Markov chains for modeling complex luminescence, absorption, and scattering in nanophotonic systems
Abstract
We developed a method to model fluorescence, absorption, and scattering in nanophotonic systems using ergodic Markov chains. Past works have used absorbing Markov chains to find the long-run angle-dependent distribution of emitted photons. In contrast, we use ergodic Markov chains to focus on the steady state distribution of photons within various media, giving additional insight into the macroscopic optical response during illumination. We show that the method reproduces Beer-Lambert’s Law and Kirchhoff’s Law, and can quantify deviations from these laws when their assumptions are violated. We also use the method to model luminescent solar concentrators (LSCs) based on semiconductor nanocrystals.
Document Details
- Document Type
- Pub Defense Publication
- Publication Date
- Jan 26, 2021
- Source ID
- 10.1364/oe.416670
Entities
People
- A. Ryan Kutayiah
- Kenny Easwaran
- Matthew Sheldon
- Rivi Ratnaweera
- Smriti Kumar
Organizations
- Air Force Office of Scientific Research
- Gordon and Betty Moore Foundation
- Robert A. Welch Foundation
- Texas A&M University