Two-dimensional function photonic crystals

TL;DR

This paper introduces two-dimensional function photonic crystals where dielectric constants vary with space, leading to different band gap structures compared to conventional photonic crystals, enabling tailored photonic properties.

Contribution

The paper proposes a new class of 2D function photonic crystals with spatially varying dielectric constants, expanding the design possibilities for photonic band gap engineering.

Findings

Band gaps differ from conventional photonic crystals.

Band gap structures can be tailored by changing dielectric function forms.

Potential for designing customized photonic devices.

Abstract

In this paper, we have firstly proposed two-dimensional function photonic crystals, which the dielectric constants of medium columns are the functions of space coordinates $\vec{r}$, it is different from the two-dimensional conventional photonic crystals constituting by the medium columns of dielectric constants are constants. We find the band gaps of two-dimensional function photonic crystals are different from the two-dimensional conventional photonic crystals, and when the functions form of dielectric constants are different, the band gaps structure should be changed, which can be designed into the appropriate band gaps structures by the two-dimensional function photonic crystals.