Preface China and Professor Li Shixiong in Anhui University.I would like to express my thanks to them for their valuable suggestions. I would also like to express my thanks to Shanghai Scientific and Technical Publishers for its help with the present publication. I owe a lot to my wife Xiae Zhang,who continuously gave me her encouragement and support throughout the preparation of this book. In addition,I am grateful to the National Natural Science Foundation of China for their financial support of the inverse scattering research projects. The book is dedicated to my mother. NanKai University Tianjin People's Republic of China Zhengiu LuＣｈｉｎａａｎｄＰｒｏｆｅｓｓｏｒＬｉＳｈｉｘｉｏｎｇｉｎＡｎｈｕｉＵｎｉｖｅｒｓｉｔｙ．Ｉｗｏｕｌｄｌｉｋｅｔｏｅｘｐｒｅｓｓｍｙｔｈａｎｋｓｔｏ ｔｈｅｍｆｏｒｔｈｅｉｒｖａｌｕａｂｌｅｓｕｇｇｅｓｔｉｏｎｓ． ＩｗｏｕｌｄａｌｓｏｌｉｋｅｔｏｅｘｐｒｅｓｓｍｙｔｈａｎｋｓｔｏＳｈａｎｇｈａｉＳｃｉｅｎｔｉｆｉｃａｎｄＴｅｃｈｎｉｃａｌＰｕｂｌｉｓｈｅｒｓ ｆｏｒｉｔｓｈｅｌｐｗｉｔｈｔｈｅｐｒｅｓｅｎｔｐｕｂｌｉｃａｔｉｏｎ． ＩｏｗｅａｌｏｔｔｏｍｙｗｉｆｅＸｉａｅＺｈａｎｇ，ｗｈｏｃｏｎｔｉｎｕｏｕｓｌｙｇａｖｅｍｅｈｅｒｅｎｃｏｕｒａｇｅｍｅｎｔａｎｄ ｓｕｐｐｏｒｔｔｈｒｏｕｇｈｏｕｔｔｈｅｐｒｅｐａｒａｔｉｏｎｏｆｔｈｉｓｂｏｏｋ． Ｉｎａｄｄｉｔｉｏｎ，Ｉａｍ ｇｒａｔｅｆｕｌｔｏｔｈｅＮａｔｉｏｎａｌＮａｔｕｒａｌＳｃｉｅｎｃｅＦｏｕｎｄａｔｉｏｎｏｆＣｈｉｎａｆｏｒ ｔｈｅｉｒｆｉｎａｎｃｉａｌｓｕｐｐｏｒｔｏｆｔｈｅｉｎｖｅｒｓｅｓｃａｔｔｅｒｉｎｇｒｅｓｅａｒｃｈｐｒｏｊｅｃｔｓ． Ｔｈｅｂｏｏｋｉｓｄｅｄｉｃａｔｅｄｔｏｍｙｍｏｔｈｅｒ． ＮａｎＫａｉＵｎｉｖｅｒｓｉｔｙ Ｔｉａｎｊｉｎ ＰｅｏｐｌｅｓＲｅｐｕｂｌｉｃｏｆＣｈｉｎａ ＺｈｅｎｑｉｕＬｕ ４ 犘狉犲犳犪犮犲