Sizing dielectric spheres and cylinders by aligning measured and computed resonance locations: algorithm for multiple...

Area of Science:

• Physics
• Optical Sciences
• Materials Science

Background:

• Accurate determination of particle size is crucial in various scientific fields.
• Resonance phenomena in dielectric spheres and cylinders are sensitive to their physical dimensions.
• Existing methods may require prior knowledge of resonance orders, limiting their applicability.

Purpose of the Study:

• To present a novel algorithm for determining the size of dielectric spheres and cylinders.
• To enable size determination without prior knowledge of resonance orders.
• To validate the algorithm's performance with both synthetic and experimental data.

Main Methods:

• An algorithm is developed to align measured and computed resonance locations.
• The method relies on known refractive index, including dispersion, and uniform material properties.
• It is applicable to various scattering and emission spectra.

Main Results:

• The algorithm successfully determines the size of dielectric spheres and cylinders.
• It does not require a priori knowledge of resonance orders.
• Performance was validated using computed resonance locations (synthetic data) and measured fluorescence spectra of spheres with up to 5 resonance orders.

Conclusions:

• The presented algorithm offers a robust and flexible method for dielectric particle sizing.
• It simplifies the analysis of resonance spectra by removing the need for order identification.
• This technique has broad applicability in optical spectroscopy and material characterization.