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Updated: Jun 17, 2026

Recombination Dynamics in Thin-film Photovoltaic Materials via Time-resolved Microwave Conductivity

Recombination Dynamics in Thin-film Photovoltaic Materials via Time-resolved Microwave Conductivity

Published on: March 6, 2017

Implicitly causality enforced solution of multidimensional transient photon transport equation.

Chintha C Handapangoda¹, Malin Premaratne

¹Advanced Computing and Simulation Laboratory (AchiL), Department of Electrical and Computer Systems Engineering, Monash University, Clayton 3800, Victoria, Australia. Chintha.Handapangoda@eng.monash.edu.au

|January 7, 2010

Summary

A new method accurately solves the photon transport equation for laser pulses in tissue. It uses Laguerre expansion and discrete ordinates, minimizing errors for better biological tissue analysis.

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Area of Science:

Biomedical Optics
Computational Physics
Medical Imaging

Background:

Accurate modeling of laser pulse propagation in biological tissue is crucial for applications like photodynamic therapy and optical imaging.
Existing numerical methods for the transient photon transport equation often struggle with causality constraints and introduce significant errors.
The need for efficient and accurate computational tools for simulating light-tissue interactions is growing.

Purpose of the Study:

To present a novel numerical method for solving the multidimensional transient photon transport equation.
To accurately simulate laser pulse propagation in biological tissues.
To overcome limitations of existing methods regarding causality and numerical dispersion.

Main Methods:

Utilizing a Laguerre expansion to represent the time dependency of incident short pulses, ensuring causality.
Transforming the transient photon transport equation into a steady-state version.
Solving the transformed equations using the discrete ordinates method with a finite volume approach.
Employing higher-order approximations of discrete ordinate quadrature sets for enhanced accuracy.

Main Results:

The proposed method accurately preserves causality constraints of transient signals.
It effectively handles general anisotropic and inhomogeneous biological tissues within a single formulation.
The technique minimizes numerical dispersion and false propagation errors, leading to high-accuracy intensity representation.
Successful application demonstrated in one, two, and three-dimensional geometries.

Conclusions:

The novel Laguerre-based discrete ordinates method provides an accurate and flexible approach for simulating laser pulse propagation in biological tissues.
This method offers significant advantages over existing strategies by improving accuracy and reducing computational errors.
The formulation is suitable for diverse tissue properties and geometric complexities, advancing optical modeling in biomedicine.