Analysis of Field Intensity Distribution in Inhomogeneous Propagation Environment

This paper is concerned with an analysis of field distribution caused by sensor nodes located on inhomogeneous terrestrial surfaces. First, we introduce 1-ray and 2-rays models with two modification factors to estimate the field distribution in complicated natural environments. One of two factors is an amplitude modification (a) and the other is a distance order of propagation (β). By using the two factors, we can calculate field distributions in complicated natural environment such as random rough surface. Then, we propose an estimation formula for analyzing electric fields in inhomogeneous propagation environments based on the conventional two models. Next we introduce an algorithm for radio communication distance based on the 1-ray and 2-rays models. In the numerical examples, we show the field distribution caused by sensor nodes located randomly on inhomogeneous terrestrial surfaces, using 1-ray and 2-rays models. Finally, we discuss how many sensor nodes are needed to cover the field area in order to construct networks.