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The underlay cognitive radio-based hybrid radio frequency / free-spaceoptical (RF / FSO) systems have been emerged as a promising technology due toits ability to eliminate spectrum scarcity and spectrum under-utilizationproblems. Consequently, this work analyzes the physical layer security aspectsof a cognitive RF / FSO hybrid network that includes a primary user, asecondary source, a secondary receiver, and an eavesdropper where the secretcommunication takes place between two legitimate secondary peers over the RFand FSO links simultaneously, and the eavesdropper can overhear the RF linkonly. In particular, the maximum transmit power limitation at the secondaryuser as well as the permissible interference power restriction at the primaryuser are also taken into consideration. All the RF links are modeled with$\alpha$-$\mu$ fading whereas the FSO link undergoes M\'alaga (M) turbulencewith link blockage and pointing error impairments. At the receiver, theselection combining diversity technique is utilized to select the signal withthe best electrical signal-to-ratio (SNR). Moreover, the closed-formexpressions for the secrecy outage probability, probability of strictlypositive secrecy capacity, and effective secrecy throughput are derived toanalyze the secrecy performance. Besides, the impacts of fading,primary-secondary interference, detection techniques, link blockageprobability, atmospheric turbulence, and pointing error are examined. Finally,Monte-Carlo simulations are performed to corroborate the derived expressions.

On Effective Secrecy Throughput of Underlay Spectrum Sharing $\alpha$-$\mu$/ M\'alaga Hybrid Model under Interference-and-Transmit Power Constraints