陈碧云, 张业荣, 潘鑫. ADI-FDTD方法在乳腺癌检测正向计算中的应用[J]. 电波科学学报, 2016, 31(5): 1016-1022. doi: 10.13443/j.cjors.2016013101
      引用本文: 陈碧云, 张业荣, 潘鑫. ADI-FDTD方法在乳腺癌检测正向计算中的应用[J]. 电波科学学报, 2016, 31(5): 1016-1022. doi: 10.13443/j.cjors.2016013101
      CHEN Biyun, ZHANG Yerong, PAN Xin. Application of ADI-FDTD method in the forward solver of early breast cancer detection[J]. CHINESE JOURNAL OF RADIO SCIENCE, 2016, 31(5): 1016-1022. doi: 10.13443/j.cjors.2016013101
      Citation: CHEN Biyun, ZHANG Yerong, PAN Xin. Application of ADI-FDTD method in the forward solver of early breast cancer detection[J]. CHINESE JOURNAL OF RADIO SCIENCE, 2016, 31(5): 1016-1022. doi: 10.13443/j.cjors.2016013101

      ADI-FDTD方法在乳腺癌检测正向计算中的应用

      Application of ADI-FDTD method in the forward solver of early breast cancer detection

      • 摘要: 传统的时域有限差分(Finite-Difference Time-Domain, FDTD)算法受到稳定性条件的制约, 时间步长受限于空间网格的尺寸.医学应用讲究即时性, 为提高成像的速度, 文中采用无条件稳定的交替隐式时域有限差分(Alternating-Direction Implicit Finite-Difference Time-Domain, ADI-FDTD)算法替代传统的FDTD算法进行正向计算, 通过实验得出采用ADI-FDTD算法在保证精度的前提下, 计算时间可缩短为FDTD算法的四分之一, 为乳腺癌微波即时成像提供了可能.

         

        Abstract: In the conventional finite-difference time-domain(FDTD) method, fine cells reduce the time-step size due to the Courant-Friedrich-Levy(CFL) stability condition, which results in an increase in computational effort, such as the central processing unit (CPU) time. In the alternating-direction implicit finite-difference time-domain(ADI-FDTD) method, a larger time-step size than allowed by the CFL stability condition limitation can be set because the algorithm of this method is unconditionally stable. Consequently, an increase in computational efforts caused by fine cells can be prevented. The simulation experiments data by the ADI-FDTD method were compared with that by the conventional FDTD method. The results show that simulation field by ADI-FDTD method agree quite well with that by the FDTD method, but the required CPU time can be much shorter than that for the FDTD method.

         

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