A mathematical formalism for hyperspectral, multipoint plastic scintillation detectors

Area of Science:

• Physics
• Instrumentation
• Signal Processing

Background:

• Plastic Scintillation Detectors (PSDs) are crucial for radiation detection.
• Current mathematical formalisms for PSDs have limitations.
• Extending PSD capabilities requires new analytical approaches.

Purpose of the Study:

• To generalize and extend the mathematical formalism for plastic scintillation detectors (PSDs).
• To demonstrate the feasibility and advantages of multi-point PSD systems.
• To improve the precision, robustness, and ease of use of PSDs.

Main Methods:

• Developed a new mathematical formalism based on linear superposition of spectra.
• Created two calibration scenarios involving solving linear equations (Y = XB).
• Utilized numerical simulations, condition number analysis, and principal component analysis for validation and optimization.

Main Results:

• Confirmed the feasibility of multi-point PSDs, resolving six spectra with 10% Gaussian noise.
• Demonstrated that the new formalism yields more precise PSD measurements.
• Identified methods for selecting ideal calibration measurements and optimal wavelength filters.

Conclusions:

• Multi-point PSDs are achievable and offer enhanced performance.
• The novel formalism improves PSD accuracy and robustness.
• This work has implications for advanced applications like in vivo dose verification.