We have theoretically investigated a Tamm plasmon structure covered by subwavelength grating with quasicrystal symmetry using a finite element method. The possibility to support a number of high-Q hybrid optical eigenstates in such systems was demonstrated. The model structure consists of a GaAs/Al_(0.95)Ga_(0.05)As Bragg reflector covered with a F_6 subwavelength Fibonacci silver/PMMA coverage. The considered system with a quasicrystalline grating has interesting properties and can be used as light filtering and emission amplifying components of optoelectronic systems.
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