Truncated SVD for Applications in Microwave Thermometry

• Microwave hyperthermia is a technique used to improve the therapeutic results of traditional cancer therapies. It consists of increasing the tumor temperature to the level of 40–44 ∘ C while keeping the surrounding healthy tissue at normal temperatures. It is hence fundamental to have a real-time temperature monitoring in order to adjust the focal point in the target. Mathematically, the problem of reconstructing the temperature change depending on measurements of scattered electric waves propagating in the material involves solving a volume integral equation. In order to solve it we construct a Tikhonov’s regularization functional and find optimal point of it. The paper analyzes performance of truncated singular value decomposition for 3D reconstruction of target during the process of microwave thermometry.

Ämnesord

NATURVETENSKAP  -- Matematik -- Beräkningsmatematik (hsv//swe)

NATURAL SCIENCES  -- Mathematics -- Computational Mathematics (hsv//eng)

NATURVETENSKAP  -- Fysik -- Atom- och molekylfysik och optik (hsv//swe)

NATURAL SCIENCES  -- Physical Sciences -- Atom and Molecular Physics and Optics (hsv//eng)

NATURVETENSKAP  -- Fysik -- Annan fysik (hsv//swe)

NATURAL SCIENCES  -- Physical Sciences -- Other Physics Topics (hsv//eng)

NATURVETENSKAP  -- Matematik (hsv//swe)

NATURAL SCIENCES  -- Mathematics (hsv//eng)

Nyckelord

Hyperthermia

Microwave imaging

Inverse scattering

Ill-posed problem

TSVD

Electromagnetic volume integral equation

Tikhonov functional

Electromagnetic volume integral equation

Hyperthermia

Ill-posed problem

Inverse scattering

Microwave imaging

Tikhonov functional

TSVD

Publikations- och innehållstyp

kon (ämneskategori)

ref (ämneskategori)