Physical Sciences and Mathematics Commons^™

The Green Dyadic Formulation For Radiation Problems With Arbitrary Sources Embedded In Stratified Multi-Layer Structures : Application To Molecular Fluorescence Problems, Robert Lyle Hartman

Dissertations and Theses

The Green Dyadic method for computing fields due to current sources between parallel interfaces of dielectric materials is studied. Computer implementation of the method as presented in a well-known article leads to the conclusion that significant errors are present. Two dissimilar methods of solution lead to corrected formulations which are shown to be equivalent. The same correction is found in the research literature. For confirmation, computations are performed in examples involving an emitting dipole by both the Green dyadic method and Sommerfeld' s Hertz vector method. Finally, the computational examples are used to compute fluorescence decay rates for emitting dipoles …