Modeling of Far-Field Quantum Coherence by Dielectric Bodies Based on the Volume Integral Equation Method
Chengnian Huang, Hangyu Ge, Yijia Cheng, Zi He, Feng Liu, Wei E. I. Sha
TL;DR
This paper presents a unified theoretical and numerical framework to compute far-field two-photon correlations from dielectric scatterers, enabling analysis of quantum interference effects with applications in quantum state engineering.
Contribution
It introduces a novel method combining volume integral equations and scattering theory to efficiently analyze quantum correlations in complex dielectric structures.
Findings
Validated against analytical solutions for dielectric spheres.
Demonstrated on a polarization-converting metasurface showing angular dependence of quantum interference.
Revealed impact of structure on HOM-dip visibility.
Abstract
The Hong-Ou-Mandel (HOM) effect is a hallmark of nonclassical two-photon interference. This paper develops a unified theory-numerics framework to compute angle-resolved far-field two-photon correlations from arbitrary lossless dielectric scatterers. We describe the input-output relation using a multi-channel scattering formulation that maps two populated incident channels to two selected far-field detection modes, yielding a compact two-channel transfer relation for second-order correlation function and time-domain coincidence counts. The required transfer coefficients are extracted from classical far-field complex amplitudes computed by an fast Fourier transform-accelerated volume integral equation solver, avoiding perfectly matched layers and near-to-far-field post-processing. The method is validated against analytical results for dielectric spheres and demonstrated on a…
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