Nonlinear pulse compression technology permits practitioners to produce ultrashort pulses for integrated frequency comb generation and optical coherence tomography. However, on-chip simultaneous combination of two at 2.0 μm is a complex nonlinear dynamic that has never been reported. Here, we demonstrate raised cosine with the same center wavelengths are firstly coalesced into single combined t...

----Pulse Shaping Filters or Root Raised Cosine (RRC) low pass filters emerges as one of the hottest topic in field of Wireless Communication technology. Low pass filters are used for decimation and for interpolation. When decimating, low pass filters are used to reduce the bandwidth of a signal prior to reducing the sampling rate. This is done to minimize aliasing due to the reduction in the s...

We reveal three surprising properties of cosine families, distinguishing them from semigroups of operators: (1) A single trajectory of a cosine family is either strongly continuous or not measurable. (2) Pointwise convergence of a sequence of equibounded cosine families implies that the convergence is almost uniform for time in the entire real line; in particular, cosine families cannot be pert...

Polymer waveguide (WG) S-bends are necessary for fan-out routing techniques and optical splitting in high-density optical interconnects. Designing and manufacturing of optimal S-bends are critical for minimizing optical link loss while maintaining overall size and layout constraints. Complete structural loss analysis is demonstrated theoretically and shown experimentally utilizing both radial a...