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Origin of the anisotropic Beer-Lambert law from dichroism and birefringence in β-Ga2O3

Adnan, Md Mohsinur Rahman ; Schubert, Mathias LU orcid and Myers, Roberto C. (2024) In Applied Physics Letters 125(8).
Abstract

The anisotropic optical absorption edge of β-Ga2O3 follows a modified Beer-Lambert law having two effective absorption coefficients. The absorption coefficient of linearly polarized light reduces to the least absorbing direction beyond a critical penetration depth, which itself depends on polarization and wavelength. To understand this behavior, a Stokes vector analysis is performed to track the polarization state as a function of depth. The weakening of the absorption coefficient is associated with a gradual shift of linear polarization to the least absorbing crystallographic direction in the plane, which is along the a-exciton within the (010) plane or along the b-exciton in the (001) plane. We show that strong... (More)

The anisotropic optical absorption edge of β-Ga2O3 follows a modified Beer-Lambert law having two effective absorption coefficients. The absorption coefficient of linearly polarized light reduces to the least absorbing direction beyond a critical penetration depth, which itself depends on polarization and wavelength. To understand this behavior, a Stokes vector analysis is performed to track the polarization state as a function of depth. The weakening of the absorption coefficient is associated with a gradual shift of linear polarization to the least absorbing crystallographic direction in the plane, which is along the a-exciton within the (010) plane or along the b-exciton in the (001) plane. We show that strong linear dichroism near the optical absorption edge causes this shift in β-Ga2O3, which arises from the anisotropy and spectral splitting of the physical absorbers, i.e., excitons. The linear polarization shift is accompanied by a variation in the ellipticity due to the birefringence of β-Ga2O3. Analysis of the phase relationship between the incoming electric field to that at a certain depth reveals the phase speed as an effective refractive index, which varies along different crystallographic directions. The critical penetration depth is shown to be correlated with the depth at which the ellipticity is maximal.

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publication status
published
subject
in
Applied Physics Letters
volume
125
issue
8
article number
081103
publisher
American Institute of Physics (AIP)
external identifiers
  • scopus:85201874394
ISSN
0003-6951
DOI
10.1063/5.0226902
language
English
LU publication?
yes
id
a8af6236-acf4-4820-91c5-20b907f94683
date added to LUP
2024-10-28 12:46:21
date last changed
2025-04-04 14:52:39
@article{a8af6236-acf4-4820-91c5-20b907f94683,
  abstract     = {{<p>The anisotropic optical absorption edge of β-Ga<sub>2</sub>O<sub>3</sub> follows a modified Beer-Lambert law having two effective absorption coefficients. The absorption coefficient of linearly polarized light reduces to the least absorbing direction beyond a critical penetration depth, which itself depends on polarization and wavelength. To understand this behavior, a Stokes vector analysis is performed to track the polarization state as a function of depth. The weakening of the absorption coefficient is associated with a gradual shift of linear polarization to the least absorbing crystallographic direction in the plane, which is along the a-exciton within the (010) plane or along the b-exciton in the (001) plane. We show that strong linear dichroism near the optical absorption edge causes this shift in β-Ga<sub>2</sub>O<sub>3</sub>, which arises from the anisotropy and spectral splitting of the physical absorbers, i.e., excitons. The linear polarization shift is accompanied by a variation in the ellipticity due to the birefringence of β-Ga<sub>2</sub>O<sub>3</sub>. Analysis of the phase relationship between the incoming electric field to that at a certain depth reveals the phase speed as an effective refractive index, which varies along different crystallographic directions. The critical penetration depth is shown to be correlated with the depth at which the ellipticity is maximal.</p>}},
  author       = {{Adnan, Md Mohsinur Rahman and Schubert, Mathias and Myers, Roberto C.}},
  issn         = {{0003-6951}},
  language     = {{eng}},
  number       = {{8}},
  publisher    = {{American Institute of Physics (AIP)}},
  series       = {{Applied Physics Letters}},
  title        = {{Origin of the anisotropic Beer-Lambert law from dichroism and birefringence in β-Ga<sub>2</sub>O<sub>3</sub>}},
  url          = {{http://dx.doi.org/10.1063/5.0226902}},
  doi          = {{10.1063/5.0226902}},
  volume       = {{125}},
  year         = {{2024}},
}