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Symmetry Elements in a Crystal01:27

Symmetry Elements in a Crystal

Crystal symmetry operations are isometric transformations that map objects onto indistinguishable copies while preserving distances, angles, and volumes. The simplest symmetry operation is translation, which shifts the entire infinite crystal lattice parallelly by a translation vector.Crystallographic rotations involve rotations by an angle of 2π/n around an axis without changing the positions of points on the axis. It is called the rotational axis of the symmetry, denoted by n. The combination...
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Related Experiment Video

Updated: Jun 22, 2026

Fabrication And Characterization Of Photonic Crystal Slow Light Waveguides And Cavities
11:08

Fabrication And Characterization Of Photonic Crystal Slow Light Waveguides And Cavities

Published on: November 30, 2012

Unrestricted superlensing in a triangular two dimensional photonic crystal.

Xiwen Wang, Z Ren, K Kempa

    Optics Express
    |June 2, 2009
    PubMed
    Summary

    Researchers achieved unrestricted superlensing using a triangular photonic crystal. This breakthrough enables sub-wavelength imaging by following geometric optics rules with an effective refractive index of -1.

    Area of Science:

    • Photonics
    • Metamaterials
    • Optical Engineering

    Background:

    • Photonic crystals offer unique light manipulation properties.
    • Superlensing aims to overcome the diffraction limit for sub-wavelength imaging.
    • Existing superlensing methods often face limitations like anisotropy or restricted performance.

    Purpose of the Study:

    • To demonstrate unrestricted superlensing in a triangular two-dimensional photonic crystal.
    • To investigate the imaging properties of photonic crystal slab lenses.
    • To contrast superlensing behavior in triangular versus square photonic crystals.

    Main Methods:

    • Simulating light propagation through triangular and square photonic crystal slabs.
    • Analyzing light refraction using Snell's law at crystal interfaces.

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  • Calculating the effective refractive index and dielectric response of the photonic crystals.
  • Main Results:

    • Unrestricted superlensing was achieved in the triangular photonic crystal.
    • Light refraction followed geometric optics with an effective isotropic refractive index (n = -1).
    • Square photonic crystals exhibited anisotropic dielectric response, leading to restricted superlensing.

    Conclusions:

    • Triangular photonic crystals enable high-performance superlensing.
    • The effective isotropic refractive index of -1 is key to unrestricted superlensing.
    • Photonic crystal geometry significantly impacts superlensing capabilities and adherence to geometric optics.