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Dosimetric characteristics of 6MV flattening filter free and flattened beams among beam-matched linacs: a three-institutional study



Beam matching is a concept in radiotherapy applied to clinics where more than one linac is employed to harmonise beam characteristics across linacs for allowing patients interchange without replanning. In view of this, the current study analyzes and compares dosimetric characteristics of 6MV flattening filter free and flattened beams of three beam-matched linear accelerators (linacs) from three different clinics with the aim to evaluate the matching under tight criteria for gamma analysis.


Three Elekta linacs from three different clinics were included. The linacs have the same collimator assembly, Elekta Agility. Beam data were collected during commissioning process using PTW dosimetry systems. Dose profiles and percentage depth doses (PDD) were analyzed using 1D gamma analysis (1 mm/1%) as well as the following parameters: depth of maximum dose, PDD10, flatness, unflattnes, symmetry, penumbra, output factors. Additionally, five stereotactic treatment plans were optimized in one clinic and calculated by all three planning systems (Monaco) for a dosimetric comparison.


Gamma analysis of dose profiles and PDDs showed clinically acceptable results of 96.3% passing rate for profiles and 100% passing rate for PDDs. All dosimetric parameters were in good agreement with the reference data. Furthermore, dosimetric comparisons between stereotactic treatment plans showed a maximum standard deviation of 0.48 Gy for the maximum dose to PTV, and a maximum standard deviation of 0.1 Gy for the dose to the organs at risk.


All three linacs showed a strong agreement between parameters and passed the gamma analysis using 1% DD/1mm DTA criteria. This study confirmed the matching between linacs, offering the possibility to interchange patients with no replanning.


Beam matching is a common practice in clinics with more than one linear accelerator (linac) [1]. This concept brings important benefits for the medical team (medical physicists, physicians) and patients alike. Beam matched linacs are defined in the treatment planning system (TPS) using the same beam model (including parameters like leaf transmission, leaf leakage), and allow to calculate, deliver and perform pre-treatment verifications on any of the linacs included in the cohort with no additional labor for the medical team. For Elekta beam matched linacs, the TPS beam model is provided by the vendor and during the acceptance testing the linac beam is shaped to be in agreement with the TPS beam. A specific subset of beam profiles and percentage depth dose measurements are performed in order to verify the matching for broad square fields (typically 10 × 10cm2 and 30 × 30cm2). The agreement between the compared dosimetric data confirms that a single beam model could be used for the cohort of linacs involved [2,3,4]. Beam-matched linacs that belong to different clinics offer equivalent treatment parameters and allow for patient transfer between linacs/centers in case of machine break down. When dealing with a high patient throughput, the possibility of moving patients among linacs is highly desirable and recommended. Research into the degree of beam-matching between linacs has been in focus over the last years, particularly for stereotactic treatments. The accuracy of treatment delivery between beam-matched linacs was reported by several studies [2,3,4,5].

Some advantages of beam matching include the flexibility of interchanging patients between centers without replanning, and the establishment of analogous (equivalent) quality assurance procedures (monthly, semestrial and annual dosimetric measurement; pre-treatment QA) that correspond to an internal audit. An internal audit is a concept meant to check, in this case, the applicability of some procedures used for dosimetric measurements on beam matched linacs among different clinics which are involved in the study. In our country, as a legal requirement in the field of radiotherapy, remote dosimetry audits for high energy photon beam reference dosimetry are performed every 2 years, as per IAEA recommendations [6, 7]. Sustainable and systematic auditing programs are still needed at national level in many European countries with less than 50% rate of participation in dosimetry audits of Western Europe radiotherapy centers [6, 8, 9], result supported by European surveys [10]. Absolute dosimetry audits are, nevertheless, not sufficient for complex treatment verifications delivered via intensity modulated radiation therapy (IMRT) and volumetric modulated arc therapy (VMAT). To accommodate this, internal audits are designed to check dosimetric parameter similarities between linacs that might have an impact on treatment planning.

Elekta (Crawley, UK) linacs are able to deliver a variety of treatment techniques from conformal radiotherapy (3D-CRT) to volumetric modulated arc therapy (VMAT), including stereotactic radiotherapy using flattening filter free beams (FFF).

The Elekta’s commissioning process requires measurements for both small and large fields (3 × 3cm2, 5 × 5cm2, 10 × 10cm2, 30 × 30cm2 and 30 × 40cm2). While protocols for the analysis of reference field size 10 × 10cm2 and larger fields exist (IAEA TRS398 [11] and AAPM TG51 [12]), for small fields there is only one new protocol developed by IAEA and AAPM (TRS 483) [13] where dosimetric characteristics of small FFF fields are approached. In the literature there is only limited data, particularly for Elekta linacs, therefore, our study brings a contribution on FFF beams and small fields in terms of beam characteristics analysis.

Only linacs able to deliver both FFF and FF beams were included. The use of FFF beams is encouraged for stereotactic treatments by the beam properties (high dose rate, reduced treatment time, reduced head scatter, smaller leakage, lower out-of-field dose) as reported in the scientific literature [14]. There is a lack of information on FFF beams probably due to their relatively new implementation in radiotherapy, therefore this study presents a series of useful parameters that are also compared with reported data from the limited scientific literature.

The aim of the current study is to analyze and compare dosimetric characteristics of flattened and unflattened (FFF) photon beams of 6MV energy originating from three beam-matched linacs from three different centers. Beam data collected from linacs belonging to three different clinics was compared with the Elekta reference data, the study being designed as an internal audit.

Furthermore, pre-treatment specific QA for given IMRT/VMAT plans was performed as part of the commissioning process to ensure the beam matching between linacs and to check the possibility to deliver the same plan in any of the involved linacs with minimum deviations. Beam-matching is a concept also defined in the TPS, therefore, a dosimetric comparison of some complex treatment plans (stereotactic treatments) was performed.

Materials and methods

Linear accelerators

The current study includes 3 linacs installed in three different clinics across the country: one Elekta Versa HD (Linac 1) and two Elekta Infinity (Linacs 2 and 3), all equipped with the Agility multileaf collimator system and with the capacity to deliver both flattened and unflattened 6MV energy beams. The linacs are configured with the Agility multileaf collimator assembly (Elekta, UK), designed with 160 tungsten leaves of 0.5 cm width, the high speed of the leaf being the key characteristic of this assembly, with 6.5 cm/sec, possible only when leaves move in the same direction as the carriage. Real time positioning of the leaf is possible with Rubicon optic technology [15]. The radiation field size is defined by a pair of sculpted diaphragms, orthogonal to the MLC block. The MLCs replace the jaws in the orthogonal direction and there are no backup jaws or diaphragms. Old linacs design has two pairs of jaws, one on each axis. On new linacs designed for rapid and accurate treatments (IMRT, VMAT, SRS, SBRT), jaws from X axis were removed to increase MLC speed. All three linacs can deliver both flattened and unflattened beams. In this study we referred to 6MV flattened (FF) photon beam and 6MV flattening filter free (FFF) photon beam, with respective dose rates of 500MU/min and 1200MU/min. For Elekta accelerators, beam matched linacs have identical technical characteristics and multileaf collimator features.


Photon beams are matched using beam profiles and the Percentage Depth Dose at 10 cm (PDD10) in SSD set-up at 90 cm. The beam matching process provided be Elekta is a fast process of acceptance and commissioning which allows clinical release within 2 weeks. The Elekta’s commissioning process requires measurements for the following field sizes: 3 × 3cm2, 5 × 5cm2, 10 × 10cm2, 30 × 30cm2 and 30 × 40cm2 (for wedged fields). The reference field size is 10 × 10cm2 measured at 10 cm depth. The accepted tolerances for 10 × 10cm2 field size for PDD10 must be within 1% and for 30 × 30cm2 within 2%. Measured data for PDDs and dose profiles underwent 1D gamma analysis using 1 mm distance to agreement (DTA) and 1% dose difference (DD) gamma passing criteria (stricter than required by the vendor) with the aim to check beam matching between machines, as an internal audit. The evaluated parameters include: flatness, symmetry, penumbra, depth of maximum, percentage depth dose at 10 cm, OFs based on data collected during commissioning of Elekta linacs.

To facilitate the dosimetric comparison and data analysis, data provided by Elekta was used as reference. Matching criteria required by the vendor is ± 1% from baseline for PDD and ± 2% from baseline for profiles. Beam adjustments required during calibration were performed by service engineers under TG 142 [16] protocol limits for stereotactic radiosurgery (SRS) and stereotactic body radiotherapy (SBRT).


Photon beams delivered by the three linacs underwent beam analysis for flatness, symmetry, penumbra, PDD10 and depth of maximum dose. Flattened beams were included in this study to highlight beam matching characteristics for situations where FFF beams cannot be used, especially when stereotactic treatments are optimized and delivered using standard photon beams.

Profiles, PDDs, and output factors (OF) were acquired with PTW Beam Scan (PTW Freiburg, Germany) at SSD 90 cm set-up. Mephysto mc2 software was used for data analysis according to the Elekta protocol predefined in the software. Profiles were measured at 5 cm, 10 and 20 cm depth for all field sizes.

To assess the consistency of dosimetric characteristics of the three linacs, three square fields were analyzed: 3 × 3cm3, 5 × 5cm2, 10 × 10cm2, the latter being the reference field based on TRS 398 [11] and TG 51 [12] recommendations. TRS 483 Code of Practice [13] defines new parameters of reference in small field dosimetry, such as that 3 × 3cm2 fields are defined as small fields and require special protocols for evaluation. Beam calibration was made with 100MU corresponding to 1 Gy at 10 cm depth and 90 cm SSD (SAD 100 cm) for 10 × 10cm2 field size.

Percentage depth dose values were acquired at 90 cm SSD for all field sizes: 3 × 3cm2, 5 × 5cm2 and 10 × 10cm2 using PTW 31021 Semiflex 3D ionization chamber positioned at the effective point of measurement with 1 mm detector step. PTW 31021 Semiflex 3D ion chamber was employed also as reference detector.

For profile measurements a 2 mm measurement step was used for the central region and the out of field region and a 1 mm step for the penumbra region. Profiles were measured for X (cross-plane) and Y (in-plane) axis at three depths: 5 cm, 10 cm and 20 cm, at 90 cm SSD using PTW 31021 Semiflex 3D ionization chamber as reference detector, normally placed in air at radiation field edges with the aim to suppress fluctuations in signal acquisition and saturation effects for small fields. The same PTW 31021 Semiflex 3D Ion Chamber was employed for 5 × 5cm2 and 10 × 10cm2 field sizes while for 3 × 3cm2 the PTW 60019 microDiamond and PTW 60023 microSilicon were used.

The output factors (OF) were measured at 90 cm SSD and 10 cm depth using PTW 31021 Semiflex 3D ionization chamber. For small fields (3 × 3cm2) a second measurement was conducted using PTW 31022 PinPoint 3D detector to eliminate perturbation errors due to detector volume.

All measurements reported in this study were performed in a PTW BeamScan (Freiburg) water phantom and for detector positioning inside the phantom a PTW TruFix (Freiburg) dedicated system was used. All detectors used for commissioning are recommended by International Codes of Practice: TRS 398 (IAEA) [11], TG 51 (AAPM) [12], TRS 483 (IAEA and AAPM) [13].

Beam data analysis


Depth of maximum and PDD at 10 cm depth were the main characteristics analyzed for this study due to their impact on the treatment planning process. For commissioning, R80 that corresponds to the 80% of the PDD is also used to define the therapeutic range of the beam and the quality index of the beam (Qi). For depth of maximum parameter, a maximum deviation of 1 mm from baseline is admitted and 1% deviation for PDD10.

Dose profiles

For dose profiles evaluation, flatness and symmetry are the main characteristics of a beam determined from the central region of the profile. For FFF beams the literature highlights as main characteristic the central peak (unflatness), determined using the renormalization factor which is defined as the relative dose ratio in the central axis of the beam (DCAX) when the two field edges corresponding to the FFF and FF beams overlap [17, 18]. Mephysto mc2 software for relative dosimetry analysis defines unflatness as the ratio between DCAX and DXoff−axis, (according to the Elekta protocol), where DCAX is the dose at central axis and DXoff−axis is the dose at offset calculated with formula (1) for field sizes < 10 × 10cm2 and with formula (2) for field sizes ≥ 10 × 10cm2:

$$\frac{Field size}{2}x60\%$$
$$\frac{Field size}{2}x80\%$$

Symmetry is defined as the evenness between two points from the profile situated at the same distance from the central axis. Profile symmetry analyzed by Mephysto software is calculated based on IEC 60976 international standards using formula (3):

$$Symmetry= \left(\frac{{D}_{\left(x\right)}}{{D}_{(-x)}}\right)x100$$

where D(x) is the point dose at a given distance from the central axis.

For unflatness, flatness and symmetry, 1% is the allowed tolerance for the analyzed field sizes as a study criterion. The vendor allows a 2% deviation from baseline for dose profile analysis.

Penumbra variations are related to the radiation field size and the presence of jaws in the X axis over the MLC block. On new linacs designed for rapid and accurate treatments (IMRT, VMAT, SRS, SBRT), jaws from X axis were removed to increase MLC speed. Beside the benefits brought by jaw removal, cross-plane penumbra shows increased values.

For conventional flattened beams, penumbra is defined as the distance between the 80% and 20% isodose lines normalized to the dose at central axis [19, 20]. In case of FFF beams, due to penumbra changes as a consequence of flattening filter removal, the standard definition of penumbra is not valid anymore. Ponisch et al. [17] proposed a new method for penumbra definition for FFF beams which involves the use of inflection points at the field edge for FFF beam normalization at the same dose level of a flattened beam. If FFF beam profiles are normalized to the same dose level as the flattened beam - a method proposed by Fogliata et al. [21], penumbra evaluation based on the 80 − 20% dose values of the profile in the field edges is accepted. As the involved linacs are also used for stereotactic treatments, the deviation of penumbra allowed from baseline is 1 mm.

Output factors

The output factors (OF) are defined as the ratio between the absorbed dose in water for any field size and reference field size (10 × 10cm2) at reference depth. The tolerance is 1% for 5 × 5cm2 and 10 × 10cm2, while for 3 × 3cm2 the tolerance is 2%.

Gamma analysis

Gamma analysis employed in the dosimetric evaluation incorporates two criteria: distance-to-agreement (DTA) and dose-difference (DD), in one analysis, covering both low and high dose gradient regions [22, 23].

For this study, measured PDDs and profiles underwent a 1D gamma analysis where gamma criteria were reduced to 1%/1mm with the aim to achieve higher standards and to minimize the error that can appear for small fields analysis due to varying perturbation effects.


In a standard workflow of a commissioning process, the next step after beam data collection is beam modelling. An accurate beam modelling is mandatory for beam matched linacs and can take several weeks. By choosing Accelerated Go Live process for acceptance and commissioning, Elekta provides a set of beam models, the selected data sets being in accordance with the TG-119 protocol [24, 25]. Model validation process is part of commissioning process and includes a set of IMRT and VMAT treatments plans given by Elekta, that undergo calculation in the local TPS, without optimization. Plans are delivered and analyzed using gamma analysis with 3 mm distance to agreement and 3% dose difference criteria as per TG218, as the commissioning of the linacs was performed before the release of the TG219 protocol in 2021 [26]. Test plans covered a range of anatomical sites (brain – 2 plans, head and neck – 3 plans, pelvis – 2 plans) and they are delivered using all available energies.

Quality assurance procedures employed the PTW Octavius 4D rotation unit which can perform 3D dose verification including non-coplanar beams, off-axis target volumes and very large fields. For IMRT/VMAT plan validation, PTW Octavius Standard Top together with PTW Octavius 1500 Detector were used [27].

Treatment planning evaluation

The commissioning process involves a post modelling feature where different IMRT and VMAT plans provided by vendor are delivered and compared. However, stereotactic plans can be considered as a deficiency of fast Elekta commissioning process, due to the fact that beam matching among linacs that are able to deliver stereotactic treatments need special consideration. The smallest radiation field measured is 3 × 3cm2. Nevertheless, this field size is not small enough to thoroughly evaluate a linac stereotactically.

To undertake a planning comparison between the three linacs, five stereotactic treatment plans for brain metastases were calculated without optimization by the three planning systems. In the TPS, the machine characteristics is predefined by the vendor, but there are some adjustments made for each machine concerning leaf leakage and leaf transmission that are consistent with the measurements employed for IMRT/VMAT validation during the commissioning process.

Additionally, this study also includes a clinical evaluation of five stereotactic treatments with treatment delivery involving small fields. All selected treatment plans delivered hypofractionated stereotactic radiotherapy (HSRT) with a total dose of 30 Gy delivered in 5 fractions (6 Gy/fr). The calculation algorithm was Photon Monte Carlo (pMC) using the same calculation parameters (0.5% uncertainty) in Monaco 5.51 TPS version. In terms of target, three volumes were contoured for each case: gross target volume (GTV), clinical target volume (CTV) and planning target volume (PTV). The isocenter was placed in the geometric center of the GTV established by the TPS. For all cases, coplanar and non-coplanar beams were used. All patients were treated with FFF beams via volumetric modulated arc therapy (VMAT) using partial arcs. The arc length, couch angle and collimator angle were established by the medical physicist according to patient anatomy and tumor position also accounting for the organs at risk (OARs). The number of treatments fields (arcs) was directly correlated with the complexity of the plan and increases for the cases requiring high dose sparing.

The five stereotactic treatment plans optimized in Monaco TPS in one of the three clinics were transferred to the other TPSs and calculated without optimization using the characteristics of the linacs involved. The plans were dosimetrically analyzed with the aim to achieve results within a 3% dosimetric difference.


Percentage depth dose

The value of dmax for FFF beams was greater than that of corresponding flattened beams as expected, shifted from 15 mm for 6MV flattened beam to 17 mm for 6MV FFF (Table 1). Beam intensity for FFF beams was increased owing to filter removal from the beam trajectory. For Elekta linacs, each FFF energy had its own settings, different from any flattened beams allowing to restore the penetrative quality of the FFF beams to the nominal value. For 6MV flattened beam, dmax variation had a maximum of 0.69 mm from baseline (reference data). For 6MV FFF beam the maximum deviation was 0.82 mm from baseline for a 10 × 10cm2 field size. PDD at 10 cm depth (PDD10) in water increases proportionally with the field size for both beam types.

By superimposing PDDs of the same field size for both flattened and unflattened beams, more than one point overlapped in the region of dmax, called plateau. For 6MV FFF beams, the region of plateau was seen around 1.7 cm depth extending with maximum 1 mm.

Table 1 Depth of maximum dose and PDD at 10 cm depth for 6MV flattened and unflattened beams (reproduced with permission from MedEuropa)

Dose profiles

Unflatness values for field sizes smaller than reference (3 × 3cm2 and 5 × 5cm2) were similar for both cross-plane and in-plane axis, while for 10 × 10cm2 unflatness was significantly increased, as expected due to field size dependence (Table 2). Maximum deviation from baseline was within the limit of 1% imposed by this study with one exception, at the 3 × 3cm2 field size, depth 200 mm where for Linac 1, the deviation was  +1.11% but still within the limit requested by the vendor (± 2%).

Table 2 Unflatness and symmetry for 6MV FFF beam measured at three different depth 5 cm, 10 cm and 20 cm. (reproduced with permission from MedEuropa)

Flattened beams presented an average deviation of flatness from reference data of ± 0.42% with higher values for small fields (average ± 1.09%) due to perturbation factors involved in small field measurement. Cross plane dose profiles showed higher deviations and need some beam profile adjustments available in the measurement software, such as smoothing functions and beam normalization to CAX (central axis deviation of the profile). Table 3 tabulates only the results for 10 × 10cm2 field size.

Table 3 Flatness and symmetry for 6MV beam field size 10 × 10cm2, measured at three different depth 5 cm, 10 and 20 cm. (reproduced with permission from MedEuropa)

Reference symmetry values showed a perfect symmetric profile from central axis. All measured profiles for FFF beams were consistent with deviations allowed by protocols, showing increased values for symmetry in cross-plane with maximum deviation of 0.9%. For reference field size, cross-plane (X axis) and in-plane (Y axis), symmetry values for FFF beams were comparable to their flattened counterparts (Table 3). For an easier comparison of key parameters such as flatness, symmetry and penumbra, measured values at 10 cm depth for 10 × 10cm2 reference field are tabulated in Table 4.

Table 4 Flatness, symmetry and average penumbra for 10 × 10cm2 reference field measured at 90 cm SSD and 10 cm depth (reproduced with permission from MedEuropa)

As expected, average penumbra (Table 5) in cross-plane was slightly increased towards in-plane for both beam type, with + 1.3 mm in the case of FFF beams and + 1.45 mm for flattened beams. All linacs analyzed in this study shows small differences in penumbra for FFF beams, with an average of -0.15 mm smaller than for flattened beams, as indicated in Table 5.

Table 5 Average penumbra (mm) for 6MV flattened and unflattened beams (reproduced with permission from MedEuropa)

Output factors

In this study, the output factor ranged from 0.874 to 1.093 for 6MV FFF beams and from 0.845 to 1.149 for 6MV flattened beams (Table 6).

Table 6 Output factors for 6MV flattened and unflattened beams (reproduced with permission from MedEuropa)

Gamma analysis

For dose profile assessment 54 gamma analyses was undertaken for FFF beams and the same number for flattened beams (a total of 108 dose profiles) with clinically acceptable results of 96.3% passing rate for both cases. The assessment of FFF beams showed two dose profiles that need different gamma criteria to pass the analysis: for Linac 3, 10 × 10cm2 field size at 5 cm depth, Y axis profile, 1%/1mm criteria shows one point dose from the edge of the field to be situated at the limits and for the same linac, the 10 × 10cm2 field size at 20 cm depth on Y axis, only met the limit vendor requirement of 2%/2mm criteria for 2 dose points. Flattened beams presented deviation from the standard criteria on two profiles for 3 × 3cm2 field size along Y at 5 and 10 cm depth; one point in each case needed a 2% dose-difference criteria to pass the analysis. All measured PDDs passed the gamma analysis using a 1%/1mm criteria for all measured points.

IMRT/VMAT plan validation

Gamma passing rates using 3%/3mm (according to TG119) criteria showed good agreement between machines. All measured plans met the minimum passing rate required in our clinics of 95%. Linac 1 showed the best results in terms of passing rates with minimum of 98.4% (Table 7). The average gamma passing rate for IMRT plans was 98.9% for Linac 1, 97.2% for Linac 2 and 98.3% for Linac 3; and for VMAT plans 99.10% for Linac 1, 96.87% for Linac 2 and 97.46% for Linac 3.

Table 7 Gamma passing rate for 6MV FFF photon beam IMRT / VMAT plan

Treatment planning evaluation

Stereotactic treatment plan evaluation for five brain metastases showed small differences between linacs, with a maximum standard deviation of 0.48 Gy for the maximum dose to PTV, and a maximum standard deviation of 0.1 Gy for the dose to the organs at risk and PTV coverage.


This study reported the dosimetric compatibility and consistency of three Elekta beam matched linear accelerators (Versa HD and Infinity) from three radiotherapy centers. Beam matched linacs bring benefits to both medical team and patients alike [29], enabling treatment on any of the devices without requiring re-planning. This aspect is of real assistance when a linac is unavailable or when large number of patients are awaiting radiotherapy.

While this topic presents interest in radiotherapy, it is under-researched especially in Eastern European countries. The concept of dosimetric compatibility for FFF beams is even less approached. A PubMed search on “beam matched linac FFF” displayed only 19 articles published between 2011 and 2022, with 8 studies referring to Varian TrueBeam or Halcyon accelerators and 5 to Elekta linacs, whereas the other studies did not include physical parameters.

To be noted that all measurements within this study were carried out on Elekta machines. Despite differences in design and characteristics of the treatment head between Elekta and Varian linacs, the main parameters were also correlated with results from Varian machines. This was done in order not to limit the results of our study to Elekta linacs but to provide a methodology that is applicable to all linacs.

For dosimetrically compatible linear accelerators Elekta requires a tolerance of ± 1% for PDDs and ± 2% for dose profiles. A report of the Elekta’s Accelerated Go Live commissioning process shows a 95% compatibility for gamma analysis of PDD with a criterion of 1% dose and 1 mm distance, and 2% dose and 2 mm distance for dose profiles [30].

Unflattened beams often represent a challenge in radiotherapy, particularly for medical physicists responsible for dosimetric quality assurance. A new Code of Practice, TRS 483, developed by IAEA and AAPM, give information about small fields dosimetry delivered by FFF beams to assist physicists with this task [29].

The maximum depth for 6MV standard photon beam is 1.5 cm, in agreement with the values reported in the literature [31] and also with Monte Carlo simulations of a linear accelerator that operates with both flattened beams and FFF beams [32]. The dmax value of the 6MV FFF photon beam is 2 mm deeper than for the 6MV flattened photon beam, thus being consistent with the dmax value of the reference FFF photon beam provided by the manufacturer Elekta and within the accepted deviation limits of 1 mm compared to data reported in the literature on Elekta linacs [19, 33].

The dose deposited by the standard beam at 10 cm depth (PDD10 or D100) is consistent with the data published in the literature for both standard and unflattened beams, for all field sizes. PDD10 for FFF beams has a maximum difference of 1.7% and 1.3% for flattened beams from the reported data including both Elekta and Varian linacs (Table 8) [19, 25, 34,35,36].

Table 8 Penumbra variations for flattened and unflattened beams between our study and the scientific literature

X axis penumbra values for both flattened and FFF beams, for all field sizes, regardless of depth, are higher than the in-plane axis penumbra values, owing to the removal of the X jaws to allow for fast and accurate treatment delivery. A comparative study regarding penumbra variation for both flattened and unflattened beams is presented in Table 8 which includes 2 Elekta Versa HD and 3 Varian Linacs. The average values ​​of the penumbra along X axis for both beam types are ​​at least 1 mm larger than the values along the in-plane axis, in agreement with reported data [17, 19]. For the reference field, the penumbra value for 6MV FFF photons along X is 1.27 ± 0.06 mm larger than the Y penumbra, while for the 6MV FF photons the penumbra in the X axis is 1.5 ± 0.11 mm larger than the penumbra value along Y. The method proposed by Fogliata et al. [21] for beam normalization together with penumbra evaluation based on the 80 − 20% dose values of the profile in the field edges shows no significant differences (lower than 1 mm) from the values reported by Ponisch et al. [17]

For 10 × 10cm2 field size, in the case of FF and FFF beams, average values of penumbra for all three linacs show less than 1 mm difference from the data reported by Meshram et al. [33] and Beyer et al. [37] (see also Table 4).

New parameters specific to FFF beams were proposed by Fogliata et al. [21], including unflatness. The data analyzed for all field dimensions at the three depths show a maximum deviation of -0.29% for the 3 × 3cm2 field in the X axis. Our measured data is in agreement with the data published by Fogliata et al. [21] with a small difference for the reference field of 0.21‰.

Tanaka et al. [38]. compared the impact of detector selection for FFF beam measurements for TrueBeam linacs. The unflateness variation is insignificant regarding selected detector. All measured values are in good agreement with the values measured for Elekta linacs involved in this study [38].

For standard beams, the flatness for reference field of 10 × 10cm2 measured at 10 cm depth is in accordance with data reported by Fogliata et al. [39] who shows that Elekta FF and FFF photon beams have similar characteristics.

The values obtained for FFF photon beam symmetry for a 10 × 10cm2 field in our study are ​​comparable to those reported in the literature, i.e., below 101%, both in the X and Y axis of the dose profile, while symmetry values for the standard beam for the same field size ​​are below the average value of 100.5% reported by Narayanasamy et al. [19].

The total scattering factor can be expressed as a function of the output factor, as the ratio between the absorbed dose at the reference depth for a given field size and the dose at the same depth for the 10 × 10cm2 reference field. The output factor values for the standard and FFF photon beam are in agreement with those reported by other studies [34, 40] for all field sizes.

Quality assurance procedures for beam characteristics and treatment planning during linac commissioning are critical aspects for beam-matched linacs. All IMRT and VMAT plans successfully passed the gamma criteria of 3% dose difference and 3 mm distance to agreement with an overall average of 97.81%. Similar results are reported by Snyder et al. [28] for a Versa HD linear accelerator using two identical plans. A high passing rate showed a good agreement between beam models and linac performance. In situations when the difference between linacs is higher than 3%, pre-treatment verification is recommended to be performed before patient interchange.

To be noted that stereotactic treatments need special consideration in terms of beam matching when interchanging patients. This is because high doses are delivered over a short period of time and in most cases, tumors are located around vital organs at risk. Therefore, beside beam data analysis, a complementary clinical data analysis was performed which included 5 stereotactic treatment plans. The impact of the presented difference can be considered negligible when switching patients between linacs and offers again the certainty that patients are treated with clinically insignificant deviations from the original plan.


In this study we investigated the consistency of dosimetric characteristics among flattening filter free beam-matched linacs across three clinics focusing on flattening filter free beams due to lack of literature in this regard. Parameters such as flatness, symmetry, penumbra, PDD10 from profiles and percentage depth dose measurements were analyzed using Mephysto mc2 software according to international recommendations from IAEA, AAPM and vendor (Elekta). All data were collected during Elekta commissioning process.

Overall, all three linacs show a strong agreement between parameters. The analyzed dosimetric parameters are also consistent with the data reported by literature with clinical acceptable results in terms of IMRT/VMAT treatment plan validation (higher than 95%). Beam matching was also checked for five stereotactic treatment plans of brain metastases optimized in one planning system and then calculated for each linac involved in this study, showing a good agreement in DVHs parameters.

This interinstitutional study highlights the role of beam-matching between linacs and offers the possibility to interchange patients between linacs with no additional labor, such as replanning.

Data Availability

The datasets used and/or analyzed during the current study are available from the corresponding author on reasonable request.



3D conformal radiotherapy


American Association of Physicists in Medicine


Accelerated Go Live


Depth Dose at 10 cm


Dose difference


Distance to agreement




Flattening filter free


International Atomic Energy Agency


Intensity-modulated radiation therapy


Linear accelerator


Multi-leaf collimator


Monitor Unit


Organs at risk


Output factor


Percentage depth dose


Quality assurance


Source-to-axis distance


Stereotactic body radiotherapy


Stereotactic radiosurgery


Source to surface distance


Treatment planning system


Volumetric modulated arc therapy


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The authors wish to thank MedEuropa management for access to all necessary data to undertake this study and to all medical physicists from MedEuropa clinics involved in the commissioning process.


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DMG – conceptualization, management and data analysis, manuscript writing; LGM – supervision, manuscript editing and revision; VV – data acquisition; AV – data acquisition.

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Correspondence to Diana M. Ghemiș.

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Ghemiș, D.M., Marcu, L.G., Virag, V. et al. Dosimetric characteristics of 6MV flattening filter free and flattened beams among beam-matched linacs: a three-institutional study. Radiat Oncol 18, 126 (2023).

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