Bifurcation and asymptotics of cubically nonlinear transverse magnetic surface plasmon polaritons (Q6558318)

This paper extends the analysis of plasmons polaritons done in [\textit{T. Dohnal} and \textit{G. Romani}, NoDEA, Nonlinear Differ. Equ. Appl. 28, No. 1, Paper No. 9, 30 p. (2021; Zbl 1475.35221)] in the transverse electric case to the transverse magnetic case.\N\NTwo main differences: first this setting is vectorial. Linear analysis is more involved. The nonlinear bifurcation analysis however follows closely the quoted paper. Second, numerical calculations are provided illustrating the complex nature of the bifurcation equation. A numerical example also illustrates the realness of the eigenvalue expansion (bifurcation) for space-time reflection symmetric materials.