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Anisotropic Beer-Lambert law in β - Ga2 O3 : Polarization-dependent absorption and photoresponsivity spectra

Adnan, Md Mohsinur Rahman ; Verma, Darpan ; Sturm, Chris ; Schubert, Mathias LU orcid and Myers, Roberto C. (2024) In Physical Review Applied 21(5).
Abstract

Due to its low symmetry, β-Ga2O3 exhibits a strongly anisotropic optical response. As a result, the absorption spectra change with the polarization state of the incoming photons. To understand this phenomenon, here we calculate the complete electromagnetic wave equation solutions as a function of linear polarization angle and photon energy for β-Ga2O3 using its previously measured complex dielectric function tensor. The significant off-diagonal terms in this tensor can result in a nonexponential decay in the photon flux, indicating that the Beer-Lambert law is not generally valid in this anisotropic material. However, for above-band-gap spectral regions that depend on crystallographic orientations [>5.8 eV (001-plane) and >5.2 eV... (More)

Due to its low symmetry, β-Ga2O3 exhibits a strongly anisotropic optical response. As a result, the absorption spectra change with the polarization state of the incoming photons. To understand this phenomenon, here we calculate the complete electromagnetic wave equation solutions as a function of linear polarization angle and photon energy for β-Ga2O3 using its previously measured complex dielectric function tensor. The significant off-diagonal terms in this tensor can result in a nonexponential decay in the photon flux, indicating that the Beer-Lambert law is not generally valid in this anisotropic material. However, for above-band-gap spectral regions that depend on crystallographic orientations [>5.8 eV (001-plane) and >5.2 eV (010-plane)], an effective absorption coefficient closely approximates the photon flux decay with depth. On the other hand, near the optical absorption edge [4.9-5.8 eV (001-plane) and 4.65-5.2 eV (010-plane)], the photon flux decay exhibits a sum of two exponential decays, such that two effective absorption coefficients are necessary to model the loss behavior versus the absorption depth. This behavior manifests from the presence of dichroism in β-Ga2O3. A single effective absorption coefficient can only be recovered for this energy range by augmenting the isotropic Beer-Lambert law with a critical penetration depth and polarization dependence. Using these results, we calculate the polarization-dependent photoresponsivity spectra for light polarized along different crystallographic directions.

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; ; ; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Physical Review Applied
volume
21
issue
5
article number
054059
publisher
American Physical Society
external identifiers
  • scopus:85195325033
ISSN
2331-7019
DOI
10.1103/PhysRevApplied.21.054059
language
English
LU publication?
yes
id
3980b044-10e7-41d7-a532-4a97326121bf
date added to LUP
2024-08-28 11:45:01
date last changed
2024-08-28 11:46:24
@article{3980b044-10e7-41d7-a532-4a97326121bf,
  abstract     = {{<p>Due to its low symmetry, β-Ga2O3 exhibits a strongly anisotropic optical response. As a result, the absorption spectra change with the polarization state of the incoming photons. To understand this phenomenon, here we calculate the complete electromagnetic wave equation solutions as a function of linear polarization angle and photon energy for β-Ga2O3 using its previously measured complex dielectric function tensor. The significant off-diagonal terms in this tensor can result in a nonexponential decay in the photon flux, indicating that the Beer-Lambert law is not generally valid in this anisotropic material. However, for above-band-gap spectral regions that depend on crystallographic orientations [&gt;5.8 eV (001-plane) and &gt;5.2 eV (010-plane)], an effective absorption coefficient closely approximates the photon flux decay with depth. On the other hand, near the optical absorption edge [4.9-5.8 eV (001-plane) and 4.65-5.2 eV (010-plane)], the photon flux decay exhibits a sum of two exponential decays, such that two effective absorption coefficients are necessary to model the loss behavior versus the absorption depth. This behavior manifests from the presence of dichroism in β-Ga2O3. A single effective absorption coefficient can only be recovered for this energy range by augmenting the isotropic Beer-Lambert law with a critical penetration depth and polarization dependence. Using these results, we calculate the polarization-dependent photoresponsivity spectra for light polarized along different crystallographic directions.</p>}},
  author       = {{Adnan, Md Mohsinur Rahman and Verma, Darpan and Sturm, Chris and Schubert, Mathias and Myers, Roberto C.}},
  issn         = {{2331-7019}},
  language     = {{eng}},
  number       = {{5}},
  publisher    = {{American Physical Society}},
  series       = {{Physical Review Applied}},
  title        = {{Anisotropic Beer-Lambert law in β - Ga2 O3 : Polarization-dependent absorption and photoresponsivity spectra}},
  url          = {{http://dx.doi.org/10.1103/PhysRevApplied.21.054059}},
  doi          = {{10.1103/PhysRevApplied.21.054059}},
  volume       = {{21}},
  year         = {{2024}},
}