We investigated the spectral response of complex fiber micro-knots. We found reach spectral response for both transmitted and reflected light from these complex micro-knots. We analyzed these complex micro-knots and found good agreement between the calculated and the measured results.
We developed the concept of temporal depth imaging and defined non-flat signals as signals with different dispersion values as a function of time. We demonstrated how shifting the timing of a time lens makes it possible to retrieve the dispersion value of each point in the signal, which is equivalent to a 3D imaging system. Finally, we demonstrated how a time lens array can retrieve these values with a single measurement by comparing the different images obtained by the time lens array.
We developed temporal super-resolution technique by adopting super-resolution techniques from space to time. Similar to spatial optics, where knowledge about the basic building blocks of the image can lead to better resolution, as demonstrated by localization microscopy techniques. We are utilizing our knowledge on the shape and duration of the pulses to retrieve a super-resolution image in the time domain of an input signal. The resolution of our time-lens is much lower than the needed resolution to obtain the signal but never-the-less we obtain a temporal image with high resolution.
We investigated ultrafast rogue waves in fiber lasers and found three different patterns of rogue waves: single- peaks, twin-peaks, and triple-peaks. The statistics of the different patterns as a function of the pump power of the laser reveals that the probability for all rogue waves patterns increase close to the laser threshold. We developed a numerical model which prove that the ultrafast rogue waves patterns result from both the polarization mode dispersion in the fiber and the non-instantaneous nature of the saturable absorber. This discovery reveals that there are three different types of rogue waves in fiber lasers: slow, fast, and ultrafast, which relate to three different time-scales and are governed by three different sets of equations: the laser rate equations, the nonlinear Schrodinger equation, and the saturable absorber equations, accordingly. This discovery is highly important for analyzing rogue waves and other extreme events in fiber lasers and can lead to realizing types of rogue waves which were not possible so far such as triangular rogue waves.
Modern networks implement multi-layer encryption architecture to increase network security, stability, and robustness. We developed a new paradigm for optical encryption based on the strengths of optics over electronics and according to temporal optics principles. We developed a highly efficient all-optical encryption scheme for modern networks. Our temporal encryption scheme exploits the strength of optics over electronics. Specifically, we utilize dispersion together with nonlinear interaction for mixing neighboring bits with a private key. Our system encrypts the entire network traffic without any latency, encrypt the signal itself, exploit only one non- linear interaction, it is energetically efficient with low ecologic footprint, and can be added to current networks without replacing the hardware such as the lasers, the transmitters, the routers, the amplifiers or the receivers. Our method can replace current slow encryption methods or can be added to increase the security of existing systems. In this paper, we elaborate on the theoretical models of the system and how we evaluate the encryption strength with this numerical tools.
We present fusing of fiber micro-knot by CO2 laser which fixes the micro-fibers in place and stabilizing the micro-knot shape, size and orientation. This fusing enables tuning of the coupling strength, the free-spectral range and the birefringence of the fiber micro-knot. Fused micro-knots are superior over regular micro-knots and we believe that fusing of micro-knots should be a standard procedure in fabricating fiber micro-knots.
We present long period fiber gratings which are constructed of periodic changes in the fiber diameter. Our long period fiber gratings induce strong coupling between the different modes and as such have wider bandwidth and even off-resonance spectral response. We present both calculated and measured results of these long period fiber gratings.