Fractal-Like Square Lattice of Air Holes

Abstract

Fractal structures have been widely used in many fields of science, such as biology, physics and chemistry. In this article, we analyze the basic properties of a fractal-like square lattice of air holes, with most of the holes having a lattice constant of Λ while others are repeated with a lattice constant of 2Λ. We change the radii of these holes and analyze their effects on the bandgap regions and transmission properties. The analysis conducted here is based upon band diagrams and 2D Finite difference time-domain (FDTD) solution of the full-wave Maxwell's equations. We show that this structure provides flexibility in tuning the bandgap of the photonic crystal structure and we show the appearance of mini-bandgap regions along certain directions.

Hybrid Design of a Fractal-Shaped GSM/UMTS Antenna

“…Such a requirement becomes even more challenging when also a high degree of miniaturization is required. It has been demonstrated that fractal shapes [1]- [4] are suitable solutions for both miniaturization [5]- [10] and multi-band issues [11]- [14]. These results are enabled by two important properties of fractal geometries: the space-filling capability and the self-similarity.…”

Numerical Analysis of Apodized Fiber Bragg Gratings Using Coupled Mode Theory

“…A straight-forward application of the full-wave method [8][9][10][11][12][13] requires tremendous computer resources in order to sufficiently discretize 3-D (vectorial) field along an FBG fiber. It is possible, for example, to modify the recently published coupled transverse-mode integralequation (CTMIE) method [11][12][13] to accurately model the complex reflection and transmission coefficient matrices.…”

Interaction of Active MMIC with Package/Housing -Theory, Analysis and Measurement

“…The studies on shielding effectiveness of metallic cavities with apertures were discussed [17][18][19][20]. The papers [21,22] described the fractional square and rectangular cavity resonator. In [23], modeling and analysis of the package and different mitigation techniques were used to make stable, resonance free microwave amplifier for a C-band space borne SAR payload.…”