Lohmann A W, Pe'er A, Wang D, Friesem A A
Department of Complex Systems, Weizmann Institute of Science, Rehovot, Israel.
J Opt Soc Am A Opt Image Sci Vis. 2000 Oct;17(10):1755-62. doi: 10.1364/josaa.17.001755.
"Flatland" is the title of a 120-year-old science fiction story. It describes the life of creatures living in a two-dimensional (2D) Flatland. A superior creature living in the three-dimensional (3D) spaceland, as we do, can easily inspect, for example, the inside of a Flatland house, as well as the content of a flat man's stomach without leaving any trace. Furthermore, the 3D person has supernatural powers that enable him to change the laws of physics in Flatland. We present here the concept of a 2D Flatland optics with one transversal coordinate x and one longitudinal coordinate z. The other transversal coordinate y allows total inspection of Flatland optics, and the freedom to change the wavelength, without using something like nonlinear optics or a Doppler shift. Monochromatic 3D light can be converted reversibly into polychromatic 2D light. A large variety of 2D systems and 2D effects will be presented here and in follow-up contributions. An epilogue faces the question, how "real" is Flatland optics?
《平面国》是一个有着120年历史的科幻故事的标题。它描述了生活在二维（2D）平面国中的生物的生活。如同我们一样，生活在三维（3D）空间国的高等生物可以轻松地检查，例如，平面国房屋的内部，以及扁平人的胃里的东西，且不留任何痕迹。此外，三维人拥有超自然能力，使他能够改变平面国的物理定律。我们在此提出一种二维平面国光学的概念，它有一个横向坐标x和一个纵向坐标z。另一个横向坐标y允许对平面国光学进行全面检查，并且有改变波长的自由度，而无需使用非线性光学或多普勒频移之类的东西。单色三维光可以可逆地转换为多色二维光。这里以及后续的文章中将展示各种各样的二维系统和二维效应。结语面对这样一个问题，平面国光学有多“真实”？
