Model for confined Tamm plasmon devices

Abstract

It is shown that cavities formed between a multilayer quarter-wave Bragg\nreflector and a metal mirror which support Tamm plasmons can be modelled by\nusing a hard-mirror approximation including appropriate penetration depths into\nthe mirrors. Results from this model are in excellent agreement with those\nfound by numerical methods. In addition Tamm modes that are laterally confined\nby the presence of a metallic disc deposited on the Bragg reflector can be\ndescribed by the effective index model that is commonly used for\nvertical-cavity surface-emitting lasers (VCSELs). This enables the lateral\nmodes confined by a circular disc to be found from conventional weakly-guiding\nwaveguide theory similar to that used for optical fibres. The resonant\nwavelengths of these linearly-polarised (LP) guided modes are calculated as\nfunctions of disc diameter and other parameters.\n