中文摘要：

变换光学基于麦克斯韦方程的形式不变性，可以任意地控制电磁场达到需要的空间分布，是最近光学及电子工程领域的热门研究方向。从历史发展的角度回顾了变换光学概念的产生历程，简要介绍变换光学的基本物理原理，并结合光学隐身、光学幻觉和波导工程等现代光学工程试验总结了在当前科学和工程领域中的代表性应用。介绍近期变换光学新概念框架的进展以及在声学、热学、量子波领域中应用的拓展，讨论变换光学未来理论和工程方面的发展方向。

英文摘要：

Transformation optics which relies on the formal invariance of Maxwell＇s equations under a spatial coordinate transformation, plays important roles in various branches of modern optics and technical application by providing schemes to tailor electromagnetic fields into desired spatial patterns. The concept development of transformation optics was reviewed and a briefly introduction was provided for the physical principles of transformation optics. Typical applications were discussed including invisibility cloaking, illusion optics and waveguiding and extensions on the manipulation of sonic waves, heat flows and quantum waves. Potential future developments of the concepts and applications of transformation optics were also discussed.