Determination of Small Beam Axial Dose Distribution in Water Based on the Mathematical Model of Pencil Beam Kernels

Abstract

An analytical model of the dose kernel of pencil beam for photon with the Bremsstrahlung spectrum with maximum energy 6 MV was created in this work, which makes it possible to determine the primary and scattered components of the absorbed dose in water phantom with an acceptable error for practice. Using this model a simply method of dosimetry of small circular cross section 6 MV photon beam was proposed. It combines the absolute measurement of the absorbed dose in the water at the reference point for reference geometry with the calculation of the deep dose distribution by simple analytical formulas for circular beams with an arbitrary radius of the cross section.


Keywords: dose kernels, pencil beam, dosimetry, small photon beam, radiotherapy.

References
[1] R. Alfonso, P. Andreo, R. Capote et al. A new formalism for reference dosimetry of small and nonstandard fields, Med. Phys., vol. 35, № 11. pp. 5179–5186, 2008.


[2] IPEM. Small field MV photon dosimetry. Technical Report 103. Institute of Physics in Engineering and Medicine, York, 2010.


[3] H. Bouchard, J. Seuntjens, S. Duane, et al., Detector dose response in megavoltage small photon beams. I. Theoretical concepts, Med. Phys., vol. 42, № 10, pp. 6033– 6047, 2015.


[4] P. Kazantcev, V. Klimanov, Application of the ionization method in the dosimetry of small photon therapeutic beams, Medical physics, vol. 47, № 3, pp. 14-22, 2010.


[5] V. Klimanov, A. Moiseev, M. Kolyvanova et al., The dose kernels of pencil and differential pencil photon beams with the spectrum of treatment machines with a 60Co source in water and their analytical approximation, Moscow University Physics Bulletin, vol. 71, №4, pp. 432-439, 2016.