Amplitude modulation of quantum-ion-acoustic wavepackets in electron-positron-ion plasmas: Modulational instability, envelope modes, extreme waves

A semirelativistic fluid model is employed to describe the nonlinear amplitude modulation of low-frequency (ionic scale) electrostatic waves in an unmagnetized electron-positron-ion plasma. Electrons and positrons are assumed to be degenerated and inertialess, whereas ions are warm and classical. A multiscale perturbation method is used to derive a nonlinear Schrödinger equation for the envelope amplitude, based on which the occurrence of modulational instability is investigated in detail. Various types of localized ion acoustic excitations are shown to exist, in the form of either bright type envelope solitons (envelope pulses) or dark-type envelope solitons (voids, holes). The plasma configurational parameters (namely, the relativistic degeneracy parameter, the positron concentration, and the ionic temperature) are shown to affect the conditions for modulational instability significantly, in fact modifying the associated threshold as well as the instability growth rate. In particular, the relativistic degeneracy parameter leads to an enhancement of the modulational instability mechanism. Furthermore, the effect of different relevant plasma parameters on the characteristics (amplitude, width) of these envelope solitary structures is also presented in detail. Finally, the occurrence of extreme amplitude excitation (rogue waves) is also discussed briefly. Our results aim at elucidating the formation and dynamics of nonlinear electrostatic excitations in superdense astrophysical regimes.

Notes on analogue and digital amplitude modulation

Notes on AM, DSBSC, QAM, BPSK, 4QAM, 8PSK, 16QAM

EEG amplitude modulation analysis for semi-automated diagnosis of Alzheimer's disease

Recent experimental evidence has suggested a neuromodulatory deficit in Alzheimer's disease (AD). In this paper, we present a new electroencephalogram (EEG) based metric to quantitatively characterize neuromodulatory activity. More specifically, the short-term EEG amplitude modulation rate-of-change (i.e., modulation frequency) is computed for five EEG subband signals. To test the performance of the proposed metric, a classification task was performed on a database of 32 participants partitioned into three groups of approximately equal size: healthy controls, patients diagnosed with mild AD, and those with moderate-to-severe AD. To gauge the benefits of the proposed metric, performance results were compared with those obtained using EEG spectral peak parameters which were recently shown to outperform other conventional EEG measures. Using a simple feature selection algorithm based on area-under-the-curve maximization and a support vector machine classifier, the proposed parameters resulted in accuracy gains, relative to spectral peak parameters, of 21.3% when discriminating between the three groups and by 50% when mild and moderate-to-severe groups were merged into one. The preliminary findings reported herein provide promising insights that automated tools may be developed to assist physicians in very early diagnosis of AD as well as provide researchers with a tool to automatically characterize cross-frequency interactions and their changes with disease.

Linear dispersive pre-defined peak amplitude modulation of spectrally modulated airy-based pulses

Spectrally modulated Airy-based pulses peak amplitude modulation (PAM) in linear dispersive media is investigated, designed, and numerically simulated. As it is shown here, it is possible to design the spectral modulation of the initial Airy-based pulses to obtain a pre-defined PAM profile as the pulse propagates. Although optical pulses self-amplitude modulation is a well-known effect under non-linear propagation, the designed Airy-based pulses exhibit PAM under linear dispersive propagation. This extraordinary linear propagation property can be applied in many kinds of dispersive media, enabling its use in a broad range of experiments and applications. © 2013 Optical Society of America.

Modulateurs intégrés sur silicium pour la transmission de signaux à modulation d'amplitude multi-niveau

Au cours des dernières années, la photonique intégrée sur silicium a progressé rapidement. Les modulateurs issus de cette technologie présentent des caractéristiques potentiellement intéressantes pour les systèmes de communication à courte portée. En effet, il est prévu que ces modulateurs pourront être opérés à des vitesses de transmission élevées, tout en limitant le coût de fabrication et la consommation de puissance. Parallèlement, la modulation d’amplitude multi-niveau (PAM) est prometteuse pour ce type de systèmes. Ainsi, ce travail porte sur le développement de modulateurs de silicium pour la transmission de signaux PAM. Dans le premier chapitre, les concepts théoriques nécessaires à la conception de modulateurs de silicium sont présentés. Les modulateurs Mach-Zehnder et les modulateurs à base de réseau de Bragg sont principalement abordés. De plus, les effets électro-optiques dans le silicium, la modulation PAM, les différents types d’électrodes intégrées et la compensation des distorsions par traitement du signal sont détaillés.Dans le deuxième chapitre, un modulateur Mach-Zehnder aux électrodes segmentées est présenté. La segmentation des électrodes permet la génération de signaux optiques PAM à partir de séquences binaires. Cette approche permet d’éliminer l’utilisation de convertisseur numérique-analogique en intégrant cette fonction dans le domaine optique, ce qui vise à réduire le coût du système de communication. Ce chapitre contient la description détaillée du modulateur, les résultats de caractérisation optique et de la caractérisation électrique, ainsi que les tests systèmes. De plus, les tests systèmes incluent l’utilisation de pré-compensation ou de post-compensation du signal sous la forme d’égalisation de la réponse en fréquence pour les formats de modulation PAM-4 et PAM-8 à différents taux binaires. Une vitesse de transmission de 30 Gb/s est démontrée dans les deux cas et ce malgré une limitation importante de la réponse en fréquence suite à l’ajout d’un assemblage des circuits radiofréquences (largeur de bande 3 dB de 8 GHz). Il s’agit de la première démonstration de modulation PAM-8 à l’aide d’un modulateur Mach-Zehnder aux électrodes segmentées. Finalement, les conclusions tirées de ce travail ont mené à la conception d’un deuxième modulateur Mach-Zehnder aux électrodes segmentées présentement en phase de test, dont les performances montrent un très grand potentiel. Dans le troisième chapitre, un modulateur à réseau de Bragg à deux sauts de phase est présenté. L’utilisation de réseaux de Bragg est une approche encore peu développée pour la modulation. En effet, la réponse spectrale de ces structures peut être contrôlée précisément, une caractéristique intéressante pour la conception de modulateurs. Dans ces travaux, nous proposons l’ajout de deux sauts de phase à un réseau de Bragg uniforme pour obtenir un pic de transmission dans la bande de réflexion de celui-ci. Ainsi, il est possible d’altérer l’amplitude du pic de transmission à l’aide d’une jonction pn. Comme pour le deuxième chapitre, ce chapitre inclut la description détaillée du modulateur, les résultats des caractérisations optique et électrique, ainsi que les tests systèmes. De plus, la caractérisation de jonctions pn à l’aide du modulateur à réseau de Bragg est expliquée. Des vitesses de transmission PAM-4 de 60 Gb/s et OOK de 55 Gb/s sont démontrées après la compensation des distorsions des signaux. À notre connaissance, il s’agit du modulateur à réseau de Bragg le plus rapide à ce jour. De plus, pour la première fois, les performances d’un tel modulateur s’approchent de celles des modulateurs de silicium les plus rapides utilisant des microrésonateurs en anneau ou des interféromètres Mach-Zehnder.

Investigation of the intensity dependence of amplitude noise in electro-optic phase modulators

This thesis studied the source of instability in optical phase modulators used in high accuracy laser measurement systems. The nonlinear origin of the amplitude noise helped further reducing this instability in applications that rely on phase modulators to function. This outcome will have positive impacts on the development of new methods in the amplitude noise suppression.

Dependence of residual amplitude noise in electro-optic phase modulators on the intensity distribution of the incident field

Our results demonstrate that photorefractive residual amplitude modulation (RAM) noise in electro-optic modulators (EOMs) can be reduced by modifying the incident beam intensity distribution. Here we report an order of magnitude reduction in RAM when beams with uniform intensity (flat-top) profiles, generated with an LCOS-SLM, are used instead of the usual fundamental Gaussian mode (TEM00). RAM arises from the photorefractive amplified scatter noise off the defects and impurities within the crystal. A reduction in RAM is observed with increasing intensity uniformity (flatness), which is attributed to a reduction in space charge field on the beam axis. The level of RAM reduction that can be achieved is physically limited by clipping at EOM apertures, with the observed results agreeing well with a simple model. These results are particularly important in applications where the reduction of residual amplitude modulation to 10^-6 is essential.

Amplitude equations and asymptotic expansions for multi-scale problems

In this paper we introduce a new technique to obtain the slow-motion dynamics in nonequilibrium and singularly perturbed problems characterized by multiple scales. Our method is based on a straightforward asymptotic reduction of the order of the governing differential equation and leads to amplitude equations that describe the slowly-varying envelope variation of a uniformly valid asymptotic expansion. This may constitute a simpler and in certain cases a more general approach toward the derivation of asymptotic expansions, compared to other mainstream methods such as the method of Multiple Scales or Matched Asymptotic expansions because of its relation with the Renormalization Group. We illustrate our method with a number of singularly perturbed problems for ordinary and partial differential equations and recover certain results from the literature as special cases. © 2010 - IOS Press and the authors. All rights reserved.

Secular series and renormalization group for amplitude equations

We have developed a technique that circumvents the process of elimination of secular terms and reproduces the uniformly valid approximations, amplitude equations, and first integrals. The technique is based on a rearrangement of secular terms and their grouping into the secular series that multiplies the constants of the asymptotic expansion. We illustrate the technique by deriving amplitude equations for standard nonlinear oscillator and boundary-layer problems. © 2008 The American Physical Society.

On Computing Amplitude, Phase, and Frequency Modulations Using a Vector Interpretation of the Analytic Signal

The amplitude-modulation (AM) and phase-modulation (PM) of an amplitude-modulated frequency-modulated (AM-FM) signal are defined as the modulus and phase angle, respectively, of the analytic signal (AS). The FM is defined as the derivative of the PM. However, this standard definition results in a PM with jump discontinuities in cases when the AM index exceeds unity, resulting in an FM that contains impulses. We propose a new approach to define smooth AM, PM, and FM for the AS, where the PM is computed as the solution to an optimization problem based on a vector interpretation of the AS. Our approach is directly linked to the fractional Hilbert transform (FrHT) and leads to an eigenvalue problem. The resulting PM and AM are shown to be smooth, and in particular, the AM turns out to be bipolar. We show an equivalence of the eigenvalue formulation to the square of the AS, and arrive at a simple method to compute the smooth PM. Some examples on synthesized and real signals are provided to validate the theoretical calculations.

32 Gb/s multilevel modulation of an 850 nm VCSEL for next-generation datacommunication standards

An 850 nm vertical-cavity surface-emitting laser is modulated at 32 Gb/s using pulse-amplitude modulation with four levels. Transmitter predistortion generates an optimized modulation waveform, which requires a receiver bandwidth of only 15 GHz. © 2011 OSA.

Fiber Dispersion and Nonlinearity Influences on Transmissions of AM and FM Data Modulation Signals in Radio-Over-Fiber System

Transmission properties of data amplitude modulation (AM) and frequency modulation (FM) in radio-over-fiber (RoF) system are studied numerically. The influences of fiber dispersion and nonlinearity on different microwave modulation schemes, including double side band (DSB), single side band (SSB) and optical carrier suppression (OCS), are investigated and compared. The power penalties at the base station (BS) and the eye opening penalties of the recovered data at the end users are both calculated and analyzed. Numerical simulation results reveal that the power penalty of FM can be drastically decreased due to the larger modulation depth it can achieve than that of AM. The local spectrum broadening around subcarrier microwave frequency of AM due to fiber nonlinearity can also be eliminated with FM. It is demonstrated for the first time that the eye openings of the FM recovered data can be controlled by its modulation depths and the coding formats. Negative voltage encoding format was used to further decrease the RF frequency thus increase the fluctuation period considering their inverse relationship.

Ion-acoustic waves in a two-electron-temperatute plasma: oblique modulation and envelope excitations

Theoretical and numerical studies are carried out for the nonlinear amplitude modulation of ion-acoustic waves propagating in an unmagnetized, collisionless, three-component plasma composed of inertial positive ions moving in a background of two thermalized electron populations. Perturbations oblique to the carrier wave propagation direction have been considered. The stability analysis, based on a nonlinear Schrodinger-type equation, shows that the wave may become unstable; the stability criteria depend on the angle theta between the modulation and propagation directions. Different types of localized excitations (envelope solitary waves) are shown to exist in qualitative agreement with satellite observations in the magnetosphere.