טכניון מכון טכנולוגי לישראל
הטכניון מכון טכנולוגי לישראל - בית הספר ללימודי מוסמכים  
M.Sc Thesis
M.Sc StudentMoshe-Ishay Cohen
SubjectSelf-Imaging of Optical Wavepackets Induced by the Curvature
of Space in Photonic Lattices
DepartmentDepartment of Physics
Supervisor ? 18? Segev Mordechai
Full Thesis textFull thesis text - English Version


Abstract

This work sets the theoretical framework to implement periodic potentials and artificial gauge fields for light in Curved Space (CS). Specifically, I was interested in diffraction management scheme controlled by the curvature of space, up to a full cancelation of the diffraction at predesigned locations, restoring the initial shape of the incident light, a phenomenon that we will define as the revival of the wavepacket. Diffraction management is a widely investigated field in optics, and is in the basis of any imaging system (such as the cameras that can be found nowadays in almost every phone). Revivals and self-imaging share an intimate connection, as both describe in essence the same phenomenon, the restoration of a signal after either some temporal (for revivals) or spatial (for self-imaging) evolution in a system.

The self-imaging can be achieved for selected waveforms, by shaping the incident light to be of a specific structure that restores itself at known intervals. This method is being greatly deployed in the industry (e.g. lithography). Another imaging method which is used to a large extent is controlling the media in which the light travels, to cancel the normal diffraction of the light, and restore the original shape of the EM field at a predesigned location (e.g. the retina in our eyes, or the CCD sensors at modern cameras). Imaging is still an active research field, as the Nobel prize in Chemistry of 2014 was awarded “for the development of super-resolved fluorescence microscopy”[1], which is essentially a new imaging technique, where their pioneering methods overcomes one of the most major limitations in imaging: the diffraction limited resolution.

In my work, I combine the vast knowledge accumulated on the connection between condensed matter physics and photonics, and the connection between general relativity and photonics, to give the first proposition of an experimental system that Introduces General Relativity concepts into the rich world of Condensed Matter Physics using Photonics. Specifically, I study periodic potentials and artificial gauge fields acting on light under the influence of curved space, and using revivals as a canonical example of the unique features of curved space in such systems.


[1] Balksjö Nannini, J. The Nobel Prize in Chemistry 2014. The Royal Swedish Academy of Science (2014). doi:10.5363/tits.7.7_41