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Phenomenon whereby deviations from a periodic waveform are reinforced by nonlinearity
the fields of nonlinear optics and fluid dynamics, modulational instability or sideband instability is a phenomenon whereby deviations from a periodic
Modulational_instability
Characterized by some of the outputs or internal states growing without bounds
Rayleigh–Taylor instability) Shock Wave Instability Benjamin-Feir Instability (also known as modulational instability) Plasma instabilities can be divided
Instability
Unexpectedly large transient ocean surface wave
modeled by the nonlinear Schrödinger equation (NLS), suggest that modulational instability can create an unusual sea state where a "normal" wave begins to
Rogue_wave
Concept in optics
scales such as the modulation instability length L M I {\displaystyle L_{\mathrm {MI} }} , fission will dominate. Modulation instability (MI) leads to the
Supercontinuum
processes like self-phase modulation (SPM), modulational instability, soliton generation and soliton fission, cross phase modulation (XPM) and others. All
Zero-dispersion_wavelength
Plasma flow
modes, in which energy is transferred to longer wavelengths by modulational instability or turbulent inverse cascade. Zonal and poloidal Zonal flow Diamond
Zonal_flow_(plasma)
Quantum optics in silicon
significant, as it is a prerequisite for soliton propagation, and modulational instability. In order for the silicon photonic components to remain optically
Silicon_photonics
Degree to which disturbing a plasma system at equilibrium will destabilize it
quasi-interchange instability) Magnetorotational instability (in accretion disks) Magnetothermal instability (Laser-plasmas), Modulational instability Non-Abelian
Plasma_stability
Branch of physics
polarization vector perpendicular to the input one is generated. Modulational instability. Raman amplification Optical phase conjugation. Stimulated Brillouin
Nonlinear_optics
Nonlinear optical effect of light-matter interaction
effect Other non-linear effects: Cross-phase modulation – XPM Four-wave mixing – FWM Modulational instability – MI Stimulated Raman scattering – SRS Applications
Self-phase_modulation
Non-linear optical process
) {\displaystyle {E}({\vec {\mathbf {r} }},t)} is affected by modulational instability. The small perturbations caused by roughnesses and medium defects
Self-focusing
Nonlinear and periodic surface wave on an inviscid fluid layer of constant mean depth
Feir in 1967. The Benjamin–Feir instability is a side-band or modulational instability, with the side-band modulations propagating in the same direction
Stokes_wave
Change in refractive index of a material in response to an applied electric field
nonlinear optical effects of self-focusing, self-phase modulation and modulational instability, and is the basis for Kerr-lens modelocking. This effect
Kerr_effect
Elementary particle or quantum of light
area, with topics such as two-photon absorption, self-phase modulation, modulational instability and optical parametric oscillators. However, such processes
Photon
American mathematician
New York, 2008, with J. Lewandowsky and S. Lewandowsky. Proof of modulational instability of Stokes waves in deep water, submitted, with Huy Q. Nguyen. Steady
Walter_Alexander_Strauss
S2CID 16829342. Onorato, M.; Osborne, A.; Serio, M. (2006). "Modulational Instability in Crossing Sea States: A Possible Mechanism for the Formation
Optical_rogue_waves
Analytic solution of the nonlinear Schrödinger equation
; Akhmediev, N.; Dudley, J.M.; Genty, G. (2011). "Higher-Order Modulation Instability in Nonlinear Fiber Optics". Physical Review Letters. 107 (25) 253901
Peregrine_soliton
Umeton (2004). "Routing of Highly Anisotropic Spatial Solitons and Modulational Instability in liquid crystals". Nature. 432 (7018): 733–737. Bibcode:2004Natur
Nematicon
Modulation allowing for multiple signals on a line
power amplifiers, including device parametric restrictions, temperature instability, power control accuracy, wideband noise and production yields are also
Polar_modulation
Form of sound synthesis
be created. FM synthesis using analog oscillators may result in pitch instability. However, FM synthesis can also be implemented digitally, which is more
Frequency modulation synthesis
Frequency_modulation_synthesis
Any disease or malfunction of the autonomic nervous system
autoimmune autonomic ganglionopathy[citation needed] Craniocervical instability Diabetes Eaton-Lambert syndrome[medical citation needed] Ehlers-Danlos
Dysautonomia
Quasiparticle of charge oscillations in condensed matter
S2CID 8245248. Sharif, Morteza A. (January 2019). "Spatio-temporal modulation instability of surface plasmon polaritons in graphene-dielectric heterostructure"
Plasmon
Light technique
data to study the stochastic nature of optical systems. Namely, modulation instability and supercontinuum generation in highly non-linear fiber have been
Time stretch dispersive Fourier transform
Time_stretch_dispersive_Fourier_transform
Indian physicist
plasma", J. Plasma Phys. 28, 125–127 (1982). SCI=64. P. K. Shukla. "Modulational instability of whistler-mode signals", Nature (London) 274, 874–875 (1978)
Padma_Kant_Shukla
Diffractionless propagation of a light beam
filaments form as a result of the self-trapping of individual beams, or modulation instability of a wide-area light profile. Filament propagation has been observed
Filament_propagation
Numerical model of nonlinear optical systems
S2CID 4426096. Haelterman, M.; Trillo, S.; Wabnitz, S. (1992). "Dissipative modulation instability in a nonlinear dispersive ring cavity". Optics Communications. 91
Lugiato–Lefever_equation
Concept in astrophysics
Rossby Wave Instability (RWI) is a concept related to astrophysical accretion discs. In non-self-gravitating discs, for example around newly forming stars
Rossby_wave_instability
Italian physicist
Zambrini, R., & Oppo, G.-L. Photonic Band-Gap Inhibition of Modulational Instabilities. Physical Review Letters, 92(25), 253904-1-4 (2004). https://doi
Gian-Luca_Oppo
Italian physicist
Morandotti, Roberto (10 March 2010). "Space-time bullet trains via modulation instability and nonlocal solitons". Optics Express. 18 (6). The Optical Society:
Roberto_Morandotti
Kumar, Naveen; Pukhov, Alexander; Lotov, Konstantin (2010). "Self-Modulation Instability of a Long Proton Bunch in Plasmas". Physical Review Letters. 104
AWAKE
High frequency of mutations within the genome of a cellular lineage
Genome instability (also genetic instability or genomic instability) refers to a high frequency of mutations within the genome of a cellular lineage. These
Genome_instability
Light-stabilizing technique
available, the PDH technique can be used to stabilize and/or measure the instabilities in an optical cavity length. The PDH technique responds to the frequency
Pound–Drever–Hall_technique
Modular invariance Modular ocean model Modulated ultrasound Modulation sphere Modulational instability Moduli (physics) Moens–Korteweg equation Moffat distribution
Index_of_physics_articles_(M)
Tumor or other abnormal growth of tissue
usually has genome instability. This instability is likely due to reduced DNA repair or excessive DNA damage. Because of such instability, the cancer continues
Neoplasm
Tonal degree of the diatonic scale
chord is said to have dominant function, which means that it creates an instability that requires the tonic for resolution. Dominant triads, seventh chords
Dominant_(music)
Hierarchical outline list of articles related to oceanography
variable depth and with lateral boundaries Modulational instability, also known as Benjamin–Feir instability – A phenomenon whereby deviations from a periodic
Outline_of_oceanography
Delays experienced through a linear time-invariant system
an input (green) wave whose output (red) is ahead by 1 ms, but with instability when the input turns on and off. Filters will have negative group delay
Group_delay_and_phase_delay
Type of mathematical model
_{x}^{2}+U(x),} of Schrödinger type where negative eigenvalues result in the instability of the solution. Due to translational invariance ψ = ∂x u0(x) is a neutral
Reaction–diffusion_system
voltage, improve stability or create instability, as in an oscillator. Some examples of constant envelope modulations are as FSK, GFSK, MSK, GMSK and Feher's
Constant_envelope
Type of variable star
known periods range between 5 and 23 minutes. They lie in the δ Scuti instability strip on the main sequence. The first roAp star to be discovered was
Rapidly_oscillating_Ap_star
Type of microscopy using a physical probe
resonance (frequency modulation). The two most common modes of nc-AFM operation, frequency modulation (FM) and amplitude modulation (AM), are described
Non-contact atomic force microscopy
Non-contact_atomic_force_microscopy
Infrared spectroscopy technique
common indicator of protein instability, which can result in a therapeutic product being unfit for launch. Microfluidic modulation spectroscopy can measure
Microfluidic modulation spectroscopy
Microfluidic_modulation_spectroscopy
Country in South America
the Navy Revolts, a prolonged cycle of financial, political and social instability began until the 1920s, keeping the country besieged by various rebellions
Brazil
Dimensionless number describing oscillating flow mechanisms
Strouhal number. The lower frequency is attributed to the large-scale instability of the wake, is independent of the Reynolds number Re, and is approximately
Strouhal_number
Property of the Fermi surface in condensed matter physics
the electrical and thermal conductivity of metals and discussed the instability of a one-dimensional electronic system to a periodic lattice distortion
Fermi_surface_nesting
Cavity in the solar wind created by Saturn
gradually moves out from the inner magnetosphere via the interchange instability mechanism and then escapes through the magnetotail. The interaction between
Magnetosphere_of_Saturn
Algorithm that estimates unknowns from a series of measurements over time
on the input, and, therefore, can bring the estimation algorithm to instability (it diverges). On the other hand, independent white noise signals will
Kalman_filter
Psychiatric behavioural syndrome
that share many of the same characteristics including fever, autonomic instability, rigidity, and delirium. Lab values of low serum iron, elevated creatine
Catatonia
Movement of Earth's lithosphere
They were published during an episode of extreme political and economic instability that hampered scientific communication. Many were published by European
Plate_tectonics
Personality trait of negativity
environments and supportive ones. Another definition focuses on emotional instability, negative emotionality, or maladjustment as opposed to emotional stability
Neuroticism
Synthesizer released in 2002
including one defined by the user. "Analog Tune" simulates the pitch instability and oscillator “drift” that was characteristic of vintage analog synthesizers
MicroKORG
Polymer of tubulin that forms part of the cytoskeleton
concentration, the length of the microtubule will decrease. Dynamic instability refers to the coexistence of assembly and disassembly at the ends of
Microtubule
French physicist
; Mora, P.; Adam, J. C.; Héron, A.; Bendib, A. (1995). "Modulational and Raman instabilities in the relativistic regime". Physics of Plasmas. 2 (7). AIP
Guy_Laval
Atmospheric effect caused by the solar wind
researchers believe they are driven by the Farley-Buneman Instability, a local plasma instability in the ionosphere. They are a short-lived phenomenon appearing
Aurora
Irregular beating of the atria of the heart
fibrillation. The main goals of treatment are to prevent circulatory instability and stroke. Rate or rhythm control is used to achieve the former, whereas
Atrial_fibrillation
Star whose brightness fluctuates, as seen from Earth
diagram. They occupy a separate LBV/S Dor instability strip, which is distinct from the Cepheid instability strip. Yellow hypergiants These massive evolved
Variable_star
Data format used for audio compact discs
Another issue was jitter, a time-related defect. Confronted with the instability of DACs, manufacturers initially turned to increasing the number of bits
Compact_Disc_Digital_Audio
Type of radio receiver
is distributed between RF and IF stages, reducing the likelihood of instability due to unintended feedback. The RF stage also serves to limit radiation
Superheterodyne_receiver
Central nervous system stimulant
Ahmadi A, Nabati M (15 October 2019). "A Case report of hemodynamic instability, cardiac arrest, and acute severe dyspnea subsequent to inhalation of
Methamphetamine
Electro-mechanical data storage device
might be lost because of thermal effects — thermally induced magnetic instability which is commonly known as the "superparamagnetic limit". To counter
Hard_disk_drive
Solid-state photodetector
7.1453. S2CID 98529637. McIntyre, RJ (1961). "Theory of microplasma instability in silicon". Journal of Applied Physics. 32 (6). American Institute of
Single-photon_avalanche_diode
20th-century Russian physicist
maps; the investigations of weak instabilities in many-dimensional Hamiltonian systems (Arnold diffusion and modulational diffusion); the demonstration that
Boris_Chirikov
Control loop feedback mechanism
systems and various other applications where constant control through modulation is necessary without human intervention. The PID controller automatically
PID_controller
Type of solid state switch
(wo) separately. The wearout failures mainly include bias temperature instability (BTI), hot carrier injection (HCI), time-dependent dielectric breakdown
Insulated-gate bipolar transistor
Insulated-gate_bipolar_transistor
Magnetic field around the Jovian system
of plasma diffusion due to interchange instability. The process is similar to the Rayleigh-Taylor instability in hydrodynamics. In the case of the Jovian
Magnetosphere_of_Jupiter
Cancer of the colon or rectum
repair enzyme expression may likely lead to the genomic and epigenomic instability characteristic of cancer. As summarized in the articles Carcinogenesis
Colorectal_cancer
Technique to reduce playback errors on analog media
(TBC) is a technique to reduce or eliminate errors caused by mechanical instability present in analog recordings on mechanical media. Without time base correction
Time_base_correction
Psychoactive component of cannabis
chromosomal stability, which may be hereditary as a factor affecting cell instability and cancer risk. The carcinogenicity of THC in the studied populations
Tetrahydrocannabinol
Artistic style in Europe and colonies, c. 1600–1750
nor horizontal, but slanting to the left or right, giving a sense of instability and movement. They enhanced this impression of movement by having the
Baroque
Human-caused changes to climate on Earth
and 65–101 cm under a very high emission scenario. Marine ice sheet instability processes in Antarctica may add substantially to these values, including
Climate_change
System for fixing base errors of DNA replication
proteins affect genomic stability, which can result in microsatellite instability (MSI), implicated in some human cancers. In specific, the hereditary
DNA_mismatch_repair
Medical condition
iliac crest and gluteal fold, beginning peri or postpartum caused by instability and limitation of mobility. It is associated with pubic symphysis pain
Complications_of_pregnancy
Personality disorder involving extreme asociality
Blanchard JJ, Aghevli M, Wilson A, Sargeant M (May 2010). "Developmental instability in social anhedonia: an examination of minor physical anomalies and clinical
Schizoid_personality_disorder
Suspension of objects through a feedback loop of magnetic field strength changes
electromagnets to correct the object's motion is used to cancel the instability. Many systems use magnetic attraction pulling upwards against gravity
Electromagnetic_suspension
Inherited neurodegenerative disorder
movements that may resemble a tremor. Common consequences are physical instability, abnormal facial expression, and difficulties chewing, swallowing and
Huntington's_disease
Hypothetical invisible cosmic material
2018). "A Cosmological Signature of the Standard Model Higgs Vacuum Instability: Primordial Black Holes as Dark Matter". Physical Review Letters. 120
Dark_matter
Co on a metallic substrate were experimentally shown to exhibit a CDW instability and was attributed to ferromagnetic correlations. The most intriguing
Spin_density_wave
Astrophysical phenomenon
mechanisms: exceeding the Chandrasekhar limit; electron capture; pair-instability; or photodisintegration. When a massive star develops an iron core larger
Supernova
Digital optical disc data storage format
Another issue was jitter, a time-related defect. Confronted with the instability of DACs, manufacturers initially turned to increasing the number of bits
Compact_disc
Method of spatial measurement using laser
Lim, M.; Lato, M.J. (2014). "Terrestrial laser scanning of rock slope instabilities". Earth Surface Processes and Landforms. 39 (1): 80–97. Bibcode:2014ESPL
Lidar
Deadly tornado in Illinois
−12 °C to −14 °C. Such extreme instability can lead to explosive thunderstorm development, very strong updrafts, and modulation of the updraft to better enable
1990_Plainfield_tornado
Mechanism of spontaneous phase separation
In some systems, ordering of the material leads to a compositional instability and this is known as a conditional spinodal, e.g. in the feldspars. For
Spinodal_decomposition
oscillating carrier wave, a modulator which impresses an information bearing modulation signal on the carrier, and an amplifier which increases the power of the
Radio_transmitter_design
Medical condition
Timothy I.; Russell, Helen R.; McKinnon, Peter J. (2021-12-15). "Genome instability independent of type I interferon signaling drives neuropathology caused
Aicardi–Goutières_syndrome
Musical structure of three main sections
almost always shows a greater degree of tonal, harmonic, and rhythmic instability than the other sections. In a few cases, usually in late Classical and
Sonata_form
Cell-cell junction composed of innexins or connexins
Lorimore, SA; Wright, EG (January 2003). "Radiation-induced genomic instability and bystander effects: related inflammatory-type responses to radiation-induced
Gap_junction
Concept in psychology
problems with response modulation is correlated with Borderline Personality Disorder (BPD). BPD is characterized by an enduring instability in regulating emotions
Emotional_self-regulation
Planet outside of the Solar System
remnants and that have a mass ratio with the central object below the L4/L5 instability (M/Mcentral < 2/25+√621) are "planets" (no matter how they formed)
Exoplanet
Unpleasant emotion
impulsivity, extreme self-expectation, negative thoughts, affective instability, and inability to focus on problems) are associated with anxiety. Anxiety
Anxiety
Keyboard work by Johann Sebastian Bach
as preserving an improvisatory quality through radical modulations, free figuration, instability of subject and countersubject, and homophonic outbursts
Chromatic Fantasia and Fugue, BWV 903
Chromatic_Fantasia_and_Fugue,_BWV_903
Equation in fluid dynamics
amplitude modulation of cellular convection. Journal of Fluid Mechanics, 38(1), 203-224. Stewartson, K., & Stuart, J. T. (1971). A non-linear instability theory
Ginzburg–Landau_equation
Prison design
Jeremy Bentham in 1986, in which he reasoned that Bentham's fear of instability caused him to advocate ruthless social engineering and a society in which
Panopticon
Lithography using 13.5 nm UV light
collective instabilities. The source requires precise control of beam energy, emittance, bunch length, current, and synchronization with any modulation laser
EUV_lithography
Electronic component
capacitors offer very high capacitance but suffer from poor tolerances, high instability, gradual loss of capacitance especially when subjected to heat, and high
Capacitor
Smart material systems
forces. In several cases, the electromechanical instability precedes the dielectric breakdown. The instability parameters (critical voltage and the corresponding
Dielectric_elastomers
Class of antidepressant medication
serotonin syndrome include hyperthermia, rigidity, myoclonus, autonomic instability with fluctuating vital signs, and mental status changes that include
Serotonin–norepinephrine reuptake inhibitor
Serotonin–norepinephrine_reuptake_inhibitor
provided about 70 W at 50 cm (600 MHz), but suffered from frequency instability. Hollmann built a Barkhausen-Kurz tube regenerative receiver connected
History_of_radar
Protein-coding gene in the species Homo sapiens, named for ketazocine
cause symptoms such as chronic dysphoria, suicidality, and emotional instability. In individuals with BPD, decreased DNA methylation (hypomethylation)
Κ-opioid_receptor
Symphony by Johannes Brahms
and instability ensues as interplay between the "eroica" motif and phrases from the original theme are played off each other. A series of modulations, each
Symphony_No._1_(Brahms)
Machine that converts electrical energy into mechanical energy
rectangular-crosssection copper wire. The motors can be stacked to work in parallel. Instabilities are minimized by ensuring that the two rotor discs put equal and opposing
Electric_motor
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MODULATIONAL INSTABILITY
MODULATIONAL INSTABILITY
MODULATIONAL INSTABILITY
MODULATIONAL INSTABILITY
MODULATIONAL INSTABILITY
MODULATIONAL INSTABILITY
MODULATIONAL INSTABILITY
MODULATIONAL INSTABILITY
MODULATIONAL INSTABILITY
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