Time domain topological gradient and time reversal analogy: an inverse method for ultrasonic target detection Export

@article{citeulike:3785436, abstract = {To find the shape and position of one or several obstacles embedded in a 2D or 3D elastic medium given ultrasonic measurements performed with a linear array of sensors, we use a topological gradient method. It consists in minimizing a cost function which evaluates the adequation between the measurements obtained for the inspected medium and measurements performed on a reference medium known as safe. The topological gradient is a function of both the solutions of the forward and adjoint problems. The mathematical solution of such an adjoint problem corresponds to a physical time reversal operation. This inverse method is therefore physically justified and inheritance of the refocusing properties of the time reversal phenomenon is expected.}, author = {Dominguez, N. and Gibiat, V. and Esquerre, Y.}, citeulike-article-id = {3785436}, citeulike-linkout-0 = {http://dx.doi.org/10.1016/j.wavemoti.2004.09.005}, citeulike-linkout-1 = {http://linkinghub.elsevier.com/retrieve/pii/S016521250400126X}, doi = {10.1016/j.wavemoti.2004.09.005}, issn = {01652125}, journal = {Wave Motion}, keywords = {inverse, time\_reversal}, month = {June}, number = {1}, pages = {31--52}, posted-at = {2008-12-13 14:29:33}, priority = {2}, title = {Time domain topological gradient and time reversal analogy: an inverse method for ultrasonic target detection}, url = {http://dx.doi.org/10.1016/j.wavemoti.2004.09.005}, volume = {42}, year = {2005} }

TY - JOUR ID - citeulike:3785436 L3 - citeulike-article-id:3785436 N2 - To find the shape and position of one or several obstacles embedded in a 2D or 3D elastic medium given ultrasonic measurements performed with a linear array of sensors, we use a topological gradient method. It consists in minimizing a cost function which evaluates the adequation between the measurements obtained for the inspected medium and measurements performed on a reference medium known as safe. The topological gradient is a function of both the solutions of the forward and adjoint problems. The mathematical solution of such an adjoint problem corresponds to a physical time reversal operation. This inverse method is therefore physically justified and inheritance of the refocusing properties of the time reversal phenomenon is expected. IS - 1 JF - Wave Motion SN - 01652125 EP - 52 TI - Time domain topological gradient and time reversal analogy: an inverse method for ultrasonic target detection VL - 42 SP - 31 KW - inverse KW - time_reversal AU - Dominguez, N AU - Gibiat, V AU - Esquerre, Y PY - 2005/06// UR - http://dx.doi.org/10.1016/j.wavemoti.2004.09.005 ER -