This study explores how bending the waveguides in integrated quantum photonic technologies affects the entangled photon pair generation rate through spontaneous four-wave mixing. Photon pair generation has traditionally been enhanced by modifying the waveguide's cross section or length. However, this work uncovers a new aspect: the bending radius of the waveguide significantly influences the photon pair generation rate. By increasing the curvature of the waveguide, the photons are more tightly confined, boosting the nonlinear interaction without the expected offset from increased radiation losses. The findings reveal an optimal curvature that maximizes photon pair generation, offering a novel approach to designing compact and efficient waveguide spirals. The research considers common nonlinear materials like silicon nitride, silicon-on-insulator, and photoresists for 3D waveguides and focuses on pump wavelengths near the telecommunication range.
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