Concept
Dirac comb
Related publications (32)
Versatile shaping of optical frequency combs and applications
Optical frequency combs are a series of phase-locked and equidistant laser lines in the spectral domain. In the time domain, they correspond to periodic pulse trains by the Fourier relation. The ability to shape optical combs and pulse trains is pivotal to ...
EPFL2021Spectral self-imaging of optical orbital angular momentum modes
Camille Sophie Brès, Jianqi Hu, Yin Chen, Yujie Chen
The Talbot self-imaging effect is mostly present in the forms of space or time, or in the frequency domain by the Fourier duality. Here, we disclose a new spectral Talbot effect arising in optical orbital angular momentum (OAM) modes. The effect occurs in ...
AIP Publishing2021Resonant Supercontinuum Generation in Normal and Anomalous Dispersion
Tobias Kippenberg, Junqiu Liu, Wenle Weng, Tobias Herr, Miles Henry Anderson
We demonstrate broadband resonant supercontinuum generation based on stable bright soliton formation in Si3N4 microresonators with either anomalous or normal dispersion. The frequency combs have an electronically detectable repetition rate of 28 GHz, and s ...
IEEE2020Functional Inverse Problems on Spheres: Theory, Algorithms and Applications
Matthieu Martin Jean-André Simeoni
Many scientific inquiries in natural sciences involve approximating a spherical field -namely a scalar quantity defined over a continuum of directions- from generalised samples of the latter (e.g. directional samples, local averages, etc). Such an approxim ...
EPFL2020On the Singular Local Limit for Conservation Laws with Nonlocal Fluxes
We give an answer to a question posed in Amorim et al. (ESAIM Math Model Numer Anal 49(1):19–37, 2015), which can loosely speaking, be formulated as follows: consider a family of continuity equations where the velocity depends on the solution via the convo ...
2019Method for estimating synchrophasors during static and dynamic conditions
Mario Paolone, Asja Derviskadic, Paolo Romano
A method for performing synchrophasor estimation of an input signal, whereby the input signal is a sinusoidal power system voltage or current signal, comprising: a. Periodic sampling of a continuous time-domain waveform, consisting of a power system voltag ...
2018Sampling Continuous-time Sparse Signals: A Frequency-domain Perspective
Martin Vetterli, Benjamin Bejar Haro
We address the problem of sampling and reconstruction of sparse signals with finite rate of innovation. We derive general conditions under which perfect reconstruction is possible for sampling kernels satisfying Strang-Fix conditions. Previous results on t ...
2018Signal processing apparatus and method for transmitting and receiving coherent parallel optical signals
A signal processing apparatus, being configured for transmitting and receiving coherent parallel optical signals, comprises a transmitter apparatus including a first single soliton micro-resonator device and a modulator device, wherein the first single sol ...
2018Self-referenced photonic chip soliton Kerr frequency comb
Tobias Kippenberg, Victor Brasch, Michael Wolfgang Geiselmann, Erwan Guillaume Albert Lucas, John David Jost
Self-referencing turns pulsed laser systems into self-referenced frequency combs. Such frequency combs allow counting of optical frequencies and have a wide range of applications. The required optical bandwidth to implement self-referencing is typically ob ...
2017Gaussian versus Sparse Stochastic Processes
Although our work lies in the field of random processes, this thesis was originally motivated by signal processing applications, mainly the stochastic modeling of sparse signals. We develop a mathematical study of the innovation model, under which a signal ...
EPFL2017