Input-Output Relations in Optical Cavities: a Simple Point of View
Abstract
In this work we present a very simple approach to input-output relations in optical cavities, limiting ourselves to one- and two-photon states of the field. After field quantization, we derive the non-unitary transformation between Inside and Outside annihilation and creation operators. Then we express the most general two-photon state generated by Inside creation operators, through base states generated by Outside creation operators. After renormalization of coefficients of inside two-photon state, we calculate the outside photon-number probability distribution in a general case. Finally we treat with some detail the single mode and symmetrical cavity case.
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