This book presents the theory of adjoint sensitivity analysis for high
frequency applications through time-domain electromagnetic simulations
in MATLAB(R). This theory enables the efficient estimation of the
sensitivities of an arbitrary response with respect to all parameters in
the considered problem. These sensitivities are required in many
applications including gradient-based optimization, surrogate-based
modeling, statistical analysis, and yield analysis.
Using the popular FDTD method, the book shows how wideband sensitivities
can be efficiently estimated for different types of materials and
structures, and includes plenty of well explained MATLAB(R) examples to
help readers absorb the content more easily and to make the theory more
understandable to the broadest possible audience. Topics covered include
a review of FDTD and an introduction to adjoint sensitivity analysis;
the adjoint variable method for frequency-independent constitutive
parameters; sensitivity analysis for frequency-dependent objective
functions; transient adjoint sensitivity analysis; adjoint sensitivity
analysis with dispersive materials; adjoint sensitivity analysis of
anisotropic structures; nonlinear adjoint sensitivity analysis;
second-order adjoint sensitivities; and advanced topics.