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**Harvard**

Jacobsson, P. (2009) *Shape and material optimization for antenna applications*. Göteborg : Chalmers University of Technology (Doktorsavhandlingar vid Chalmers tekniska högskola. Ny serie, nr: 2970).

** BibTeX **

@book{

Jacobsson2009,

author={Jacobsson, Per},

title={Shape and material optimization for antenna applications},

isbn={978-91-7385-289-0},

abstract={In this thesis, a gradient-based method for shape and material optimization for
two antenna applications is presented: minimization of the active reflection
coefficient for conformal array antennas; and minimization of the total
scattering cross section for cylindrical scatterers. The sensitivity of the
objective function with respect to changes of the shape and material of the geometry is
expressed in terms of the original field problem and an adjoint field problem.
This makes the computational cost of calculating the sensitivity independent of
the number of design variables used to parameterize the geometry of the problem.
Moreover, since the sensitivity is based on the continuum form of Maxwell's
equations, the method is flexible with respect to the choice of field solver.
The problem of minimizing the active reflection coefficient for conformal array
antennas is tested in two dimensions for antenna elements that conform to a
circular cylinder. Both uniform arrays and arrays where the antenna elements
only cover part of the cylinder are considered. The minimization problem for the
total scattering cross section is tested in two dimensions for metal cylinders
and metal cylinders coated with a dielectric material. For both applications,
the objective function is reduced significantly in a relatively small number of
iterations.
A finite element approach to treating curved boundaries in a finite-difference
scheme on a Cartesian mesh is presented. It is based on Nitsche's method of
applying boundary conditions for interfaces that do not conform to the mesh
and uses explicit time stepping for the elements that are not cut by the
interface and implicit time stepping for the elements that are cut by the
interface. The method is tested for an eigenvalue problem in two dimensions and
second-order convergence is observed.},

publisher={Institutionen för signaler och system, Signalbehandling, Chalmers tekniska högskola,},

place={Göteborg},

year={2009},

series={Doktorsavhandlingar vid Chalmers tekniska högskola. Ny serie, no: 2970},

keywords={shape and material optimization, sensitivity analysis, array antennas, total scattering cross section, finite element method, explicit-implicit time stepping, Nitsche's method},

note={144},

}

** RefWorks **

RT Dissertation/Thesis

SR Print

ID 93397

A1 Jacobsson, Per

T1 Shape and material optimization for antenna applications

YR 2009

SN 978-91-7385-289-0

AB In this thesis, a gradient-based method for shape and material optimization for
two antenna applications is presented: minimization of the active reflection
coefficient for conformal array antennas; and minimization of the total
scattering cross section for cylindrical scatterers. The sensitivity of the
objective function with respect to changes of the shape and material of the geometry is
expressed in terms of the original field problem and an adjoint field problem.
This makes the computational cost of calculating the sensitivity independent of
the number of design variables used to parameterize the geometry of the problem.
Moreover, since the sensitivity is based on the continuum form of Maxwell's
equations, the method is flexible with respect to the choice of field solver.
The problem of minimizing the active reflection coefficient for conformal array
antennas is tested in two dimensions for antenna elements that conform to a
circular cylinder. Both uniform arrays and arrays where the antenna elements
only cover part of the cylinder are considered. The minimization problem for the
total scattering cross section is tested in two dimensions for metal cylinders
and metal cylinders coated with a dielectric material. For both applications,
the objective function is reduced significantly in a relatively small number of
iterations.
A finite element approach to treating curved boundaries in a finite-difference
scheme on a Cartesian mesh is presented. It is based on Nitsche's method of
applying boundary conditions for interfaces that do not conform to the mesh
and uses explicit time stepping for the elements that are not cut by the
interface and implicit time stepping for the elements that are cut by the
interface. The method is tested for an eigenvalue problem in two dimensions and
second-order convergence is observed.

PB Institutionen för signaler och system, Signalbehandling, Chalmers tekniska högskola,

T3 Doktorsavhandlingar vid Chalmers tekniska högskola. Ny serie, no: 2970

LA eng

OL 30