Abstract:. (2007). Photoacoustic effect for multiply scattered light. Retrieved from http://repository.upenn.edu/be_papers/98Photoacoustic effect for multiply scattered light
AbstractWe consider the photoacoustic effect for multiply scattered light in a random medium. Within the accuracy of the diffusion approximation to the radiative transport equation, we present a general analysis of the sensitivity of a photoacoustic wave to the presence of one or more small absorbing objects. Applications to tumor detection by pho… Show more
“…The photo-acoustic effect refers to the generation of acoustic waves by the absorption of optical energy [30,17]. In photo-acoustic imaging, energy absorption causes thermo-elastic expansion of the tissue, which in turn leads to propagation of a pressure wave.…”
We consider for the wave equation the inverse problem of identifying locations of point sources and dipoles from limited-view data. Using as weights particular background solutions constructed by the geometrical control method, we recover Kirchhoff-, back-propagation-, MUSIC-, and arrival time-type algorithms by appropriately averaging limited-view data. We show that if one can construct accurately the geometric control, then one can perform imaging with the same resolution using limited-view as using full-view data.Mathematics Subject Classification (MSC2000): 35R30, 35L05
“…The photo-acoustic effect refers to the generation of acoustic waves by the absorption of optical energy [30,17]. In photo-acoustic imaging, energy absorption causes thermo-elastic expansion of the tissue, which in turn leads to propagation of a pressure wave.…”
We consider for the wave equation the inverse problem of identifying locations of point sources and dipoles from limited-view data. Using as weights particular background solutions constructed by the geometrical control method, we recover Kirchhoff-, back-propagation-, MUSIC-, and arrival time-type algorithms by appropriately averaging limited-view data. We show that if one can construct accurately the geometric control, then one can perform imaging with the same resolution using limited-view as using full-view data.Mathematics Subject Classification (MSC2000): 35R30, 35L05
“…The first method consists of a MUSIC-type algorithm while the second one uses a multi-frequency approach. It is worth mentioning, in connection with our reconstruction methods, the nice analysis of the sensitivity of a photo-acoustic wave to the presence of small absorbing objects in [16].…”
Section: Mathematical Formulationmentioning
confidence: 99%
“…The photo-acoustic effect is the physical basis for photo-acoustic imaging; it refers to the generation of acoustic waves by the absorption of optical energy [27,16]. In photo-acoustic imaging, energy absorption causes thermo-elastic expansion of the tissue, which in turn leads to propagation of a pressure wave.…”
This paper is devoted to mathematical modelling in photo-acoustic imaging of small absorbers. We propose a new method for reconstructing small absorbing regions inside a bounded domain from boundary measurements of the induced acoustic signal. We also show the focusing property of the backpropagated acoustic signal. Indeed, we provide two different methods for locating a targeted optical absorber from boundary measurements of the induced acoustic signal. The first method consists of a MUltiple Signal Classification (MUSIC) type algorithm and the second one uses a multi-frequency approach. We also show results of computational experiments to demonstrate efficiency of the algorithms.
“…For physical descriptions of the photo-acoustic and thermo-acoustic effects, we refer the reader to the works [5,6,7,11,25,26] and their references. For the mathematical aspects of the first step in thermo-and photo-acoustics, namely the reconstruction of the absorbed radiation map from boundary acoustic wave measurements, we refer the reader to e.g.…”
Abstract. Thermo-acoustic tomography is a hybrid medical imaging modality that aims to combine the good optical contrast observed in tissues with the good resolution properties of ultrasounds. Thermo-acoustic imaging may be decomposed into two steps. The first step aims at reconstructing an amount of electromagnetic radiation absorbed by tissues from boundary measurements of ultrasounds generated by the heating caused by these radiations. We assume this first step done. Quantitative thermo-acoustics then consists of reconstructing the conductivity coefficient in the equation modeling radiation from the now known absorbed radiation. This second step is the problem of interested in this paper.Mathematically, quantitative thermo-acoustics consists of reconstructing the conductivity in Maxwell's equations from available internal data that are linear in the conductivity and quadratic in the electric field. We consider several inverse problems of this type with applications in thermo-acoustics as well as in acousto-optics. In this framework, we obtain uniqueness and stability results under a smallness constraint on the conductivity. This smallness constraint is removed in the specific of a scalar model for electromagnetic wave propagation for appropriate illuminations constructed by the method of complex geometric optics (CGO) solutions.
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