Abstract
The optical properties are investigated in a new type of one-dimensional photonic crystal, which consists of two-layer unit cells. The first layer consists of a material with a negative refractive index (NIM) and the other is made of AlxGa1−xAs with a positive refractive index (x is content of Al in GaAs slab). Based on the transfer matrix method (TMM) and the Maxwell’s equation the dependence of photonic bandgaps (PBGs) and omni-directional photonic bandgaps (OPBGs) on the geometrical structure, characteristic of incident light and the content parameter are studied theoretically, in both TE and TM polarization modes. The bandgap in the transmission spectrum originate from the Bragg’s condition in the superlattice, while the existence of the defect layer gives rise to defect modes in the photonic bandgaps. Our results may be useful to better control the position of bandgaps in the optical filters and sensors designing.
Highlights
The introduction of the concept of photonic crystals is attributed to a theoretical work of Yablonovich1 and an experimental work of John,2 which were almost simultaneously published in 1987
One-dimensional photonic crystals, constructed by stacking intermittent layers of positive index materials (PIMs) and negative index materials (NIMs), have a different type of photonic bandgap known as zero-averaged refractive index
In this work, we investigate an onedimensional photonic crystal containing two different sheets per unit cell
Summary
The introduction of the concept of photonic crystals is attributed to a theoretical work of Yablonovich and an experimental work of John, which were almost simultaneously published in 1987. One-dimensional photonic crystals, manufactured using metamaterials of negative refractive index, have a different photonic bandgap which is scale invariant. The propagation of electromagnetic waves in this type of material was first studied by Veselago in 1968.7 In normal materials, the relative permittivity and relative permeability are both positive, they are commonly known as positive index materials (PIMs). One-dimensional photonic crystals, constructed by stacking intermittent layers of PIM and NIM, have a different type of photonic bandgap known as zero-averaged refractive index (zero-n).. We studied the propagation of electromagnetic waves in a photonic crystal consisting of periodic bi-layers compressed between two half-infinite regions of the air, analytically..
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