The spectral transmission properties of a self-similar optical Fabry–Perot resonator are theoretically studied. The structure considered can be realized by alternation of two dielectric layers of different refractive indices such that the highest refractive-index layers belong to a triadic Cantor set. The transmission spectrum exhibits localized peaks inside forbidden frequency band gaps. This feature could be useful in the design of novel filters. Moreover the self-similarity of the structure is reflected in a weak self-similarity in the transmission spectrum. A comparison with a regular periodic structure is also presented.
© 1994 Optical Society of America
Original Manuscript: February 18, 1994
Published: June 1, 1994
M. Bertolotti, P. Masciulli, and C. Sibilia, "Spectral transmission properties of a self-similar optical Fabry–Perot resonator," Opt. Lett. 19, 777-779 (1994)