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Related Concept Videos

Energy Bands in Solids01:01

Energy Bands in Solids

Isolated atoms have discrete energy levels that are well described by the Bohr model. And, it quantifies the energy of an electron in a hydrogen atom as En. Higher quantum numbers 'n' yield less negative, closer electron energy levels.
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Using Microwave and Macroscopic Samples of Dielectric Solids to Study the Photonic Properties of Disordered Photonic Bandgap Materials
10:35

Using Microwave and Macroscopic Samples of Dielectric Solids to Study the Photonic Properties of Disordered Photonic Bandgap Materials

Published on: September 26, 2014

Photonic band structure computations.

D Hermann, M Frank, K Busch

    Optics Express
    |May 7, 2009
    PubMed
    Summary
    This summary is machine-generated.

    We present a new multigrid algorithm for calculating electronic band structures. This method also enables precise computation of group velocities and effective photon masses, crucial for understanding pulse propagation in materials.

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    Using Microwave and Macroscopic Samples of Dielectric Solids to Study the Photonic Properties of Disordered Photonic Bandgap Materials
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    Published on: September 26, 2014

    Probe Type II Band Alignment in One-Dimensional Van Der Waals Heterostructures Using First-Principles Calculations
    13:56

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    Spectral and Angle-Resolved Magneto-Optical Characterization of Photonic Nanostructures

    Published on: November 21, 2019

    Area of Science:

    • Condensed matter physics
    • Computational materials science

    Background:

    • Accurate electronic band structure calculations are fundamental for predicting material properties.
    • Existing computational methods can be resource-intensive for complex systems.

    Purpose of the Study:

    • Introduce a novel algorithm for efficient band structure computation.
    • Extend the application of band structure results to derive key physical parameters.
    • Facilitate studies on wave propagation phenomena in materials.

    Main Methods:

    • Developed a new algorithm leveraging multigrid methods for electronic band structure calculations.
    • Integrated post-processing steps to compute group velocities from band structure data.
    • Derived effective photon masses using the calculated band structure and group velocities.

    Main Results:

    • The novel multigrid algorithm provides an efficient approach to band structure computations.
    • Successfully demonstrated the computation of group velocities and effective photon masses.
    • The derived parameters are directly applicable to the analysis of pulse propagation.

    Conclusions:

    • The proposed multigrid-based algorithm offers a computationally advantageous method for band structure analysis.
    • This work bridges electronic structure calculations with the study of wave dynamics in materials.
    • The findings are relevant for designing and understanding materials for optical and electronic applications.