Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Computation of eigenfrequency sensitivities using Riesz projections for
  efficient optimization of nanophotonic resonators   We present an approach for computing eigenfrequency sensitivities of
resonances. The theory is based on Riesz projections for Maxwell's equations.
Its numerical realization essentially relies on direct differentiation of
scattering problems. We use a numerical implementation to demonstrate the
performance of the approach compared to differentiation using finite
differences. The method is applied for the efficient optimization of the
quality factor of a nanophotonic resonator.

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The categories of this paper are: dg-ga
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The categories of this paper are: comp-gas
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The categories of this paper are: adap-org
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The categories of this paper are: atom-ph
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The categories of this paper are: math-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: gr-qc
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The categories of this paper are: funct-an
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The categories of this paper are: supr-con
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The categories of this paper are: q-alg
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The categories of this paper are: acc-phys
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The categories of this paper are: stat
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The categories of this paper are: hep-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: quant-ph
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The categories of this paper are: mtrl-th