Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Computation of High-Order Electromagnetic Field Derivatives with FDTD
  and the Complex-Step Derivative Approximation   This paper introduces a new approach for the computation of electromagnetic
field derivatives, up to any order, with respect to the material and geometric
parameters of a given geometry, in a single Finite-Difference Time-Domain
(FDTD) simulation. The proposed method is based on embedding the complex-step
derivative (CSD) approximation into the standard FDTD update equations. Being
finite-difference free, CSD provides accurate derivative approximations even
for very small perturbations of the design parameters, unlike finite-difference
approximations that are prone to subtractive cancellation errors. The
availability of accurate approximations of field derivatives with respect to
design parameters enables studies such as sensitivity analysis of multiple
objective functions (as derivatives of those can be derived from field
derivatives via the chain rule), uncertainty quantification, as well as
multi-parametric modeling and optimization of electromagnetic structures. The
theory, FDTD implementation and applications of this technique are presented.

23
The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th
27
The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys
4
The categories of this paper are: cond-mat
6
The categories of this paper are: astro-ph
22
The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph
7
The categories of this paper are: hep-th
25
The categories of this paper are: patt-sol
8
The categories of this paper are: hep-ex
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
18
The categories of this paper are: econ