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Properties of the z-Transform I01:17

Properties of the z-Transform I

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The z-transform is a fundamental tool in digital signal processing, enabling the analysis of discrete-time systems through its various properties. It is an invaluable tool for analyzing discrete-time systems, offering a range of properties that simplify complex signal manipulations. One fundamental property is linearity. For any two discrete-time signals, the z-transform of their linear combination equals the same linear combination of their individual z-transforms. This property is essential...
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Optical properties of ZnSe using linear response theory.

Nikhil Joshi1, Vijay Maurya1, K B Joshi1

  • 1Department of Physics, ML Sukhadia University, Udaipur 313001, India.

Journal of Physics. Condensed Matter : an Institute of Physics Journal
|March 10, 2023
PubMed
Summary

This study explores the electronic structure and optical properties of Zinc Selenide (ZnSe) using advanced computational methods. The findings offer accurate optical response predictions, validated against experimental data.

Keywords:
LRC kernelTD-DFTZnSelinear response theoryoptical properties

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Area of Science:

  • Condensed matter physics
  • Materials science
  • Computational materials science

Background:

  • Understanding the electronic structure and optical properties of semiconductor materials like Zinc Selenide (ZnSe) is crucial for optoelectronic applications.
  • Accurate theoretical prediction of optical response requires sophisticated computational approaches.

Purpose of the Study:

  • To investigate the electronic structure and optical response of ZnSe using first-principles calculations.
  • To apply linear response theory with novel kernels (bootstrap and long-range contribution) for optical property calculations.
  • To develop a method for determining material-dependent parameters in theoretical models.

Main Methods:

  • First-principles full-potential linearized augmented plane wave (FP-LAPW) method for electronic structure.
  • Linear response theory with bootstrap (BS) and long-range contribution (LRC) kernels for optical response.
  • Empirical pseudopotential method (EPM) for material-dependent parameter determination.

Main Results:

  • Calculated the electronic band structure and ground state properties of ZnSe.
  • Obtained optical properties including dielectric function, refractive index, reflectivity, and absorption coefficient.
  • The proposed LRC kernel parameterization shows results comparable to the BS kernel and experimental data.

Conclusions:

  • The first-principles calculations accurately predict the electronic and optical properties of ZnSe.
  • The novel application of LRC kernels in conjunction with a developed parameterization scheme provides reliable optical response data.
  • The study validates the computational approach for ZnSe and suggests its applicability to other materials.