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TY - CONF AU - Aoki, T. ED - Henderson, Stuart ED - Akers, Evelyn ED - Satogata, Todd ED - Schaa, Volker R.W. TI - Algorithm of Reconstructing Particle Distribution in N-dimensional Phase Space from Profile in Beam Transport J2 - Proc. of IPAC2015, Richmond, VA, USA, May 3-8, 2015 C1 - Richmond, VA, USA T2 - International Particle Accelerator Conference T3 - 6 LA - english AB - In particle beam therapy, it is demanded to improve measurement of beam extracted from accelerator in order to realize more conformal irradiation. We developed a method of reconstructing particle distribution from measured profile in beam transport. In this method, particle distribution is obtained by solving a following equation: I=Dρ, where I is a counted number of particles at a single channel of the profile monitor, D is a matrix representing relation between I and ρ, and ρ is number of particles included in a single n-dimensional voxel of phase space at start point of the beam transport. D is a n×m matrix, where n is number of data which obtained under multiple conditions of beam transport, and m is number of voxels of phase space to be reconstructed. We succeeded formulation of D matrix from transportation matrix of the beam transport R, and discovered that D is formulated as piecewise-polynomials of elements of R. By this method, it is enable to reconstruct the particle distribution in arbitrary dimensional phase space. We show details of the formulation of D and results of simulations of reconstruction of particle distribution in phase space by this method. PB - JACoW CP - Geneva, Switzerland SP - 2256 EP - 2258 KW - simulation KW - beam-transport KW - quadrupole KW - induction KW - emittance DA - 2015/06 PY - 2015 SN - 978-3-95450-168-7 DO - 10.18429/JACoW-IPAC2015-TUPWI007 UR - http://jacow.org/ipac2015/papers/tupwi007.pdf ER -