Error evaluation of Judd-Ofelt spectroscopic analysis.

Area of Science:

• Materials Science
• Spectroscopy
• Quantum Mechanics

Background:

• Judd-Ofelt (J-O) analysis is vital for understanding rare-earth-doped luminescent materials.
• Previous studies often omit error analysis for J-O intensity parameters (Ωᵢ) and radiative probabilities.
• Accurate error quantification is essential for reliable material characterization and application.

Discussion:

• This work introduces a novel error theory for J-O spectroscopic analysis.
• Two distinct methods, root mean square of difference in oscillator strengths (δfrms) and line strengths (δSrms), are explored for error evaluation.
• Explicit error expressions are derived for J-O parameters and radiative probabilities.

Key Insights:

• The developed theory provides a robust framework for error assessment in J-O spectroscopic studies.
• The two error analysis methods yield comparable results, validating their consistency.
• The theory is successfully applied to various rare-earth ions (Er³⁺, Tm³⁺, Ho³⁺, Nd³⁺) in diverse host matrices.

Outlook:

• This research paves the way for more rigorous and reliable J-O analyses in the field of luminescent materials.
• It enables precise evaluation of material performance for applications in lasers, lighting, and optical devices.
• Future work can extend this error analysis to other spectroscopic models and material systems.