We analyse the behaviour of single photon states within rectangular waveguides. The fields were solved for using normal modes of rectangular waveguides. The system is taken to be coupled to a cavity-atom system and the coupling between the cavity and waveguide was analysed to compute a coupling frequency. The single mode approximation was used assuming a Jaynes-Cummings form for the Hamiltonian to arrive at field operator expressions. These were used along with photodetection theory to compute the output detection probabilities for single photon states in the dominant mode. Finally, the single photon state was analysed within an MZI and a directional coupler. Y splitters and combiners were assumed to have 50% power division. Our results suggest that for single photon states, there is little to no deviation from the classical case in terms of input and output.
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