“…Figures 4(a) shows the polarization-dependent power spectral intensity, I RO (), at the intrinsic relaxation oscillation frequency, f 1 , and the lower frequency relaxation noise peak, f 2 , in Figure 3(b), while Figure 4(b) shows the polarization-dependent power spectral intensity, I b (), at the beating frequencies, f b,1 and f b,2 , which are relevant to the BSW oscillations. Note that f 2 relaxation oscillations resulting from the inherent transverse cross-saturation of population inversions among modes [21] are strongly suppressed at the critical polarization directions, c = 50.5 o and 131.5 o , as shown in Figure 4(c). Here, the critical angles are given by c ≅ arctan(±1/r) when subsidiary peaks are much smaller compared with the dominant peaks, i.e., E 3 ≪ E 1 and E 4 ≪ E 2 , where r = (I 2 /I 1 ) 1/2 is the field amplitude ratio of DPO eigenmodes in Figure 1(b), where the field components of the orthogonally polarized eigenmodes along c coincide and the effective modal gain for one mode coincides with that of the other mode [12].…”