SU‐FF‐T‐161: Do Obliquity Factors Apply to 30° Scattered Radiation From Megavoltage Photon Beams?

Purpose: To determine the obliquity factor for megavoltage x‐rays for 30° scattered radiation in various materials by Monte Carlo. Methods and Materials: NCRP report ♯151 discusses the concept of the obliquity factor for primary barriers. Briefly stated, if the primary beam is incident at an angle θ to a barrier of thickness t, then the effective barrier thickness, t s is given by t/cos(θ). For secondary radiation, there are no explicit recommendations. However, in section 7 of that report, the following statement appears (p.115): “It would not be appropriate in this case [secondary radiation] to apply the obliquity factor of cos(30°), ….” The MCNP Monte Carlo code, v4.2C, has been used to generate scattered radiation at 30° to a secondary barrier for 4, 6, 10, 15 and 18 MV bremsstrahlung x‐ray beams for concrete, lead and steel. The barrier thickness was increased from zero to a thickness sufficient to reduce the fluence (f4 tally) to <10 −2 . A transmission curve was created for each energy‐barrier material combination by normalizing to zero thickness. The data was then compared to the values in NCRP ♯151 for concrete and lead. Results: The results for the first TVL show an average obliquity factor of 25.7° ± 3.3°, except for 10 MV in concrete where the value was 11.8°. The obliquity factor for the first two TVLs averaged 27.9° + 5.0°, again, except for 10 MV in lead where the value was 15.0°. Conclusions: The calculated TVLs for obliquely incident scattered radiation are less than those given in NCRP ♯151. This implies that use of an obliquity factor for scattered radiation is appropriate, but that the angle is less than the nominal 30°. This could well be due to the solid angle subtended by the scattered beam at the detector that would energetically favor lower angles.