To calculate the free space propagation loss, you can use the following formula: $$FSPL (dB) = 20 \log_{10}(d) + 20 \log_{10}(f) - 147.55$$ where: d is the distance between the transmitter and receiver in meters, f is the frequency of the transmission in Hz. The attenuation constant (α) can be calculated using the following formula: $$α = - \frac{1}{d} \ln \left( \frac{A_f}{A_i} \right)$$ where: d is the distance the wave has traveled through the medium, A_i is the initial amplitude of the wave before propagation, A_f is the final amplitude of the wave after it has traveled the specified distance (d) through the medium. For the mathematical model of signal propagation with multiple reflections, you can consider the multi-hop model or the ten-rays model. These models take into account multiple reflections of the signal. However, creating a precise model for a specific scenario would require detailed information about the environment, such as the locations and characteristics of the reflecting surfaces, the properties of the medium, and the frequency and power of the transmitted signal. Please note that these calculations and models are theoretical and actual results may vary due to real-world factors such as obstacles, atmospheric conditions, and signal interference