R-matrix theory of driven electromagnetic cavities

Brief Review of the R-Matrix Theory

Resonance theory deals with the description of the nucleon-nucleus interaction and aims at the prediction of the experimental structure of cross sections. Resonance theory is basically an interaction model which treats the nucleus as a black box, whereas nuclear models are concerned with the description of the nuclear properties based on models of the nuclear forces (nuclear potential). Any the...

Eigenvalue Solvers for Electromagnetic Fields in Cavities

We investigate algorithms for computing steady state electromagnetic waves in cavities. The Maxwell equations for the strength of the electric eld are solved by (1) a penalty method using common linear and quadratic node-based nite elements, and (2) a mixed method with linear and quadratic nite edge elements for the eld values and corresponding node-based nite elements for the Lagrange multipli...

Two-atom dark states in electromagnetic cavities

Recent advances in cavity quantum electrodynamics have significantly expanded our understanding of the interaction between matter and the quantized electromagnetic field [1,2]. A central topic in these studies is the theoretical and experimental investigation of situations in which a single atom interacts with a small number of modes of the radiation field in high-Q optical or microwave resonat...

Shape determination for deformed electromagnetic cavities

The measured physical parameters of a superconducting cavity differ from those of the designed ideal cavity. This is due to shape deviations caused by both loose machine tolerances during fabrication and by the tuning process for the accelerating mode. We present a shape determination algorithm to solve for the unknown deviations from the ideal cavity using experimentally measured cavity data. ...

Time-dependent R -matrix theory for ultrafast atomic processes