Abstract
The method of determination of complex dielectric permIttIvIty of loss materials at microwave frequencies (X-band) using measured amplitudes of reflection and transmission coefficients and numerical calculations is developed. Different numerical methods namely graphical, bisection (halving), newton, and secant, are applied in order to determine the permittivity of cement-based materials. Simulation time and errors of these methods are compared. It is shown that the fastest and most accurate method is the bisection (halving) method because it is a global method.
Highlights
Dielectric properties, usually referred to permittivity, are intrinsic properties that describe wave-matter interaction and, are dependent on contents of the material, for example: moisture content, density and temperature
Free-space microwave techniques have been widely used for dielectric property measurements since recent advances in microwave components and. instrumentation made them more convenient
The numerical methods used for the determination of the complex permittivities of loss samples are compared
Summary
Interface of the air-sample I, and multiple reflections occur between each sides of the sample. The expressions for reflection coefficient, r, and transmission coefficient, t, can be expressed as [1]. R = 'i2 t = (1- 'i~)e- j8 where k = 2n o A' o In the foregoing equations in (1) and (2), .,10 ' d, and £ are the wavelength in free-space, thickness and dielectric permittivity of the material, respectively. The amplitudes of reflection and transmission coefficients IrI and It 1 are measured in decibels, defined as. To. 1£ simplify the solution of the equations, let = a - jb. 1r12 -1 uetermination of Complex Dielectric Permittivity Of Loss Materials at Microwave Frequencies.
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