Picosecond scale experimental verification of a globally convergent algorithm for a coefficient inverse problem

Picosecond scale experimental verification of a globally convergent algorithm for a coefficient inverse problem
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DOI:
10.1088/0266-5611/26/4/045003
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发表时间:
2010-04-01
期刊:
影响因子:
2.1
通讯作者:
Schenk, John
Schenk, John
中科院分区:
数学2区
文献类型:
--
作者:
Klibanov, Michael V.;Fiddy, Michael A.;Schenk, John

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一个全局收敛的算法的第一和第三作者的三维双曲系数反问题进行了验证的实验数据测量的皮秒尺度制度。获得介电异常的可量化图像。一个探测器位置的100 ps脉冲的总测量时间为1.2 ns,两个连续读数之间的时间步长为20 ps(= 0.02 ns)。盲法试验始终证明了介电异常折射率的准确成像。同时指出,修正梯度法不适用于这类实验数据。该逆算法也适用于其他类型的成像模式,例如。G.声学.潜在的应用是在机场安全,成像地雷,成像的缺陷,在非分散测试等。
A globally convergent algorithm by the first and third authors for a 3D hyperbolic coefficient inverse problem is verified on experimental data measured in the picosecond scale regime. Quantifiable images of dielectric abnormalities are obtained. The total measurement timing of a 100 ps pulse for one detector location was 1.2 ns with 20 ps (= 0.02 ns) time step between two consecutive readings. Blind tests have consistently demonstrated an accurate imaging of refractive indexes of dielectric abnormalities. At the same time, it is shown that a modified gradient method is inapplicable to this kind of experimental data. This inverse algorithm is also applicable to other types of imaging modalities, e. g. acoustics. Potential applications are in airport security, imaging of land mines, imaging of defects in non-distractive testing, etc.