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We provide a detailed study of the interplay between the differentinteractions which appear in the Brownian motion of a micronsized sphereimmersed in a viscoelastic fluid measured with optical trapping interferometry.To explore a wide range of viscous, elastic and optical forces, we analyze twodifferent viscoelastic solutions at various concentrations, which provide adynamic polymeric structure surrounding the Brownian sphere. Our experimentsshow that, depending of the fluid, optical forces, even if small, slightlymodify the complex modulus at low frequencies. Based on our findings, wepropose an alternative methodology to calibrate this kind of experimentalset-up when non-Newtonian fluids are used. Understanding the influence of theoptical potential is essential for a correct interpretation of the mechanicalproperties obtained by optically-trapped probe-based studies of biomaterialsand living matter.

Interplay between optical, viscous and elastic forces on an optically trapped Brownian particle immersed in a viscoelastic fluid