The highlights of the article under review are: (a) the role of transmission eigenvalues in {Tikhonov} regularisation, (b) the existence of transmission eigenvalues and (c) the relation between inhomogeneities of a scatterer and transmission eigenvalues. Many publications and articles, including the one under review, do not address the following properties: (m1) any material medium exhibits parameters (the matrices A and N of the article), which depend on frequency; (m2) the real and imaginary parts of permittivities and permeabilities are subject to the {Kramers-Kronig} relations.
Crosta, G. (2014). Mathematical Review: MR3178556 Harris, Isaac; Cakoni, Fioralba; Sun, Jiguang Transmission eigenvalues and non-destructive testing of anisotropic magnetic materials with voids. Inverse Problems 30 (2014), no. 3, 035016, 21 pp [Altro].
Mathematical Review: MR3178556 Harris, Isaac; Cakoni, Fioralba; Sun, Jiguang Transmission eigenvalues and non-destructive testing of anisotropic magnetic materials with voids. Inverse Problems 30 (2014), no. 3, 035016, 21 pp
CROSTA, GIOVANNI FRANCO FILIPPOPrimo
2014
Abstract
The highlights of the article under review are: (a) the role of transmission eigenvalues in {Tikhonov} regularisation, (b) the existence of transmission eigenvalues and (c) the relation between inhomogeneities of a scatterer and transmission eigenvalues. Many publications and articles, including the one under review, do not address the following properties: (m1) any material medium exhibits parameters (the matrices A and N of the article), which depend on frequency; (m2) the real and imaginary parts of permittivities and permeabilities are subject to the {Kramers-Kronig} relations.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.