Structure of a coating PUF. The sensor wires are perpendicular to the paper.
Motivation of the model. (a) A capacitor consisting of several dielectric layers parallel to the plates. (b) Dielectric columns perpendicular to the plates. (c) Combination of layers and columns. The volume between the plates is filled with random dielectric building blocks.
Density of states for , . (a) Location of the peak as a function of . (b) Width of the peak as a function of . The squares are numerical simulation results. The dashed curve in the left graph corresponds to (6). The dashed curve in the right graph is the estimate (7) with . All capacitances have been expressed in units of .
Intrinsic entropy of a capacitor for , . The squares show the result of numerical evaluation of (14). The dotted curve is the approximation (D7) with . The entropy is expressed in “natural units,” i.e., the logarithm with base is used.
(a) Probability distribution of the capacitance. (b) as a function of . The dotted line represents the estimate (19). The squares show the statistical result of randomly generated fillings. The parameters are , , and , and capacitances have been normalized with respect to .
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