Complex relative permittivity, which is one of the important electrical constants of materials for electromagnetic compatibility inside and/or around building, is estimated by iteration calculation using four measurements of the magnitude of reflection coefficient from Free Space Measurement System. The estimation conducts for 1.55GHz to 6.5GHz frequency range including wireless LAN frequency, and the complex relative permittivity of the 9 kinds of interior building materials, including plaster boards and fiber reinforced cement boards are presented. The results of the work have good agreement to the previous works. The variation for frequency and samples of the complex relative permittivity also conduct for these samples. It is very important to estimate electrical constant including complex relative permittivity accurately for the efficient discussion of electromagnetic compatibility inside and/or around building. Various methods have been reported for the determination of the complex relative permittivity of non-magnetic materials, such as Resonator Method, Waveguide Method and Free Space Method. However, few works conduct for building materials, especially interior building materials. So, we estimate the complex relative permittivity for interior building materials by using four measurements of the magnitude of the reflection coefficient from the Free Space Measurement System and iteration calculation. Fig.1 shows the outline of the measurement system. Before the estimation of the complex relative permittivity, we confirm the effectiveness of the measurement system by using acrylic plate (Fig.2). Four measurements are follows, backed by a metal plate from front side (front-short), samples only from front side (front-open), samples backed by a metal plate from back side (back-short), and samples only from back side (back-open). The calculation starts to put above four measurements data and the calculated reflection coefficient by initial guess complex relative permittivity into equation (9). The calculated reflection coefficient can be conducted by using equation (1) to (8) for open and short measurement. The iteration calculation perform to minimize the value of Δ|Γ| under the certain value of the standard deviation for the complex relative permittivity, and the target complex relative permittivity should be obtained when the value of Δ|Γ| achieve to minimum. The measurement of the reflection coefficient performs for 1GHz to 13.5GHz, 501 points, 25MHz steps, and the iteration calculation for 1.55GHz to 6.5GHz, 100 points, 50MHz steps in this work. Table 1 shows samples for the estimation (9 kinds of materials and 23 samples). These samples put into standard humidifier (temperature is 20℃ and humidity is 60%) in certain days to make samples homogeneous with respect to water content. Fig.3, Fig.4 and Fig.5 show the frequency distribution of the complex relative permittivity for Fiber Reinforced Cement Boards, Plaster Boards, Sound Absorbing Boards, and Woods. The real part of the complex relative permittivity decreases for the higher frequency for all samples, and the imaginary part of the complex relative permittivity for Fiber Reinforced Cement Boards increases for the higher frequency. These results have good agreement to the work done by Rhim for the measurement of mortal and concrete from 1GHz to 20GHz and Chiba for the simulation of the concrete. And the estimated complex relative permittivity for Plaster Boards are agree to the value presented by Hashimoto by using Free Space Transmission Method. Table 2 shows the maximum frequency variation of the complex relative permittivity (the ratio to the average value) for 1.55GHz to 6.5GHz. The variation increases for the lower density. The value of the frequency variation of Fiber Reinforced Cement Board Type I and II is about 5% for the real part of the complex relative permittivity and 6-10% for the imaginary part of th
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