Enhanced optical fields in a multilayered microsphere with a quasiperiodic spherical stack

Radiation of a nanosource placed in a microsphere with a quasiperiodic subwavelength spherical stack is studied. The spectral evolution of transmittance at the change of the thickness of two-layer blocks constructed following the Fibonacci sequence is investigated. When the number of layers (Fibonacci order) increases the structure of the spectrum acquires a fractal form. Our calculations show a rising strong field peak, when the ratio of width of layers in two-layer blocks of the stack is close to the golden mean value