A comparison of phantom scatter from flattened and flattening filter free high-energy photon beams

Experimental and Monte Carlo-based determination of the beam quality specifier for TomoTherapyHD treatment units

Reference dosimetry by means of clinical linear accelerators in high-energy photon fields requires the determination of the beam quality specifier TPR_20,10, which characterizes the relative particle flux density of the photon beam. The measurement of TPR_20,10 has to be performed in homogenous photon beams of size 10×10cm² with a focus-detector distance of 100cm. These requirements cannot be fulfilled by TomoTherapy treatment units from Accuray. The TomoTherapy unit provides a flattening-filter-free photon fan beam with a maximum field width of 40cm and field lengths of 1.0cm, 2.5cm and 5.0cm at a focus-isocenter distance of 85cm. For the determination of the beam quality specifier from measurements under nonstandard reference conditions Sauer and Palmans proposed experiment-based fit functions. Moreover, Sauer recommends considering the impact of the flattening-filter-free beam on the measured data. To verify these fit functions, in the present study a Monte Carlo based model of the treatment head of a TomoTherapyHD unit was designed and commissioned with existing beam data of our clinical TomoTherapy machine. Depth dose curves and dose profiles were in agreement within 1.5% between experimental and Monte Carlo-based data. Based on the fit functions from Sauer and Palmans the beam quality specifier TPR_20,10 was determined from field sizes 5×5cm², 10×5cm², 20×5cm² and 40×5cm² based on dosimetric measurements and Monte Carlo simulations. The mean value from all experimental values of TPR_20,10 resulted in TPR_20,10¯=0.635±0.4%. The impact of the non-homogenous field due to the flattening-filter-free beam was negligible for field sizes below 20×5cm². The beam quality specifier calculated by Monte Carlo simulations was TPR_20,10=0.628 and TPR_20,10=0.631 for two different calculation methods. The stopping power ratio water-to-air s_w,a^Δ directly depends on the beam quality specifier. The value determined from all experimental TPR_20,10 data was s_w,a^Δ=1.126±0.1%, which is in excellent agreement with the value directly calculated by Monte Carlo simulations. The agreement is a good indication that the equations proposed by Sauer and Palmans are able to calculate the beam quality specifier under reference conditions from measurements in arbitrary photon field sizes with high accuracy and are applicable for the TomoTherapyHD treatment unit.

An Analytical Method to Calculate Phantom Scatter Factor for Photon Beam Accelerators

Introduction

One of the important input factors in the commissioning of the radiotherapy treatment planning systems is the phantom scatter factor (Sp) which requires the same collimator opening for all radiation fields. In this study, we have proposed an analytical method to overcome this issue.

Methods

The measurements were performed using Siemens Primus Plus with photon energy 6 MV for field sizes from 5×5cm² to 40×40cm². Phantom scatter factor was measured through the division of total scatter output factors (Scp), and collimator scatter factor (Sc).

Results

The mean percent difference between the measured and calculated Sp was 1.00% and -3.11% for 5×5, 40×40 cm² field size respectively.

Conclusion

This method is applicable especially for small fields used in IMRT which, measuring collimator scatter factor is not reliable due to the lateral electron disequilibrium.

Zero field PDD and TMR data for unflattened beams in conventional linacs: A tool for independent dose calculations

PURPOSE

To investigate the applicability of the formalism described in BJR supplement n.25 for Flattening Filter Free (FFF) beams in determining the zero-field tissue maximum ratio (TMR) for an independent calculation method of Percentage Depth Doses (PDDs) and relative dose factors (RDFs) at different experimental setups.

METHODS

Experimental PDDs for field size from 40×40cm² to 2×2cm² with Source Surface Distance (SSD) 100cm were acquired. The normalized peak scatter factor for each square field was obtained by fitting experimental RDFs in water and collimator factors (CFs) in air. Maximum log-likelihood methods were used to extract fit parameters in competing models and the Bayesian Information Criterion was used to select the best one. In different experimental setups additional RDFs and TPR₁₀²⁰s for field sizes other than reference field were measured and Monte Carlo simulations of PDDs at SSD 80cm were carried out to validate the results. PDD agreements were evaluated by gamma analysis.

RESULTS

The BJR formalism allowed to predict the PDDs obtained with MC within 2%/2mm at SSD 80cm from 100% down to 50% of the maximum dose. The agreement between experimental TPR₁₀²⁰s and RDFs values at SSD=90cm and BJR calculations were within 1% for field sizes greater than 5×5cm² while it was within 3% for fields down to 2×2cm².

CONCLUSIONS

BJR formalism can be used for FFF beams to predict PDD and RDF at different SSDs and can be used for independent MU calculations.