<p>To evaluate the dosimetric impact of depth-dependent ion recombination and empirical effective point of measurement (<i>EPOM</i>) positioning in megavoltage photon beams, with particular focus on flattening filter-free (FFF) beams. Ion recombination correction factors (<InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(k_s\)</EquationSource> </InlineEquation>) were characterised as a function of depth and field size for three ionisation chambers (Roos, SNC125, CC13) using the two-voltage method under reference conditions (SSD 100&#xa0;cm and 10&#xa0;cm field size) and for additional MLC-defined 5&#xa0;cm and 2&#xa0;cm square field sizes, on a point-by-point basis across multiple beam energies. Empirical <i>EPOM</i>s were derived by aligning percentage depth ionisation (<i>PDI</i>) curves to a reference plane-parallel chamber. The dosimetric consequences of using generic <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(k_s\)</EquationSource> </InlineEquation> and <i>EPOM</i> assumptions were assessed, and scan-derived <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(k_s\)</EquationSource> </InlineEquation> values were validated against point dose measurements. A marked depth dependence in <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(k_s\)</EquationSource> </InlineEquation> was observed for all chambers, most notably in FFF beams. The CC13 exhibited the greatest depth-related variation, resulting in recombination-related <i>PDD</i> deviations of up to 1.3% at extended depths. Empirically determined <i>EPOM</i>s were consistently smaller than the conventional 0.6<InlineEquation ID="IEq5"> <EquationSource Format="TEX">\(\times r_{cyl}\)</EquationSource> </InlineEquation> shift, with normalised values of 0.42 and 0.38 for SNC125 and CC13, respectively. Using the conventional shift would introduce a residual dose deviation of approximately − 0.5%. The combined influence of uncorrected ion recombination and the generic <i>EPOM</i> produced a <i>PDD</i> bias of 0.8% at 10&#xa0;cm depth for the 10 FFF beam, which is relevant both for reference dosimetry and for depth-sensitive treatment sites. This study demonstrates that empirical, chamber-specific <i>EPOM</i> and <InlineEquation ID="IEq6"> <EquationSource Format="TEX">\(k_s\)</EquationSource> </InlineEquation> correction factors improve dosimetric accuracy and <i>PDD</i> measurements, and consequently, reference dosimetry and TPS beam modelling for which <i>PDD</i><sub>10&#xa0;cm</sub> is a key parameter. With the increasing adoption of FFF beams, reliance on generic assumptions for <InlineEquation ID="IEq7"> <EquationSource Format="TEX">\(k_s\)</EquationSource> </InlineEquation> and <i>EPOM</i> introduces clinically relevant systematic deviations, approaching 1.0% at the calibration depth and becoming larger at greater depths. These corrections should be considered an essential component of linac and chamber commissioning to ensure robust reference dosimetry and accurate beam modelling. Given their measurable impact, such practices warrant inclusion in ACPSEM guidelines, in alignment with emerging best-practice frameworks and the evolving precision requirements of modern radiotherapy.</p>

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Depth matters: ion recombination variations and EPOM assumptions in high energy photon beam dosimetry

  • Leyla Moghaddasi,
  • Regina Bromley,
  • Robert Finnegan,
  • Natasha Gabay,
  • Jeremy Booth

摘要

To evaluate the dosimetric impact of depth-dependent ion recombination and empirical effective point of measurement (EPOM) positioning in megavoltage photon beams, with particular focus on flattening filter-free (FFF) beams. Ion recombination correction factors ( \(k_s\) ) were characterised as a function of depth and field size for three ionisation chambers (Roos, SNC125, CC13) using the two-voltage method under reference conditions (SSD 100 cm and 10 cm field size) and for additional MLC-defined 5 cm and 2 cm square field sizes, on a point-by-point basis across multiple beam energies. Empirical EPOMs were derived by aligning percentage depth ionisation (PDI) curves to a reference plane-parallel chamber. The dosimetric consequences of using generic \(k_s\) and EPOM assumptions were assessed, and scan-derived \(k_s\) values were validated against point dose measurements. A marked depth dependence in \(k_s\) was observed for all chambers, most notably in FFF beams. The CC13 exhibited the greatest depth-related variation, resulting in recombination-related PDD deviations of up to 1.3% at extended depths. Empirically determined EPOMs were consistently smaller than the conventional 0.6 \(\times r_{cyl}\) shift, with normalised values of 0.42 and 0.38 for SNC125 and CC13, respectively. Using the conventional shift would introduce a residual dose deviation of approximately − 0.5%. The combined influence of uncorrected ion recombination and the generic EPOM produced a PDD bias of 0.8% at 10 cm depth for the 10 FFF beam, which is relevant both for reference dosimetry and for depth-sensitive treatment sites. This study demonstrates that empirical, chamber-specific EPOM and \(k_s\) correction factors improve dosimetric accuracy and PDD measurements, and consequently, reference dosimetry and TPS beam modelling for which PDD10 cm is a key parameter. With the increasing adoption of FFF beams, reliance on generic assumptions for \(k_s\) and EPOM introduces clinically relevant systematic deviations, approaching 1.0% at the calibration depth and becoming larger at greater depths. These corrections should be considered an essential component of linac and chamber commissioning to ensure robust reference dosimetry and accurate beam modelling. Given their measurable impact, such practices warrant inclusion in ACPSEM guidelines, in alignment with emerging best-practice frameworks and the evolving precision requirements of modern radiotherapy.