Fig 1.
Real and imaginary parts of the complex permittivities, , for the six test polymers: (a) PMMA, (b) PC, (c) PDMS, (d) PEI, (e) PET, and (f) PS.
The top (bottom) half of each of the six panels shows the experimental real (imaginary) parts of the respective polymer (solid pink and solid burlywood, respectively) together with their fits based on a superposition of optimized dielectric functions (dashed indigo and dashed blue, respectively).
Fig 2.
Residual errors, (green) and
(orange), in the fits of the six test polymers to their respective experimental permittivities.
(a) PMMA, (b) PC, (c) PDMS, (d) PEI, (e) PET, and (f) PS.
Fig 3.
Reconstructions of the real (top of each of the six frames) and imaginary (middle of each of the six frames) parts of the experimental permittivities, and
, respectively, and the fit of
(bottom of each of the six frames) of (a) PMMA, (b) PC, (c) PDMS, (d) PEI, (e) PET, and (f) PS for the choice of initial conditions that characterize Case I.
Fig 4.
Reconstructions of the real (top of each of the six frames) and imaginary (middle of each of the six frames) parts of the experimental permittivities, and
, respectively, and the fit of
(bottom of each of the six frames) of (a) PMMA, (b) PC, (c) PDMS, (d) PEI, (e) PET, and (f) PS for the choice of initial conditions that characterize Case II.
Fig 5.
(a) Imaginary part, , of the experimental permittivity of PDMS (solid orange) compared with its fitted version (dashed dark blue), constructed from a sum of 17 optimized, anti-symmetrized Lorentzian functions. (b) The functional form of each of the 17 individual Lorentzian functions, labelled n = 1 to n = 17, which make up the complete fitted function (dashed dark blue) in (a). Some of the 17 individual contributions are negative.
Fig 6.
(a) Imaginary part, , of the experimental permittivity of PDMS (solid orange) compared with its fitted version (dashed dark blue), constructed from a sum of 17 optimized dielectric functions. (b) The functional form of each of the 17 individual dielectric functions, labelled n = 1 to n = 17, which make up the complete fitted function (dashed dark blue) in (a). None of the 17 individual contributions is negative.