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In this paper, we analyze the performance of a reconfigurable intelligentsurface (RIS)-assisted multi-hop transmission by employing multiple RIS unitsto enable favorable communication for a mixed free-space optical (FSO) andradio-frequency (RF) system. We consider a single-element RIS since it is hardto realize phase compensation for multiple-element RIS in the multi-hopscenario. We develop statistical results for the product of the signal-to-noiseratio (SNR) of the cascaded multiple RIS-equipped wireless communication. Weuse decode-and-forward (DF) and fixed-gain (FG) relaying protocols to mixmulti-RIS transmissions over RF and FSO technologies and derive probabilitydensity and distribution functions for both the relaying schemes by consideringindependent and nonidentical double generalized gamma (dGG) distribution modelsfor RF transmissions with line-of-sight (LOS) and inverse-Gamma shadowingeffect and atmospheric turbulence for FSO system combined with pointing errors.We analyze the outage probability, and average bit-error rate (BER) performanceof the considered system. We also present an asymptotic analysis of the outageprobability using gamma functions to provide insight into the considered systemin the high SNR regime. We use computer simulations to validate the derivedanalytical expressions and demonstrate the performance for different systemparameters on the RIS-assisted multi-hop transmissions for a vehicularcommunication system.

Multiple RIS-Assisted Mixed FSO-RF Transmission Over Generalized Fading Channels