2007
DOI: 10.1118/1.2431424
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Energy optimization procedure for treatment planning with laser‐accelerated protons

Abstract: A simple analytical model is found that predicts the exact proton spectrum needed to obtain a spread-out-Bragg peak (SOBP) distribution for laser-accelerated proton beams. The theory is based on the solution to the Boltzmann kinetic equation for the proton distribution function. The resulting analytical expression allows one to calculate the SOBP proton energy spectra for the different beamlet sizes and modulation depths that can be readily implemented in the calculation of energy and intensity modulated proto… Show more

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Cited by 42 publications
(22 citation statements)
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References 17 publications
(18 reference statements)
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“…Target engineering is crucial to get the mono-energetic ion beams [2]. These ion beams have extremely short duration (∼fs), highly collimated and are relatively easy to produce, which makes them suitable for many applications, such as proton imaging [3], ion therapy [4], ion beam ignition of laser fusion targets [5] and so on. It was recently suggested to utilize the circularly polarized (CP) laser pulses for very high energy ion acceleration [6].…”
mentioning
confidence: 99%
“…Target engineering is crucial to get the mono-energetic ion beams [2]. These ion beams have extremely short duration (∼fs), highly collimated and are relatively easy to produce, which makes them suitable for many applications, such as proton imaging [3], ion therapy [4], ion beam ignition of laser fusion targets [5] and so on. It was recently suggested to utilize the circularly polarized (CP) laser pulses for very high energy ion acceleration [6].…”
mentioning
confidence: 99%
“…To achieve such motion, we tailor laser beam such that the radiation pressure exerted on the target P = (2I/c)(1 − v/c)/(1 + v/c), where v is the target velocity, remains constant [22]. Using the relativistic formula for target velocity v = gt/(1 + g 2 t 2 /c 2 ) 1/2 , one can find that P = P 0 = const when laser intensity I(t) = I 0 /(1 − gt/c) 2 , where I 0 = I(0) and it is assumed that laser emission time is less than c/g.…”
Section: Analytical Descriptionmentioning
confidence: 99%
“…High energy ion beams have a variety of potential applications, such as proton therapy [1][2][3], radiography [4], ion beam fast ignition [5], and laboratory astrophysics [6].…”
Section: Introductionmentioning
confidence: 99%
“…1), N tail = m i g/4πe 2 , where m i is the proton mass. This positively charged tail creates the longitudinal electric field E z , which prevents further losses of ions from the target and pushes target ions with constant acceleration.…”
Section: Structure Of the Targetmentioning
confidence: 99%
“…Laser-accelerated multi-MeV ion beams have a variety of potential applications, such as proton therapy [1,2,3], radiography [4], ion beam fast ignition [5], and laboratory astrophysics [6].…”
Section: Introductionmentioning
confidence: 99%