F(\omega, a) (aU)^{-i \omega/a},\end{aligned}$$ with $F(\omega, a) \equiv \frac{e^{\pi \omega/2a}}{\sqrt{4\pi \omega} \sqrt{2\sinh(\pi \omega/a)}}$. $G_{1\omega}(V)$ and $\bar{G}_{2\omega}(U)$ are analytic in the lower-half complex plane while $\bar{G}_{1\omega}(V)$ and $G_{2\omega}(U)$ are analytic in the upper-half complex plane. The Unruh modes annihilate the Minkowski vacuum state $$\begin{aligned}
\hat{c}_{m\omega} | 0_M \rangle = \hat{d}_{m\omega} | 0_M \rangle = 0\end{aligned}$$ as noted above.

Circuit model {#circuit}
=============

General formalism
-----------------

How are the states of a quantum field affected by an object (such as a beamsplitter) that is uniformly accelerated in the $R$ wedge? This is the question of central interest in this paper. A straightforward way to study this problem is to work in the accelerated frame in which the object is static. It is obvious that the object only interacts with Rindler modes in the $R$ wedge and the Rindler modes in the $L$ wedge remain unaffected. The interaction between the object and the Rindler modes is unitary and it transforms the Rindler modes as $$\label{generalcoupling}
\hat{b}_{mk}^{\prime R} = \int d \omega \bigg( \alpha^{m1}_{k \omega} \hat{b}_{1\omega}^R 
+ \beta^{m1}_{k \omega} \hat{b}_{1\omega}^{R \dagger} 
+ \alpha^{m2}_{k \omega} \hat{b}_{2 \omega}^R 
+ \beta^{m2}_{k \omega} \hat{b}_{2\omega}^{R \dagger} \bigg). \\$$ This is the most general interaction which not only couples the 