Nonlocal coupling effects on single-photon transmission in a one-dimensional waveguide interacted with a side optical cavity

TL;DR

This paper investigates how nonlocal coupling between a one-dimensional waveguide and a side optical cavity affects single-photon transmission, revealing tunable transmission dips and asymmetric spectra influenced by coupling parameters.

Contribution

It introduces an analytical framework for nonlocal coupling effects and demonstrates how cavity size and coupling strength alter photon transmission properties.

Findings

Transmission dips can be tuned by adjusting cavity size and coupling strength.

The transmission spectra exhibit asymmetry due to nonlocal coupling.

Simulation confirms the asymmetric transmission behavior in a gold-based waveguide system.

Abstract

The nonlocal coupling effect between a one-dimensional waveguide (1DW) and a side optical cavity (SOC) is studied. We first find the real-space Hamiltonian of the nonlocal-coupling system of the 1DW and SOC, and then derive out an equation determining the energy of the hybridization state between the 1DW and SOC modes and an analytic formula for the single-photon transmission. Through them, we recognize that the single-photon transmission-dip position can be changed by adjusting the SOC size and the coupling strength between the 1DW and SOC. The transmission spectra strongly depends on the nonlocal-coupling function between the 1DW and SOC, and holds an asymmetry line shape. At last, we simulate the asymmetry of the single-photon transmission by a gold-based waveguide coupled with a rectangular SOC.