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R 50 as a beam quality specifier for selecting stopping‐power ratios and reference depths for electron dosimetry
Author(s) -
Burns D. T.,
Ding G. X.,
Rogers D. W. O.
Publication year - 1996
Publication title -
medical physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.473
H-Index - 180
eISSN - 2473-4209
pISSN - 0094-2405
DOI - 10.1118/1.597893
Subject(s) - dosimetry , monte carlo method , physics , laser beam quality , ionization chamber , stopping power , absorbed dose , computational physics , beam (structure) , photon , electron , cathode ray , optics , formalism (music) , calibration , ionization , atomic physics , nuclear medicine , radiation , mathematics , nuclear physics , statistics , ion , detector , quantum mechanics , medicine , musical , laser , art , laser beams , visual arts
For electron beam reference dosimetry in radiotherapy, it is shown that by choosing the reference depth as d ref =0.6 R 50 −0.1 cm, where R 50 is the half‐value depth in centimeters, the Spencer–Attix water‐to‐air stopping‐power ratio at d ref is given by( L ̄ / ρ ) air w =1.2534−0.1487 ( R 50 ) 0.2144 . This is derived from data for( L ̄ / ρ ) air wobtained from realistic Monte Carlo simulations for 24 clinical beams. The rms deviation of this expression from the Monte Carlo calculations is 0.16%, with a maximum deviation of 0.26%. This approach fully takes into account the spectral differences between real electron beams of the same R 50 and allows an absorbed‐dose calibration at a standards laboratory to be easily and accurately transferred to a reference clinical beam. Using a single paraeter to specify( L ̄ / ρ ) air w , rather than the two parameters ( R 50 and depth) needed when the reference depth is chosen as the depth of dose maximum, has the potential to greatly simplify electron beam dosimetry protocols and allows the use of a similar formalism for photon and electron beam dosimetry. For use in converting a depth–ionization curve into a depth–dose curve, a somewhat less accurate but general expression for( L ̄ / ρ ) air was a function of R 50 and depth is presented.

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