off the mirror so that effectively it interacts with the fields for a finite time [@Obadia01; @Obadia03; @Parentani03].

In this paper, we develop a quantum circuit model to describe unitary interactions between quantum fields and a uniformly accelerated object (such as a mirror, cavity, squeezer [*etc.*]{}). Our circuit model can be considered a further development of the matrix formalism first proposed by Obadia and Parentani [@Obadia01] to describe a mirror following general trajectories. We concentrate on a uniformly accelerated object because the transformations between Minkowski modes, Rindler modes and Unruh modes are well known [@Unruh76; @Takagi86; @Crispino08] and can be represented by some simple quantum optical elements, like two-mode squeezers, beamsplitters [*etc.*]{} As an application of our circuit model, we revisit the uniformly accelerated mirror problem in $(1+1)$-dimensional Minkowski spacetime. Unlike the self-interaction model proposed by Obadia and Parentani [@Obadia01], which requires a perturbative expansion and is valid only for low reflection coefficients, our circuit model is non-pertubative insofar as it is valid for any value of the reflection coefficient.

For the eternally accelerated mirror, the radiation flux in a localized wave packet mode is divergent. We can regularize this infrared divergence by introducing a low-frequency cutoff for the mirror, 