Fractal Photonic Crystal Waveguides

Abstract

We propose a new class of one-dimensional (1D) photonic waveguides: the fractal photonic crystal waveguides (FPCWs). These structures are photonic crystal waveguides (PCWs) etched with fratal distribution of grooves such as Cantor bars. The transmission properties of the FPCWs are investigated and compared with those of the conventional 1D PCWs. It is shown that the FPCW transmission spectrum has self-similarity properties associated with the fractal distribution of grooves. Furthermore, FPCWs exhibit sharp localized transmissions peaks that are approximately equidistant inside the photonic band gap.

References in corpus (1)

• Spectral scalability as a result of geometrical self-similarity in fractal multilayers

Cited by in corpus (4)

• Optical properties of periodic, quasi-periodic, and disordered one-dimensional photonic structures
• Properties of defect modes in periodic lossy multilayer with negative index materials
• Properties of the defect modes in 1D lossy photonic crystals containing two types of negative-index-material defects
• Hidden symmetries in $N$-layer dielectric stacks