Rui Zhang and Wayne D Newhauser 2009 Phys. Med. Biol. 54 1383 doi:10.1088/0031-9155/54/6/001
Rui Zhang1,2 and Wayne D Newhauser1,2,3
Show affiliationsIn proton therapy, the radiological thickness of a material is commonly expressed in terms of water equivalent thickness (WET) or water equivalent ratio (WER). However, the WET calculations required either iterative numerical methods or approximate methods of unknown accuracy. The objective of this study was to develop a simple deterministic formula to calculate WET values with an accuracy of 1 mm for materials commonly used in proton radiation therapy. Several alternative formulas were derived in which the energy loss was calculated based on the Bragg–Kleeman rule (BK), the Bethe–Bloch equation (BB) or an empirical version of the Bethe–Bloch equation (EBB). Alternative approaches were developed for targets that were 'radiologically thin' or 'thick'. The accuracy of these methods was assessed by comparison to values from an iterative numerical method that utilized evaluated stopping power tables. In addition, we also tested the approximate formula given in the International Atomic Energy Agency's dosimetry code of practice (Technical Report Series No 398, 2000, IAEA, Vienna) and stopping power ratio approximation. The results of these comparisons revealed that most methods were accurate for cases involving thin or low-Z targets. However, only the thick-target formulas provided accurate WET values for targets that were radiologically thick and contained high-Z material.
Issue 6 (21 March 2009)
Received 16 August 2008, in final form 6 December 2008
Published 13 February 2009
Rui Zhang and Wayne D Newhauser 2009 Phys. Med. Biol. 54 1383
Y L Koh et al 2001 Smart Mater. Struct. 10 946
Beverly K Berger 2004 Class. Quantum Grav. 21 S81
Robert Fairbrother et al 2006 Phys. Educ. 41 27
H L Niu et al 2004 Nanotechnology 15 1054
S Q Liang et al 2009 J. Phys.: Conf. Ser. 188 012022
S Hofmann 1998 Rep. Prog. Phys. 61 639
R R Metsaev 1997 Class. Quantum Grav. 14 L115
R. Narayanan and H. Neuberger JHEP11(2009)018
W Michaelis et al 2005 Metrologia 42 67