Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Forward-Mode Differentiation of Maxwell's Equations   We present a previously unexplored forward-mode differentiation method for
Maxwell's equations, with applications in the field of sensitivity analysis.
This approach yields exact gradients and is similar to the popular adjoint
variable method, but provides a significant improvement in both memory and
speed scaling for problems involving several output parameters, as we analyze
in the context of finite-difference time-domain (FDTD) simulations.
Furthermore, it provides an exact alternative to numerical derivative methods,
based on finite-difference approximations. To demonstrate the usefulness of the
method, we perform sensitivity analysis of two problems. First we compute how
the spatial near-field intensity distribution of a scatterer changes with
respect to its dielectric constant. Then, we compute how the spectral power and
coupling efficiency of a surface grating coupler changes with respect to its
fill factor.

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The categories of this paper are: bayes-an
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The categories of this paper are: cmp-lg
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: cond-mat
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The categories of this paper are: q-alg
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The categories of this paper are: math-ph
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The categories of this paper are: q-bio
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The categories of this paper are: nucl-th
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The categories of this paper are: funct-an
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The categories of this paper are: gr-qc
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The categories of this paper are: alg-geom
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The categories of this paper are: eess
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The categories of this paper are: quant-ph
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The categories of this paper are: adap-org
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The categories of this paper are: solv-int