Efficient and intuitive method for the analysis of light scattering by a resonant nanostructure

Area of Science:

• Electromagnetism
• Plasmonics
• Photonics

Background:

• Coupling electromagnetic sources with dissipative resonances is crucial for understanding plasmonic and photonic systems.
• Existing methods can be computationally intensive and lack intuitive physical insight.

Purpose of the Study:

• To develop a general and versatile semi-analytical formalism for modeling electromagnetic source coupling with dissipative resonances.
• To provide a computationally efficient and physically intuitive approach.

Main Methods:

• A semi-analytical formalism is developed to handle the coupling of electromagnetic sources (point dipoles, free-propagating fields) with various dissipative resonances.
• The formalism analytically determines excitation coefficients once resonator resonances are known, independent of source properties.
• Implementation is demonstrated using COMSOL software.

Main Results:

• The formalism analytically calculates excitation coefficients, offering computational economy.
• The approach is independent of source polarization, frequency, and location.
• Demonstrated versatility through implementation in commercial software (COMSOL).

Conclusions:

• The presented semi-analytical formalism offers an intuitive, physically sound, and computationally efficient method for analyzing electromagnetic source-dissipative resonance coupling.
• This versatile approach is applicable to a wide range of plasmonic and photonic systems.
• The formalism's analytical nature simplifies the excitation analysis process.