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We investigate the physical layer security over N-wave with diffuse power (NWDP) fading model, which is typically encountered in realistic wireless scenarios in the context of millimeter-wave communications and emerging 5G technologies. More specifically, novel and exact expressions of the secrecy outage probability (SOP) and the lower bound of the secrecy outage probability are derived in terms of well-known elementary and special functions. Furthermore, we provide very useful insights on the impact of increasing: the number, the relative amplitudes and the power of the dominant specular components for improving secrecy performance. In this context, we show that it is possible to achieve a very good secrecy performance when: (i) the relative amplitudes of the dominant specular components for the eavesdropper channel are sufficiently large compared to those relative amplitudes of the dominant components for the legitimate channel eavesdropper channel, and (ii) the power of the Bob's dominant components is significantly greater than the power of the Eve's dominant rays. The validity of the proposed expressions is confirmed via Monte Carlo simulations.