Schmidt modes generated in parametric downconversion

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.

11 pages, 13 figures

References in corpus (2)

• Spectral decomposition of entangled photons with an arbitrary pump
• Bounds and optimisation of orbital angular momentum bandwidths within parametric down-conversion systems

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