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H - Interaction between Light Beams and Linear OpticalMedia
Claude Fabre, Sorbonne Université, Paris
With contributions by Rodrigo G. Cortiñas
Book:

Quantum Processes and Measurement

Published online:

27 July 2023

Print publication:

10 August 2023, pp 252-258
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Summary

Appendix H: treats the interaction between a light beam and a linear optical medium. This first part considers the propagation of a light beam in a sample of two-level atoms using a semiclassical approach, calculates the index of refraction of the medium and its gain when there is population inversion, and losses when the ground state is populated. It then treats in a full quantum way linear attenuation or amplification, for which the "3dB penalty" on the signal-to-noise ratio is derived from basic quantum principles. Finally, it considers the input–output relation for the two input modes of a linear beamplitter, an important example of a symplectic map.