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The principal of linear superposition is investigated in the computationalsystem of a solid spherical absorber immersed in a transparent aqueous mediumand illuminated by a laser pulse. The absorber is exposed to a single top-hatpulse and to a fraction of the pulse from which a superimposed response iscalculated. The results clearly show the transition of the system from a lowfluence linear state where superposition is valid to a high fluence nonlinearstate where the superposition is violated. The procedure described in the textcan be used to find the transition to nonlinearity in a given excited system.This work can lead to better understanding and quantifying the transition fromlinear to non-linear regimes in complex systems.

A superposition test for the emergence of nonlinearities in a laser irradiated spherical absorber