2019
DOI: 10.1364/optica.6.000269
|View full text |Cite
|
Sign up to set email alerts
|

Mapping complex mode volumes with cavity perturbation theory

Abstract: Microcavities and nanoresonators are characterized by their quality factors Q and mode volumes V. While Q is unambiguously defined, there are still questions on V and in particular on its complexvalued character, whose imaginary part is linked to the non-Hermitian nature of open systems. Helped by cavity perturbation theory and near field experimental data, we clarify the physics captured by the imaginary part of V and show how a mapping of the spatial distribution of both the real and imaginary parts can be d… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
2
1
1
1

Citation Types

0
50
0

Year Published

2019
2019
2023
2023

Publication Types

Select...
7
1

Relationship

1
7

Authors

Journals

citations
Cited by 47 publications
(50 citation statements)
references
References 26 publications
0
50
0
Order By: Relevance
“…First, it addresses the important case of degeneracy of the underlying bare resonator modes, and second, it considers changes in the resonator properties induced by the polarizable objects. This aspect relates to the perturbation theory of resonators 20,33,34 . Both features are essential for the properties reported hereafter.…”
Section: Resultsmentioning
confidence: 99%
See 1 more Smart Citation
“…First, it addresses the important case of degeneracy of the underlying bare resonator modes, and second, it considers changes in the resonator properties induced by the polarizable objects. This aspect relates to the perturbation theory of resonators 20,33,34 . Both features are essential for the properties reported hereafter.…”
Section: Resultsmentioning
confidence: 99%
“…Considering the symmetry of our system and the fact that we expect two perturbed solutions close to the unperturbed cavity (complex) frequency , the frequency shift of the two QNMs with respect to can be effectively parametrized through 28,33 where i designates equivalently 1 or 2, is the radial component of the WGM QNM and ±cos( m Δ θ ) accounts for the coherent addition of the two perturbers, which depends on their relative position in the mode profile of the S and AS mode. The denominator accounts for near- and mid-field hybridization correction effects on polarizability that are mediated by the background Green function from antenna to antenna.…”
Section: Resultsmentioning
confidence: 99%
“…Furthermore, established theories for the determination of cavity mode volume do not always predict the behavior of non‐Hermitian, or lossy, plasmonic cavities . While theories for modeling plasmonic cavity mode volumes have been proposed, questions remain calling for more precise measurements to inform further theoretical developments.…”
Section: Introductionmentioning
confidence: 99%
“…Moreover, Koenderink and coworker theoretically predicted that the tip induced perturbation is proportional to the local strength of the intensity of the electric field [30]. This prediction has been recently debated in view of the non-Hermitian nature of photonics [31]; still, in the limit of a relative high Q (>1000, to be on the safe side), the previous prediction is quite accurate. Therefore, by reporting on a map the strength of the tip induced spectral shift as a function of the tip position, it is possible to map with a high fidelity the electric field intensity of the cavity modes (see Figure 2).…”
Section: Methodsmentioning
confidence: 99%