Optimal plane-wave representation of random fields in a reverberation chamber

An Efficient Plane-Waves Superposition Method for Improved Spatial Correlation in Simulated Reverberation Chambers

“…The choice of the method may depend on the criterion adopted to quantify the sampling uniformity. For instance, in [15], PWs propagating directions coincided with the zeros of the L − th degree Legendre polynomial in elevation (θ) and over 2L uniformly spaced points in azimuth (ϕ) [22], [23], leading to D = 2L 2 impinging directions across a regular grid, as shown in Fig. 1.…”

“…The spiral sampling approach leads to a greater uniformity of the sphere surface sampling and provides flexibility in choosing an arbitrary number of sample points, unlike in [15], where the number of sampled points is limited to 2L 2 , with L an integer number. Finally, the spiral sampling approach provides almost uniform projections of the sample points along all three main cardinal directions, in particular along the z-axis, as shown in Fig.…”

“…2. Upon defining the main input parameters, such as the desired number of field realizations (R) and PWs (N = 2D following the formalism in [15], where each field component PW counts individually), the aforementioned spherical sampling algorithm is employed to define the set of PWs propagation directions to be employed in generating the field realizations. Hence, the generic slant-polarized PW electric field vector is expressed as:…”

“…In [13], [14], PWs with randomly determined propagation directions, polarization, and phase, but constant magnitudes, were assumed, whereas in [17], [18], the PWs magnitudes were randomized as well. Rather than randomizing the PWs impinging directions, a different approach proposed in [15], [16] invoked spectrum sampling theory to derive a predefined set of directions, randomizing only the complex amplitudes of elliptically-polarized PWs. In this way, computational efficiency was notably improved since the PWs directions were common to each random field realization, hence the EUT response to each individual PW had to be determined only once.…”

“…In this paper, the Rayleigh field synthesis in RCs is also carried out using PWs superposition based on a predefined set of directions. However, compared with West et al [15], a different parametric sampling method over the unit sphere is employed to derive the set of PWs propagation directions. Moreover, unitary-magnitude slanted-polarized PW is associated to each impinging PW direction.…”