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Gauss's Law in Dielectrics01:17

Gauss's Law in Dielectrics

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Consider a polar dielectric placed in an external field. In such a dielectric, opposite charges on adjacent dipoles neutralize each other, such that the net charge within the dielectric is zero. When a polar dielectric is inserted in between the capacitor plates, an electric field is generated due to the presence of net charges near the edge of the dielectric and the metal plates interface. Since the external electrical field merely aligns the dipoles, the dielectric as a whole is neutral. An...
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A Modified Model Dielectric Function for Analyzing Optical Spectra of InGaN Nanofilms on Sapphire Substrates.

Devki N Talwar1,2, Hao-Hsiung Lin3, Jason T Haraldsen1

  • 1Department of Physics, University of North Florida, 1 UNF Drive, Jacksonville, FL 32224-7699, USA.

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|April 11, 2025
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Summary

This study introduces a semiempirical method to analyze optical properties of Indium Gallium Nitride (InxGa1-xN) ultrathin films. The approach accurately predicts composition-dependent energy gaps, crucial for photonic device development.

Keywords:
GaNInxGa1−xN/Sapphire film thicknessabsorption and transmission spectramodel dielectric functionoptical constants of InNreflectivitytransfer matrix method

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Area of Science:

  • Materials Science
  • Optoelectronics
  • Solid State Physics

Background:

  • Indium Gallium Nitride (InxGa1-xN) on Sapphire substrates are vital for photonic devices due to tunable bandgaps.
  • Optical properties are critical for semiconductor applications, but studies on ultrathin InxGa1-xN films are lacking.
  • Existing methods for electronic band structure analysis are computationally intensive.

Purpose of the Study:

  • To develop a semiempirical approach for understanding the optical characteristics of InN, GaN, and InxGa1-xN.
  • To investigate the composition (x) and thickness (d) dependent optical properties of ultrathin InxGa1-xN/Sapphire epifilms.
  • To provide accurate predictions of energy gaps for InxGa1-xN with varying compositions.

Main Methods:

  • Developed a semiempirical approach incorporating inter-band transitions.
  • Integrated refractive indices of InxGa1-xN and sapphire into a transfer matrix method.
  • Simulated composition and thickness-dependent reflectivity (RE) and transmission (TE) spectra.

Main Results:

  • The semiempirical method accurately predicts optical properties of InN, GaN, and InxGa1-xN.
  • Simulations of RE and TE spectra provided insights into d- and x-dependent optical characteristics.
  • Accurate x-dependent shifts in energy gaps were determined for InxGa1-xN (x = 0.5, 0.7), matching experimental data.

Conclusions:

  • The developed semiempirical approach is effective for analyzing optical properties of InxGa1-xN ultrathin films.
  • This method offers a computationally efficient alternative to intensive methods for predicting optical characteristics.
  • The findings are valuable for the design and development of novel low-dimensional heterostructure-based photonic devices.