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De Gruyter eBooks

9 Applications in parametric down-conversion

Filippus S. Roux

Published Aug 4, 2025• 0 citations
Publisher
DOI
10.1515/9783111445342-012

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8 Modelling parametric down-conversion

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Speckle structure 1 of Parametric Down Conversion (PDC) has recently received a large attention due to the relevance in view of applications to quantum imaging. The possibility of tailoring the speckle size by acting on the pump intensity and dimensions is an interesting tool for the applications to quantum imaging and in particular to the detection of weak objects under shot-noise limit. In this paper we report a systematic detailed study of the speckle structure in particular of the one in type II PDC, with attention to its variation with pump beam characteristics (power and radius).

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A detailed analysis of the stimulated parametric down-conversion (PDC) process is performed to investigate the effects of the spatiotemporal degrees of freedom. The analysis provides information that would be useful for PDC-based metrology applications. Using a Wigner functional approach, we obtain the parametric down-converted state as the Bogoliubov transformed input state in terms of Bogoliubov kernel functions. The result is used to consider the case for a coherent-state seeding stimulated PDC. We also compute the background which is obtained from spontaneous PDC.
Speckle structure 1 of Parametric Down Conversion (PDC) has recently received a large attention due to the relevance in view of applications to quantum imaging. The possibility of tailoring the speckle size by acting on the pump intensity and dimensions is an interesting tool for the applications to quantum imaging and in particular to the detection of weak objects under shot-noise limit. In this paper we report a systematic detailed study of the speckle structure in particular of the one in type II PDC, with attention to its variation with pump beam characteristics (power and radius).