Gain through losses in nonlinear optics

Instabilities of uniform states are ubiquitous processes occurring in a variety of spatially extended nonlinear systems. These instabilities are at the heart of symmetry breaking, condensate dynamics, self-organization, pattern formation and noise amplification across diverse disciplines, including physics, chemistry, engineering and biology. In nonlinear optics, modulation instabilities are generally linked to the so-called parametric amplification process, which occurs when certain phase-matching or quasi-phase-matching conditions are satisfied. In the present review article, we summarize the principle results on modulation instabilities and parametric amplification in nonlinear optics, with special emphasis on optical fibres. We then review state-of-the-art research about a peculiar class of modulation instabilities and signal amplification processes induced by dissipation in nonlinear optical systems. Losses applied to certain parts of the spectrum counterintuitively lead to the exponential growth of the damped mode themselves, causing gain through losses. We discuss the concept of imaging of losses into gain, showing how to map a given spectral loss profile into a gain spectrum. We demonstrate with concrete examples that dissipation-induced modulation instability, apart from being of fundamental theoretical interest, may pave the way towards the design of a new class of tuneable fibre-based optical amplifiers, optical parametric oscillators, frequency comb sources and pulsed lasers

Intrachannel four-wave mixing in highly dispersed return-to-zero differential-phase-shift-keyed transmission with a nonsymmetric dispersion map.

Nonlinear penalties due to intrachannel four-wave mixing (IFWM) in highly dispersed return-to-zero differential-phase-shift-keyed transmission are studied for both symmetric and nonsymmetric dispersion maps. As the dispersion map changes from symmetric to nonsymmetric, the nonlinear amplitude fluctuation overtakes the effect of the nonlinear phase fluctuation and dominates the system's nonlinear performance. The effect of IFWM on the bit error rate is assessed by using the semianalytical method

Imaging of intracellular calcium in rat anterior pituitary cells in response to growth hormone releasing factor.

1. Changes in intracellular ionized calcium [Ca2+]i induced by human growth hormone releasing factor (hGRF) were analysed by quantitative fluorescent microscopy using a dual-wavelength, ratiometric video imaging system and low light level charge-coupled device (CCD) camera visualizing Fura-2 in dispersed male rat anterior pituitary cells. 2. In cells responding to hGRF, spontaneous basal oscillations in [Ca2+]i were frequently observed, and these were usually characterized by a gradient of [Ca2+]i localized in the subplasmalemmal region of the cell. 3. Of the cells which responded to hGRF, the peptide evoked a rise in [Ca2+]i, especially in the region of the subplasmalemma. Continuous application of 10 nM-hGRF produced several different temporal patterns of the [Ca2+]i response which were not attributable to spatial response profiles. A sustained rise in [Ca2+]i was the most common type of response to hGRF (44% of the cells examined). 4. One-third of the cells responding to 10 nM-hGRF showed spontaneous basal [Ca2+]i oscillations ranging from 100 to 500 nM. Mean values of basal and 10 nM-hGRF-induced [Ca2+]i of these cells were 81 +/- 11 nM (mean +/- S.E.M., n = 27) and 560 +/- 47 nM (n = 27) respectively. There was no significant correlation between basal [Ca2+]i and the hGRF-induced [Ca2+]i increase, nor was there any consistent correlation with regard to the spatial response profile. 5. Application of 2 mM-Co2+ abolished the hGRF-induced rise in [Ca2+]i. Quantitative analysis of this effect, performed by comparing the mean [Ca2+]i evoked during the application of hGRF with and without Co2+, respectively, also showed significant inhibition of the hGRF-induced rise in [Ca2+]i by the application of Co2+ (P less than 0.001). 6. The hGRF-induced rise in [Ca2+]i was completely suppressed by replacing extracellular Na+ with impermeant molecules such as mannitol. The onset and offset of suppression was as rapid as that induced by Co2+. Quantitative analysis showed significant inhibition of the hGRF-induced rise in [Ca2+]i by Na+ replacement (P less than 0.01). 7. Tetrodotoxin, a potent blocker of voltage-sensitive Na+ channels (5 and 20 microM), did not affect the hGRF-induced rise in [Ca2+]i. 8. Extracellular application of the membrane permeable dibutyryl cyclic AMP (DBcAMP) to elevate intracellular levels of cyclic AMP caused a large rise in [Ca2+]i, which was dependent on extracellular Na+ and was abolished by 2 mM-Co2+ applied in the bath.(ABSTRACT TRUNCATED AT 400 WORDS

Towards the Ultra-Sensitive Optical Link Enabled by Low Noise Phase-Sensitive Amplifiers

Optical phase-sensitive amplifiers (PSAs) are known to be capable, in principle, of realizing noiseless amplification and improving the signal-to-noise-ratio of optical links by 3 dB compared to conventional, phase-insensitively amplified links. However, current state-of-the-art PSAs are still far from being practical, lacking e.g. significant noise performance improvement, broadband gain and modulation-format transparency. Here we demonstrate experimentally, for the first time, an optical-fiber-based non-degenerate PSA link consisting of a phase-insensitive parametric copier followed by a PSA that provides broadband amplification, signal modulation-format independence, and nearly 6-dB link noise-figure (NF) improvement over conventional, erbium-doped fiber amplifier based links. The PSA has a record-low 1.1-dB NF, and can be extended to work with multiple wavelength channels with modest system complexity. This concept can also be realized in other materials with third-order nonlinearities, and is useful in any attenuation-limited optical link