Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Transient and Steady-State Temperature Rise in Three-Dimensional
  Anisotropic Layered Structures in Pump-Probe Thermoreflectance Experiments   Recent developments of the pump-probe thermoreflectance methods (such as the
beam-offset and elliptical-beam approaches of the time-domain and
frequency-domain thermoreflectance techniques) enabled measurements of the
thermal conductivities of in-plane anisotropic materials. Estimating the
temperature rise of anisotropic layered structures under surface heating is
critically important to make sure that the temperature rise is not too high to
alias the signals in these experiments. However, a simple formula to estimate
the temperature rise in three-dimensional (3D) anisotropic layered systems
heated by a non-circular laser beam is not available yet, which is the main
problem we aim to solve in this work. We first re-derived general formalisms of
the temperature rise of a multilayered structure based on the previous
literature work by solving the 3D anisotropic heat diffusion equation in the
frequency domain. These general formalisms normally require laborious numerical
evaluation; however, they could be reduced to explicit analytical expressions
for the case of semi-infinite solids. We then extend the analytical expressions
to multilayered systems, taking into account the effect of the top layers. This
work not only enhances our understanding of the physics of temperature rise due
to surface laser heating but also enables quick estimation of the peak
temperature rise of 3D anisotropic layered systems in pump-probe
thermoreflectance experiments and thus greatly benefits the thermoreflectance
experiments in choosing the appropriate heating power intensity for the
experiments.

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The categories of this paper are: patt-sol
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
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The categories of this paper are: hep-lat
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The categories of this paper are: stat
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The categories of this paper are: bayes-an
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The categories of this paper are: ao-sci
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The categories of this paper are: math-ph
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The categories of this paper are: supr-con
1
The categories of this paper are: cs
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The categories of this paper are: dg-ga
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The categories of this paper are: q-bio
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The categories of this paper are: adap-org
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The categories of this paper are: comp-gas
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The categories of this paper are: plasm-ph
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The categories of this paper are: funct-an