Complete Electromagnetic Dyadic Green Function Characterization in a Complex Environment—Resonant Dipole-Dipole Interaction and Cooperative Effects

Kaizad Rustomji,Marc Dubois,Pierre Jomin,C Martijn De Sterke,Redha Abdeddaim,Stefan Enoch,Jérôme Wenger

doi:10.1103/physrevx.11.021004

Abstract

The Green function is a crucial description of a system's response to an impulse but is challenging to measure experimentally. A new measurement technique fully characterizes the function for a resonant planar cavity.

Highlights

The dyadic Green function is a central element in the theory describing many areas of physics as it encapsulates the linear response of a complex environment to an arbitrary distribution of sources
The Green function encompasses all the information to calculate the system’s response, and as such its tensor elements account for a broad range of physical phenomena For instance, the imaginary part of the diagonal elements allows computation of the local density of optical states (LDOS) and the associated Purcell factor [2,3], which determine the efficiency of a classical antenna [4] and the lifetime of a quantum emitter in a complex
As the laws of electromagnetism are scalable with the frequency, the characterization of resonant dipole-dipole interaction near structures in the microwave regime can be readily extended to explain the physics occurring in the visible range

Summary

INTRODUCTION

The dyadic Green function is a central element in the theory describing many areas of physics as it encapsulates the linear response of a complex environment to an arbitrary distribution of sources. To demonstrate the effectiveness of our approach, we fully characterize the Green function inside a resonant planar cavity of parallel or nonparallel mirrors This information quantifies the influence of the cavity on various aspects of resonant dipoledipole interaction (CDR, CLS, and FRET), and is in excellent agreement with classical electrodynamics simulations. Our novel methodology allows the full experimental characterization of the Green function in both amplitude and phase at ultrahigh spatial resolution This provides a powerful way to solve problems for which no analytic solution exists and where numerical simulations demand excessive computational resources. The measurements are performed at microwave frequencies, the results of the Green function characterization can be scaled to provide relevant information in the visible regime, where no such measurements are feasible This allows the optimization of the design of photonic structures to enhance resonant dipole-dipole interactions and cooperative effects. The general methodology described here can be broadly applied to characterize the electromagnetic response of a wide range of systems at ultrahigh spatial resolution and to improve our understanding of the rich physics of dipole-dipole interactions

THEORY

RESULTS AND DISCUSSION

CONCLUSION