A consideration of the accuracy and application of the Brather approximation for the transformation of dielectric relaxation data from the time domain to the frequency domain

George P. Simon, Graham Williams

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6 Citations (Scopus)


The methodology for conversion of transient current data in the time domain into dielectric loss data in the frequency domain using the Brather approximation is described. A test of the accuracy of the approximation is made using the 'stretched exponential' relaxation function (Kohlrausch-Williams-Watts function) for which the Fourier transform has been previously tabulated for a range of exponent \ ̄gb(0 < \ ̄gb ≤ 1). As an example of the application of the Brather approximation we report ultra-low frequency dielectric loss data (10-3.5 to 10-0.4) for a liquid-crystalline side-chain polymer as derived from transient current data.

Original languageEnglish
Pages (from-to)2038-2044
Number of pages7
Issue number10
Publication statusPublished - 1 Jan 1993


  • dielectric
  • Fourier
  • liquid crystalline
  • polymer
  • relaxation

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