Phase and amplitude uncertainties in heterodyne detection
Abstract
The quantum limits on simultaneous phase and squaredamplitude measurements made via optical heterodyne detection on a singlemode radiation field are established. The analysis proceeds from a fully quantum mechanical treatment of heterodyning with ideal photon detectors. A high mean field uncertainty principle is proven for simultaneous phase and squaredamplitude observations under the condition that the signal and image band states are independent, and the image band has zero mean. Operator representations are developed which show that no such principle applies when arbitrary signal/image band dependence is permitted, although the mean observations are no longer functions of the signal field alone. A multimode twophoton coherent state illustrating this behavior at finite energy is exhibited. Potential applications for the resulting improved accuracy measurements are briefly described.
 Publication:

IEEE Journal of Quantum Electronics
 Pub Date:
 July 1984
 DOI:
 10.1109/JQE.1984.1072470
 Bibcode:
 1984IJQE...20..803S
 Keywords:

 Optical Communication;
 Optical Heterodyning;
 Phase Detectors;
 Photometry;
 Quantum Efficiency;
 Signal Detection;
 Amplitude Distribution Analysis;
 Coherence;
 Heisenberg Theory;
 Image Processing;
 Interferometry;
 Probability Density Functions;
 Lasers and Masers