Optical fractal resonances in Cantor-like photonic crystals

Abstract

We theoretically investigate the optical fractal effect in one-dimensional quasiperiodic photonic crystals (PCs). Dielectric multilayers arrayed alternately submit to the Cantor-like sequence rule. The optical fractal phenomenon is induced by modulating the generation number of the dielectric sequence. The optical fractal effect corresponds to a series of resonant modes, and the Cantor-like PCs approve more resonance modes than those in the Cantor PCs with the same order number. The transmission channels of resonances exponentially increase with the increase in the sequence generation number. Furthermore, the central waves of the transmission channels can be regulated by the incident angle flexibly. We expect this paper may pave a new way for the development of wavelength division multiplexers.

Optical fractal in cryogenic environments based on distributed feedback Bragg photonic crystals

“…As the external pressure increases, the central frequencies of the channels shift towards higher frequencies. In contrast to previous studies [40][41][42], under the optical fractal resonance condition, the frequency spacing between two adjacent resonant states is uniform in our work. This uniform channel spacing provides efficient optical signal transmission and multiplexing capabilities, enabling photonic crystals to have extensive potential applications in optical communication, sensing, and information processing.…”

“…As the frequency spacing between adjacent resonant states under standing wave resonance conditions is uniform in the spectrum, we consider using a composite of semiconductor materials and dielectrics to form a fractal structure [40][41][42]. This fractal structure can satisfy the condition of standing wave resonance of optical waves during transmission, thereby generating optical fractal effects and multiple fractal resonances.…”

Tunable Dual- and Multi-Channel Filter Based on Cantor Photonic Crystals Embedded With Graphene

“…The transmission mode has a peak value of transmittance and a very low reflectivity in quasi-periodic PCs, which well meets the design requirements of the narrowband filters [10], [11], [12]. The properties of quasi-periodic PCs can be changed by certain deterministic rules, such as Fibonacci [13], Octonacci [14], Thue-Morse [15], Rudin-Shapiro [16], and Cantor [17], [18], [19]. In addition, other studies conducted in the literature are also briefly discussed to show the importance of various quasi-periodic crystals [20], [21], [22].…”

Photonic Band Gap and Fractal Resonances in Aperiodic Cantor-like Self-Similar a:SiNx Photonic Structures

“…Light propagation and light–matter interactions in wavelength-order periodic photonic architectures without translational invariance offer unprecedented control over photon propagation and manipulation, unlike typical periodic structures. − On the other hand, aperiodic photonic structures have been the subject of investigation recently because of their controlled photonic band gap (PBG) and narrow transmission minibands, leading to their application capabilities. , Such investigations are largely theoretical to elucidate the aperiodic quasicrystals, such as Fibonacci and Thue-Morse structures, − while the experimental realization is particularly for the infrared spectral window applications . Among them, cantor sequence-based structures have particular importance due to their self-scaling properties and the specialty of the photonic band gap formation with multiple narrowband transmission windows. , A cantor set is a geometric set that has a self-replicating fractal structure that is obtained by the continuous iteration of a particular mathematical set.…”