In this paper, we study the Nonlinear Fourier Transform of a signal formed by adding two time-separated pulses. By using the layer peeling property, we show that the eigenvalues of the signal are well approximated by the union of those for the two component pulses separately. The accuracy level of the approximation increases as the component pulses are further separated in time. Scattering coefficients and spectral amplitudes of the signal are also derived, which explain the correlation in eigenvalues, scattering coefficients and spectral amplitudes between the signal and the component pulses.
Motivated by available methods in quantum mechanics, we have developed a novel method to find the nonlinear Fourier transform (NFT) of optical signals. Using this approach, we are able to analytically solve the matrix eigenfunction-eigenvalue equation that describes NFT and reduce it to an ordinary first order scalar differential equation. This simplifies the processes of finding the NFT of any optical signal and can potentially lead to more efficient and accurate numerical methods to find NFT.
We study the properties of second order solitons with two nonlinear Fourier transform eigenvalues that are very close to each other. We have found that these solitons can be approximated with a linear combination of two fundamental solitons. The error in the approximation reduces as the gap between the eigenvalues reduces. This relation can be used to explain the correlation existing between eigenvalues, nonlinear spectral amplitudes and spectral phases and to encode information more efficiently on more packed second order soliton signals.
We report the design of a fibre optic-based redox detection system for investigating differences in metabolic
activities of tissues. Our system shows qualitative agreement with the results collected from a commercial two-
photon microscope system. Thus, demonstrating the feasibility of building an ex vivo and in vivo redox detection
system that is low cost and portable.
Passively mode-locked sub 200 fs pulses are generated from Er-Yb co-doped ZBLAN waveguide laser using a semiconductor saturable absorber mirror repetition rates of up to 533 MHz. At 156 MHz and 1556 nm central wavelength, the chip laser operates with a broad 25 nm bandwidth. The waveguides were written in the Er-Yb co-doped ZBLAN glass by using ultrafast laser inscription.
Access to the requested content is limited to institutions that have purchased or subscribe to SPIE eBooks.
You are receiving this notice because your organization may not have SPIE eBooks access.*
*Shibboleth/Open Athens users─please
sign in
to access your institution's subscriptions.
To obtain this item, you may purchase the complete book in print or electronic format on
SPIE.org.
INSTITUTIONAL Select your institution to access the SPIE Digital Library.
PERSONAL Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.