1. 
 Bernland, Anders, et al.
(författare)

Physical limitations on the scattering of electromagnetic vector spherical waves
 2011

Ingår i: Journal of Physics A: Mathematical and Theoretical.  17518113. ; 44:14, s. 145401

Tidskriftsartikel (refereegranskat)abstract
 Understanding the interaction between electromagnetic waves and matter is vital in applications ranging from classical optics to antenna theory. This paper derives physical limitations on the scattering of electromagnetic vector spherical waves. The assumptions made are that the heterogeneous scatterer is passive, and has constitutive relations which are on convolution form in the time domain and anisotropic in the static limit. The resulting bounds limit the reflection coefficient of the modes over a frequency interval, and can thus be interpreted as limitations on the absorption of power from a single mode. They can be used within a wide range of applications, and are particularly useful for electrically small scatterers. The derivation follows a general approach to derive sum rules and physical limitations on passive systems on convolution form. The time domain versions of the vector spherical waves are used to describe the passivity of the scatterer, and a set of integral identities for Herglotz functions are applied to derive sum rules from which the physical limitations follow.


2. 
 Bernland, Anders, et al.
(författare)

Summation rules and physical bounds for partial wave scattering in electromagnetics
 2009

Ingår i: The 9:th International Conference on Mathematical and Numerical Aspects of Waves Propagation. ; s. 206207

Konferensbidrag (refereegranskat)abstract
 A general approach to derive summation rules in electromagnetics using Herglotz functions is presented in this paper. This approach is then used to obtain summation rules and bounds on partial wave scattering, which are illustrated numerically by the scattering of a Drude sphere.


3. 
 Fhager, Andreas, et al.
(författare)

Image Reconstruction in Microwave Tomography Using a Dielectric Debye Model
 2012

Ingår i: IEEE Transactions on Biomedical Engineering.  00189294. ; 59:1, s. 156166

Tidskriftsartikel (refereegranskat)abstract
 In this paper, quantitative dielectric image reconstruction based on broadband microwave measurements is investigated. A timedomainbased algorithm is derived where Debye model parameters are reconstructed in order to take into account the strong dispersive behavior found in biological tissue. The algorithm is tested with experimental and numerical data in order to verify the algorithm and to investigate improvements in the reconstructed image resulting from the improved description of the dielectric properties of the tissue when using broadband data. The comparison is made in relation to the more commonly used conductivity model. For the evaluation, two examples were considered, the first was a lossy saline solution and the second was less lossy tap water. Both liquids are strongly dispersive and used as a background medium in the imaging examples. The results show that the Debye model algorithm is of most importance in the tap water for a bandwidth of more than 1.5 GHz. Also the saline solution exhibits a dispersive behavior but since the losses restrict the useful bandwidth, the Debye model is of less significance even if somewhat larger and stronger artifacts can be seen in the conductivity model reconstructions


4. 
 Gustafsson, Mats, et al.
(författare)

Absorption Efficiency and Physical Bounds on Antennas
 2010

Ingår i: International Journal of Antennas and Propagation.  Hindawi Publishing Corporation.  16875869. ; 2010:Article ID 946746, s. 17

Tidskriftsartikel (refereegranskat)abstract
 Abstract—The all spectrum absorption efficiency appears in the physical bounds on antennas expressed in the polarizability dyadics. Here, it is shown that this generalized absorption efficiency is close to 1/2 for small idealized dipole antennas and for antennas with a dominant resonance in their absorption. Also, the usefulness of this parameter is analyzed for estimation of antenna performance. The results are illustrated with numerical data for several antennas.


5. 
 Gustafsson, Mats, et al.
(författare)

An overview of some recent physical bounds in scattering and antenna theory
 2009

Ingår i: 3rd European Conference on Antennas and Propagation. ; s. 17951798

Konferensbidrag (refereegranskat)abstract
 The objective of this paper is to give an overview of some recently developed sum rules and physical bounds in scattering and antenna theory. The sum rules are based on integral identities for Herglotz functions that relate the quantity of interest with its low and highfrequency behavior. The sum rules are transformed to bounds by estimating the integrals and applying variational results to the parameters that appear in the asymptotic expansions. The theoretical findings are exemplified by numerical results for various scattering and antenna configurations.


6. 
 Gustafsson, Mats, et al.
(författare)

Bandwidth, Q factor, and resonance models of antennas
 2006

Ingår i: Progress in Electromagnetics Research PIER. ; 62, s. 120

Tidskriftsartikel (refereegranskat)abstract
 In this paper, we introduce a ﬁrst order accurate resonance model based on a second order Pade approximation of the reﬂection coeﬃcient of a narrowband antenna. The resonance model is characterized by its Q factor, given by the frequency derivative of the reﬂection coeﬃcient. The BodeFano matching theory is used to determine the bandwidth of the resonance model and it is shown that it also determines the bandwidth of the antenna for suﬃciently narrow bandwidths. The bandwidth is expressed in the Q factor of the resonance model and the threshold limit on the reﬂection coeﬃcient. Spherical vector modes are used to illustrate the results. Finally, we demonstrate the fundamental diﬃculty of ﬁnding a simple relation between the Q of the resonance model, and the classical Q deﬁned as the quotient between the stored and radiated energies, even though there is usually a close resemblance between these entities for many real antennas.


7. 
 Gustafsson, Mats, et al.
(författare)

CramerRao Lower Bounds for Inverse Scattering Problems of Multilayer Structures
 2006

Ingår i: Inverse Problems. ; 22, s. 13591380

Tidskriftsartikel (refereegranskat)abstract
 In this paper, the inverse scattering problem of amultilayer structure is analysed with the Fisher information matrix and the Cramer–Rao lower bound (CRLB). The CRLB quantifies the illposedness of the inverse scattering problem in terms of resolution versus estimation accuracy based on the observation of noisy data. The limit for feasible inversion is identified by an asymptotic eigenvalue analysis of the Toeplitz Fisher information matrix and an application of the sampling theorem. It is shown that the resolution is inversely proportional to the bandwidth of the reflection data and that the CRLB increases linearly with the number of slabs. The transmission data give a rank1 Fisher information matrix which can approximately reduce the CRLB by a factor of 4. Moreover, the effect of dispersive material parameters and simultaneous estimation of two material parameters are analysed. The results are illustrated with numerical examples.


8. 
 Gustafsson, Mats, et al.
(författare)

On the spectral efficiency of a sphere
 2007

Ingår i: Progress in Electromagnetics Research.  EMW Publishing.  15598985. ; 67, s. 275296

Tidskriftsartikel (refereegranskat)abstract
 In many cases it is desired to have both high capacity and small antennas in wireless communication systems. Unfortunately, the antenna performance deteriorate when the antennas get electrically small. In this paper fundamental limitations from antenna theory and broadband matching are used to analyze the spectral efficiency of an arbitrary antenna inserted inside a sphere.


9. 
 Gustafsson, Mats, et al.
(författare)

Optimal Antenna Currents for Q, Superdirectivity, and Radiation Patterns Using Convex Optimization
 2013

Ingår i: IEEE Transactions on Antennas and Propagation.  0018926X. ; 61:3, s. 11091118

Tidskriftsartikel (refereegranskat)abstract
 The high Qfactor (low bandwidth) and low efficiency make the design of small antennas challenging. Here, convex optimization is used to determine current distributions that provide upper bounds on the antenna performance. Optimization formulations for maximal gain Qfactor quotient, minimal Qfactor for superdirectivity, and minimum Q for given farfields are presented. The effects of antennas embedded in structures are also discussed. The results are illustrated for planar geometries.


10. 
 Gustafsson, Mats, et al.
(författare)

Physical bounds and sum rules in scattering and antenna theory
 2009

Konferensbidrag (refereegranskat)abstract
 The objective of this paper is to review some recently developed sum rules and physical bounds in scattering and antenna theory. The sum rules are based on identities for Herglotz functions that relate the quantity of interest integrated over all wavelengths with its static polarizability dyadics. They are transformed to physical bounds by applying variational principles for the polarizability dyadics together with various estimates of the integrals. The theoretical findings are exemplified by numerical results for several configurations.

