Schmidt modes generated in parametric downconversion
Filippo M. Miatto, Henrique Di Lorenzo Pires, Stephen M. Barnett and, Martin P. van Exter
TL;DR
This paper reviews the Schmidt decomposition of two-photon fields in SPDC, highlighting the separation of degrees of freedom, the impact of phase mismatch, and providing extensive numerical and graphical insights into the underlying physics.
Contribution
It offers a comprehensive review of the Schmidt modes in SPDC, emphasizing the physical interpretation and numerical analysis of modal structures and phase mismatch effects.
Findings
Separation of radial and azimuthal modes clarified
Projection methods influence modal analysis outcomes
Collinear phase mismatch enhances certain mode properties
Abstract
This paper presents the general Schmidt decomposition of two-photon fields generated in spontaneous parametric down-conversion (SPDC). It discusses in particular the separation of the radial and azimuthal degrees of freedom, the role of projection in modal analysis, and the benefits of collinear phase mismatch. The paper is written in a review style and presents a wealth of numerical results. It aims at emphasising the physics beyond the mathematics, through discussions and graphical representations of key results.
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