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Testing for Convergence in Microwave Breast Tumour Detection

机译:微波乳腺肿瘤检测中的收敛性测试

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Finding an exact solution for some critical parameters of an internal object using the measured data is a challenging task in practical applications. The inverse method has to deal with two major situations. One is the noise which can be included in the measurement data and the other is the lack of information about the unknowns. When finding solutions to the inverse problem analytically, we have information about the exact values of the unknowns, but in practical applications this information is available only with certain limitations. This paper presents a scanning method of testing for convergence to detect an internal object using microwave measurements. Data acquisition is based on the system of a microwave scattering technique considering both forward and backscattered wave-fronts. A computational scanner is used to find solutions to both forward and inverse problems. Modelling of this application system has been aimed towards the in-vivo detection of a breast tumour, in particular, but this can be used for detecting an unknown object inside a host material in general. The internal object inside the model has been considered to be a sphere and the subsequent scattering problem has been solved using a three-dimensional coordinate system. The nonlinear inverse scattering problem is solved to find few unknowns so that the location and the size of the internal object like a breast tumour can be found using few microwave measurements.
机译:在实际应用中,使用测量的数据找到内部对象的某些关键参数的精确解决方案是一项艰巨的任务。逆方法必须处理两种主要情况。一个是可以包含在测量数据中的噪声,另一个是缺少有关未知数的信息。通过分析找到反问题的解决方案时,我们可以获得有关未知数确切值的信息,但是在实际应用中,只有在某些限制下才可以使用此信息。本文提出了一种使用微波测量来测试收敛性以检测内部物体的扫描方法。数据采集​​基于同时考虑前向和后向散射波前的微波散射技术系统。计算扫描仪用于查找正向和逆向问题的解决方案。特别地,该应用系统的建模旨在于乳腺肿瘤的体内检测,但是通常可以将其用于检测宿主材料内部的未知物体。模型内部的内部对象被认为是一个球体,随后的散射问题已使用三维坐标系解决。解决了非线性逆散射问题,以发现很少的未知数,从而可以使用少量的微波测量来找到内部物体(如乳腺肿瘤)的位置和大小。

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