Equivalent Field Calculation to Irregular Symmetric and Asymmetric Photon Fields
Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 33090
Equivalent Field Calculation to Irregular Symmetric and Asymmetric Photon Fields

Authors: N. Chegeni, M. J. Tahmasebi Birgani

Abstract:

Equivalent fields are frequently used for central axis depth-dose calculations of rectangular and irregular shaped photon beam. Since most of the proposed models to calculate the equivalent square field, are dosimetry-based, a simple physical-based method to calculate the equivalent square field size was used as the basis of this study. The table of the sides of the equivalent square for rectangular fields was constructed and then compared with the well-known tables of BJR and Venselaar with the average relative error percentage of 2.5±2.5 % and 1.5±1.5 % respectively. To evaluate the accuracy of this method, the PDDs were measured for some special irregular symmetric and asymmetric treatment fields and their equivalent squares for Siemens Primus Plus linear accelerator for both energies 6 and 18MV. The mean relative differences of PDDs measurement for these fields and their equivalent square was approximately 1% or less. As a result, this method can be employed to calculate equivalent field not only for rectangular fields but also for any irregular symmetric or asymmetric field.

Keywords: Equivalent field, asymmetric field, irregular field, multi leaf collimators.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1335662

Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 5546

References:


[1] Venselaar, J.L., et al., Is there a need for a revised table of equivalent square fields for the determination of phantom scatter correction factors? Phys Med Biol, 1997. 42(12): p. 2369-81.
[2] Yu Jin, H., et al., A simplified method for the calculation of equivalent squares of irregular photon fields. ConfProc IEEE Eng Med BiolSoc, 2005. 7: p. 7091-4.
[3] McCurdy, B.M. and S. Pistorius, Determination of equivalent photon fields through integrated 1D convolution kernels. Phys Med Biol, 1999. 44(12): p. 2971-85.
[4] Storchi, P. and E. Woudstra, Calculation of the absorbed dose distribution due to irregularly shaped photon beams using pencil beam kernels derived from basic beam data. Phys Med Biol, 1996. 41(4): p. 637-56.
[5] Day, M.J., A note on the calculation of dose in x-ray fields. British Journal of Radiology 1950. 23(270): p. 368-9.
[6] Day, M.J. and E.G. Aird, The equivalent field method for dose determinations in rectangular fields. British Journal of Radiology Suppl, 1996. 25: p. 138-51.
[7] Bjärngard, B.E. and R.L. Siddon, A note on equivalent circles, squares, and rectangles. Med Phys, 1982. 9(2): p. 258-60.
[8] Clarkson, J.R., A note on depth doses in fields of irregular shape. British Journal of Radiology, 1941. 14: p. 265- 268.
[9] Sathiyan, S., M. Ravikumar, and S.L. Keshava, Relative Output Factors and Absolute Equivalent Square Fields at Depths for High Energy XRay and Gamma Ray Beams. Austral Asian Journal of Cancer 2006. 5(4): p. 225-235.
[10] Sterling, T., H. Perry, and J. Weinkam, Automation of radiation treatment planning. VI. A general field equation to calculate percent depth dose in the irradiated volume of a cobalt 60 beam. British Journal of Radiology, 1967. 40(474): p. 463-74.
[11] Vadash, P. and B. Bjärngard, An equivalent-square formula for headscatter factors. Med Phys, 1993. 20(3): p. 733-4.
[12] Monti, A.F., et al., An equivalent square method for irregular photon fields. Med Dosim, 1995. 20(4): p. 275-7.
[13] Sanz, D.E., Accuracy limits of the equivalent field method for irregular photon fields. Phys Med Biol, 2002. 47(17): p. 3073-85.
[14] Thomas, S.J., et al., Equivalent squares for small field dosimetry. Br J Radiol, 2008. 81(971): p. 897-901.
[15] Araki, F., et al., Dose calculation for asymmetric photon fields with independent jaws and multileaf collimators. Med Phys, 2000. 27(2): p. 340-5.
[16] Kwa, W., et al., Dosimetry for asymmetric x-ray fields. Med Phys, 1994. 21(10): p. 1599-604.
[17] Day, M.J., The equivalent field method for axial dose determinations in rectangular fields. British Journal of Radiology, 1972. 11: p. Suppl 11:95-10.
[18] Stathakis, S., et al., An inhomogeneity correction algorithm for irregular fields of high-energy photon beams based on Clarkson integration and the 3D beam subtraction method. J ApplClin Med Phys, 2006. 7(1): p. 1- 13.
[19] Heukelom, S., J.H. Lanson, and B.J. Mijnheer, Wedge factor constituents of high-energy photon beams: head and phantom scatter dose components. RadiotherOncol, 1994. 32(1): p. 73-83.