Experimental and fractional analysis of half-value thicknesses of polyethylene absorber
DOI:
https://doi.org/10.31349/RevMexFis.66.232Keywords:
Half-Value Thickness, Fractional Calculus, Polyethylene AbsorberAbstract
In this study, half-value thicknesses and mass attenuation coefficients of polyethylene absorber have been measured experimentally using the beta sources 99Tc, 147Pm, 137Cs, 204Tl, 210Pb and 36Cl. There is an inconsistency between experimental and calculated values of half value thicknesses obtained with the help of standard attenuation equation. In order to overcome this discrepancy, the fractional attenuation equation which was redefined and resolved using Caputo fractional derivative has been used. The theoretical results obtained according to this new equation are in agreement with experimental results around 0.3 value of the order of fractional derivative.
Downloads
Published
How to Cite
Issue
Section
License
Authors retain copyright and grant the Revista Mexicana de Física right of first publication with the work simultaneously licensed under a CC BY-NC-ND 4.0 that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.