beam is reflected from said mirror in such a manner that it is superimposed upon said beam of particles.
Claim 8
Dependent Claim
50 words
Apparatus as defined in claim 1 wherein said means for superimposing comprises: means (501) for producing electromagnetic fields, which fields are disposed in the path of said beam of particles to bend said beam of particles in such a manner that it is superimposed upon said beam of laser radiation.
Claim 9
Dependent Claim
67 words
Apparatus as defined in claim 3 wherein said means for superimposing comprises: a mirror (2) having an aperture disposed so that a portion of said beam of particle passes through said aperture; and focusing means (15) for focusing said laser beam onto said mirror so that said laser beam is reflected from said mirror in such a manner that it is superimposed upon said beam of particles.
Claim 10
Dependent Claim
50 words
Apparatus as defined in claim 3 wherein said means for superimposing comprises: means (501) for producing electromagnetic fields, which fields are disposed in the path of said beam of particles to bend said beam of particles in such a manner that it is superimposed upon said beam of laser radiation.