Analysis of Mie resonances using the Debye series

Area of Science:

• * Physics
• * Optics
• * Materials Science

Background:

• * Light scattering from homogeneous spherical particles exhibits sharp resonances.
• * These resonances, known as morphology-dependent resonances (MDRs) or whispering gallery modes, are typically analyzed using Mie theory.
• * Mie theory provides a comprehensive framework but can be complex to interpret for resonance characteristics.

Purpose of the Study:

• * To demonstrate the utility of the Debye series expansion for representing light scattering resonances.
• * To show how the Debye series offers a more succinct and understandable explanation of these phenomena.
• * To highlight the predictive power of Debye coefficients for resonance properties.

Main Methods:

• * Utilized the Debye series expansion as an alternative analytical tool.
• * Investigated the relationship between Debye coefficients and resonance characteristics.
• * Compared Debye series results with established Mie theory predictions.

Main Results:

• * The Debye series expansion provides a clear representation of morphology-dependent resonances.
• * Specific Debye coefficients, such as R_n121, directly determine resonance conditions.
• * The number of terms needed to match Mie theory results and the resonance Q-factor are predictable via the Debye coefficients.

Conclusions:

• * The Debye series expansion offers a valuable and simplified approach to understanding light scattering resonances in spherical particles.
• * This method enhances the interpretability of resonance phenomena compared to traditional Mie theory.
• * Debye coefficients serve as powerful indicators for predicting and characterizing resonance behavior.