Study on numerical methods of wave propagation phenomena and its applications to information and energy transmission problems

信息或能量的传输可以通过波传播现象来实现。在这项研究中，我们处理了口语信息的传输和来自天线的不同频率的电磁辐射。我们利用两种方法将无界区域的问题归结为有界区域的问题，然后用有限元或有限差分法对问题进行离散。我们还发展了类似于弹性或电磁学中的能量传播现象的方法，并将该方法应用于地震学中的几个问题或磁共振成像中的电磁波加热现象。

Transmissions of information or energy can be performed by use of the wave propagation phenomena. In this study we treated the information transmission by spoken language and electromagnetic radiation with various frequencies from antennas. We developed the methods to reduce the problem in unbounded region into the one in a bounded region using two techniques and then discretized the problems by FEM or FDM. We also developed similar methods for energy propagation phenomena such as those in elasticity or in electromagnetism and applied the method to several problems in seismology or electromagnetic wave heating phenomena in MRI.