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Topics referred to by the same term
Nonlinear medium may refer to: A material with nonlinear elasticity An optical medium that obeys nonlinear optics Linear medium This disambiguation page
Nonlinear_medium
Branch of physics
Nonlinear optics (NLO) is a branch of optics that studies the case when optical properties of matter depend on the intensity of the input light. Nonlinear
Nonlinear_optics
optical nonlinear properties, or when the nonlinear medium response to laser radiation is nonlocal in space. Whenever the laser induced nonlinear response
Z-scan_technique
Branch of physics and acoustics
Nonlinear acoustics (NLA) is a branch of physics and acoustics dealing with sound waves of sufficiently large amplitudes. Large amplitudes require using
Nonlinear_acoustics
Hypothetical solid form of light
normally interact with one another, but may be made to interact in a nonlinear medium. The MIT-Harvard Center for Ultracold Atoms conducted experiments on
Solid_light
Nonlinear form of the Schrödinger equation
In theoretical physics, the (one-dimensional) nonlinear Schrödinger equation (NLSE) is a nonlinear variation of the Schrödinger equation. It is a classical
Nonlinear Schrödinger equation
Nonlinear_Schrödinger_equation
Measure of the electric polarizability of a dielectric material
the position in the medium, the frequency of the field applied, humidity, temperature, and other parameters. In a nonlinear medium, the permittivity can
Permittivity
Nonlinear optical effect of light-matter interaction
modulation (SPM) is a nonlinear optical effect of light–matter interaction. An ultrashort pulse of light, when travelling in a medium, will induce a varying
Self-phase_modulation
Formula for refraction angles
redefined. In 1962, Nicolaas Bloembergen showed that at the boundary of nonlinear medium, Snell's law could be written in a general form. In 2008 and 2011,
Snell's_law
Type of electronic literature
Hypermedia, an extension of hypertext, is a nonlinear medium of information that includes graphics, audio, video, plain text, and hyperlinks. This designation
Hypermedia
Inelastic optical scattering phenomenon
inelastic scattering of a higher-frequency 'pump' photon in an optical medium in the nonlinear regime. As a result, another 'signal' photon is produced, with
Raman_amplification
Sound transmission method
demonstrated. In the first, modulated ultrasound propagates through a nonlinear medium, which acts as a passive demodulator, producing audible sound without
Sound_from_ultrasound
Topics referred to by the same term
Look up nonlinear or nonlinearity in Wiktionary, the free dictionary. Nonlinearity is a property of mathematical functions or data that cannot be graphed
Nonlinearity_(disambiguation)
Device that amplifies an optical signal
amplification of a weak signal-impulse in a nonlinear medium such as a noncentrosymmetric nonlinear medium (e.g. Beta barium borate (BBO)) or even a standard
Optical_amplifier
Field of mathematics and science based on non-linear systems and initial conditions
Oraevskiĭ, A N (1988). "Spatiotemporal dynamics of a wave packet in nonlinear medium and discrete maps". In N.G. Basov (ed.). Proceedings of the Lebedev
Chaos_theory
Topics referred to by the same term
Linear medium may refer to: A material with linear elasticity An optical medium that obeys linear optics Nonlinear medium This disambiguation page lists
Linear_medium
Nonlinear optical process
second-order nonlinear susceptibility of a medium characterizes its tendency to cause SHG. Second-harmonic generation, like other even-order nonlinear optical
Second-harmonic_generation
Device for measuring or maintaining orientation
the polarization dynamics of a light pulse propagating through a nonlinear medium, the Lorenz system in chaos theory, and the motion of an ion in a Penning
Gyroscope
Method of measuring spectral phase of ultrashort laser pulses
"auto-spectrogram" of the pulse, in which the pulse gates itself in a nonlinear optical medium and the resulting gated piece of the pulse is then spectrally resolved
Frequency-resolved optical gating
Frequency-resolved_optical_gating
Theoretical natural state of matter
Lukin, M. D.; Vuletić, V. (2013). "Attractive photons in a quantum nonlinear medium" (PDF). Nature (Submitted manuscript). 502 (7469): 71–75. Bibcode:2013Natur
Photonic_molecule
Technique in nonlinear optics
signal and idler frequencies by creating a periodic structure in the nonlinear medium. Momentum is conserved, as is necessary for phase-matching, through
Quasi-phase-matching
Elementary particle or quantum of light
February 2018). "Observation of three-photon bound states in a quantum nonlinear medium". Science. 359 (6377): 783–786. arXiv:1709.01478. Bibcode:2018Sci.
Photon
Type of reservoir computer
continuous-time echo state networks. The fixed RNN acts as a random, nonlinear medium whose dynamic response, the "echo", is used as a signal base. The linear
Echo_state_network
Light-conducting fiber
Optical fiber is also widely exploited as a nonlinear medium. The glass medium supports a host of nonlinear optical interactions, and the long interaction
Optical_fiber
Equation known for chaotic behavior
"Laminarizing effects of dispersion in an active-dissipative nonlinear medium". Physica D: Nonlinear Phenomena. 63 (3–4): 299–320. Bibcode:1993PhyD...63..299C
Kuramoto–Sivashinsky_equation
Device which absorbs coherent light waves; time-reversed laser
absorption allows control of waves with waves (light with light) without a nonlinear medium. The concept was first published in the July 26, 2010, issue of Physical
Coherent_perfect_absorber
Term in optics
balance between nonlinear and dispersive effects in the medium. There are two main kinds of solitons: spatial solitons: the nonlinear effect can balance
Soliton_(optics)
Nonlinear partial differential equation
The porous medium equation, also called the nonlinear heat equation, is a nonlinear partial differential equation taking the form: ∂ u ∂ t = Δ ( u m )
Porous_medium_equation
Quasiparticles arising from EM wave coupling
February 2018). "Observation of three-photon bound states in a quantum nonlinear medium". Science. 359 (6377): 783–786. arXiv:1709.01478. Bibcode:2018Sci.
Polariton
^{(2)}E^{2}(t)} for E {\displaystyle E} the applied field onto a nonlinear medium. For a lossless medium with spatial indices i , j , k {\displaystyle i,j,k} we
Kleinman_symmetry
Excited atomic quantum state with high principal quantum number (n)
between two atoms excited in Rydberg state to provide medium that exhibits strongly nonlinear behaviour at the level of individual optical photons. The
Rydberg_atom
Gameplay involving unordered sequences
A video game with nonlinear gameplay presents players with challenges that can be completed in a number of different sequences. Each may take on (or even
Nonlinear_gameplay
Laser science process
Franken et al., using a ruby laser, with crystalline quartz as the nonlinear medium. Harmonic generation in dielectric solids is well understood and extensively
High_harmonic_generation
Nonlinear optical process
and the wavelength divided by n {\displaystyle n} ). In a medium having a substantial nonlinear susceptibility, harmonic generation is possible. Note that
Harmonic_generation
Nonlinear dynamical system
An excitable medium is a nonlinear dynamical system which has the capacity to propagate a wave of some description, and which cannot support the passing
Excitable_medium
optical beam with another beam through interactions in an appropriate nonlinear medium. This technique is applied to fiber-optic communications. If both beams
Cross-phase_modulation
Laser pulse with duration a picosecond (10^-12 s) or less
the gain medium of the amplifier. They are characterized by a high peak intensity (or more correctly, irradiance) that usually leads to nonlinear interactions
Ultrashort_pulse
Amplifier for weak microwave signals
A traveling-wave parametric amplifier (TWPA) is a device that uses a nonlinear transmission line driven by a strong pump tone to amplify weak microwave
Traveling-wave parametric amplifier
Traveling-wave_parametric_amplifier
Phenomenon in nonlinear optics
conditions. When three frequencies (f1, f2, and f3) interact in a nonlinear medium, they give rise to a fourth frequency (f4) which is formed by the scattering
Four-wave_mixing
Branch of analytics
contributed to the development of learning analytics.Hypermedia is a nonlinear medium of information that includes graphics, audio, video, plain text and
Learning_analytics
Change in refractive index of a material in response to an applied electric field
of the light. This refractive index variation is responsible for the nonlinear optical effects of self-focusing, self-phase modulation and modulational
Kerr_effect
Audible vibration that travels via pressure waves in matter
an extremely small effective gravitational mass. This mass arises from nonlinear corrections to the stress–energy of the wave, and implies that sound waves
Sound
Technologies for computer networking
802.3ck and 802.3db standards. Optical signal transmission over a nonlinear medium is principally an analog design problem. As such, it has evolved more
100_Gigabit_Ethernet
Laser mode-locking method
results from the nonlinear response of an optical medium to the electric field of an electromagnetic wave. The refractive index of the medium is dependent
Kerr-lens_modelocking
16, 2018). "Observation of three-photon bound states in a quantum nonlinear medium". Science. 359 (6377): 783–786. arXiv:1709.01478. Bibcode:2018Sci.
Timeline of quantum computing and communication
Timeline_of_quantum_computing_and_communication
Information storage technology
the ability to directly imprint Hermite-Gauss mode patterns into the nonlinear medium was demonstrated, allowing for compact generation of spatially entangled
Electronic_quantum_holography
Unexpectedly large transient ocean surface wave
waves. Among other causes, studies of nonlinear waves such as the Peregrine soliton, and waves modeled by the nonlinear Schrödinger equation (NLS), suggest
Rogue_wave
Nonlinear frictiophoresis is the unidirectional drift of a particle in a medium caused by periodic driving force with zero mean. The effect is possible
Nonlinear_frictiophoresis
Degree of polarization
This saturation can be modelled by a nonlinear susceptibility. These susceptibilities are important in nonlinear optics and lead to effects such as second-harmonic
Electric_susceptibility
Distance over which a wave's shape repeats
dispersive medium, the phase speed itself depends upon the frequency of the wave, making the relationship between wavelength and frequency nonlinear. In the
Wavelength
The hyperpolarizability, a nonlinear-optical property of a molecule, is the second order electric susceptibility per unit volume. The hyperpolarizability
Hyperpolarizability
American optical physicist
the experimental observation of optical vortex solitons in a Kerr nonlinear medium, published in Physical Review Letters. These stationary, stable dark-core
Grover_Swartzlander
See also Nonlinear partial differential equation, List of partial differential equation topics and List of nonlinear ordinary differential equations.
List of nonlinear partial differential equations
List_of_nonlinear_partial_differential_equations
ZnS:Mn structures. Nonlinear optical systems: a light beam of high intensity interacts with a nonlinear medium. Typically the medium reacts on rather slow
Dissipative_soliton
materials. Nonlinear metamaterials are a periodic, nonlinear, transmission medium. These are a type of negative index metamaterial where the nonlinearity is available
Nonlinear_metamaterial
Optical frequency combs
conventional laser gain medium, which is pumped incoherently. Because Kerr frequency combs only rely on the nonlinear properties of the medium inside the microresonator
Kerr_frequency_comb
Frequency change of a wave for observer relative to its source
Daniel W. (2005). "Explanation of the Inverse Doppler Effect Observed in Nonlinear Transmission Lines". Physical Review Letters. 94 (20) 203902. Bibcode:2005PhRvL
Doppler_effect
Nontraditional laser theory of Fabry-Perot semiconductor lasers
suggests that the nonlinear theory developed is a new paradigm of the laser theory. Maxwell's equations describe the field for passive medium and cannot be
Nonlinear theory of semiconductor lasers
Nonlinear_theory_of_semiconductor_lasers
Self-reinforcing single wave packet
of nonlinear and dispersive effects in the medium. Solitons were subsequently found to provide stable solutions of a wide class of weakly nonlinear dispersive
Soliton
Differential equations are prominent in many scientific areas. Nonlinear ones are of particular interest for their commonality in describing real-world
List of nonlinear ordinary differential equations
List_of_nonlinear_ordinary_differential_equations
noise-sensitive nonlinear process in which extremely broadband radiation is generated from a narrowband input waveform—in nonlinear optical fiber. In
Optical_rogue_waves
Effect of a material on light
opposed to wave propagation in general. A medium having this common property may be termed a dispersive medium. Although the term is used in the field of
Dispersion_(optics)
corrects for moving images. Organic photorefractive materials are a nonlinear medium in which large amounts of information can be recorded and read. Holograms
Organic photorefractive materials
Organic_photorefractive_materials
Optical systems with two stable output states for the same input
from distributed or intrinsic feedback within a nonlinear medium. In a common configuration, a nonlinear material is placed in a Fabry–Pérot interferometer
Optical_bistability
Propagating disturbance
produced by constructive interference. Unlike solitons (another kind of nonlinear wave), the energy and speed of a shock wave alone dissipates relatively
Shock_wave
Canadian manufacturer of scientific instruments
obtained when a laser is directed through a nonlinear medium. From there, a collection of highly nonlinear optical processes (e.g.: four-wave mixing, Raman
Photon_etc.
Quantum optics in silicon
propagation of light through silicon devices is governed by a range of nonlinear optical phenomena including the Kerr effect, the Raman effect, two-photon
Silicon_photonics
Distortion of laser beams in media
high-energy laser beams propagate through a medium. It is the result of nonlinear interactions that occur when the medium (e.g. air or glass) is heated by absorbing
Thermal_blooming
involved crossing two replicas of the pulse to be measured in a nonlinear-optical medium (where one gated the other in time) and measuring the spectrum
Double-blind frequency-resolved optical gating
Double-blind_frequency-resolved_optical_gating
Method of measuring ultrashort laser pulses
the frequency. The laser is then retro-reflected. By using a nonlinear medium, the nonlinear (SHG, THG, etc.) spectra vs. the phase scan can be recorded
Multiphoton intrapulse interference phase scan
Multiphoton_intrapulse_interference_phase_scan
Literary genre
fully capture. Although frequently compared to “nonlinearity” in physics, Aarseth treats such nonlinearity in hypertext as a topological, graph-theoretic
Ergodic_literature
Small disturbance moving through a physical medium
an individual disturbance that propagates through a transmission medium. This medium may be vacuum (in the case of electromagnetic radiation) or matter
Pulse_(physics)
American astrophysicist (born 1955)
bounded by shocks on both sides is subject to a nonlinear instability, usually described as a nonlinear thin shell instability (NTSI). He has also worked
Ethan_Vishniac
American physicist
physics and especially in nonlinear optics. He is currently the Canada Excellence Research Chair Laureate in Quantum Nonlinear Optics based at the University
Robert_W._Boyd
Physical process by which matter takes up a photon's energy and stores it
varies as a function of wave intensity, and saturable absorption (or nonlinear absorption) occurs. Many approaches can potentially quantify radiation
Absorption (electromagnetic radiation)
Absorption_(electromagnetic_radiation)
Idea that small causes can have large effects
initial conditions in which a small change in one state of a deterministic nonlinear system can result in large differences in a later state. The term is closely
Butterfly_effect
Nonlinear optical process
Sum-frequency generation (SFG) is a second order nonlinear optical process based on the mixing of two input photons at frequencies ω 1 {\displaystyle
Sum-frequency_generation
Method of modelling contact between solids
The third medium contact (TMC) is an implicit formulation used in contact mechanics. Contacting bodies are embedded in a highly compliant medium (the third
Third_medium_contact_method
plume of laser ablated plasma. This plasma plume acts as a nonlinear medium for the nonlinear interaction. Typically, a long picosecond laser pulse is used
Resonant high harmonic generation from laser ablated plasma plumes
Resonant_high_harmonic_generation_from_laser_ablated_plasma_plumes
Non-linear optical process
{\displaystyle E({\vec {\mathbf {r} }},t)} is governed in gain medium by the nonlinear Schrödinger-Frantz-Nodvik equation. When ω {\displaystyle \omega
Self-focusing
February 2018). "Observation of three-photon bound states in a quantum nonlinear medium". Science. 359 (6377): 783–786. arXiv:1709.01478. Bibcode:2018Sci.
2018_in_science
Non-destructive audio, video, or image editing
built-in hard disk array. The term nonlinear editing was formalized in 1991 with the publication of Michael Rubin's Nonlinear: A Guide to Digital Film and Video
Non-linear_editing
Nonlinear transduction mechanism
A parametric array, in the field of acoustics, is a nonlinear transduction mechanism that generates narrow, nearly side lobe-free beams of low frequency
Parametric_array
Fundamental interaction between charged particles
proportional change of the fields. Nonlinear dynamics can occur when electromagnetic fields couple to matter that follows nonlinear dynamical laws. This is studied
Electromagnetism
Dynamic disturbance in a medium or field
velocity. Solitons are caused by a cancellation of nonlinear and dispersive effects in the medium. (Dispersive effects are a property of certain systems
Wave
Study of mathematical algorithms for optimization problems
ratios of two nonlinear functions. The special class of concave fractional programs can be transformed to a convex optimization problem. Nonlinear programming
Mathematical_optimization
Device that emits light via optical amplification
pulse power (rather than the energy in the pulse), especially to obtain nonlinear optical effects. For a given pulse energy, this requires creating pulses
Laser
Practice of recording information
12-18 words per minute). Regardless of the medium, note-taking can be broadly divided into linear and nonlinear methods, which can be combined. Regardless
Note-taking
Laser pulsing technique
using electrically switched Kerr cell shutters in a ruby laser. Optical nonlinearities such as Q-switching were fully explained by Nicolaas Bloembergen, who
Q-switching
Effective quantum electrodynamics action
example of nonlinear electrodynamics. It was first obtained by Werner Heisenberg and Hans Heinrich Euler in 1936. By treating the vacuum as a medium, it predicts
Euler–Heisenberg_Lagrangian
Microscope imaging technique
Second-harmonic imaging microscopy (SHIM) is based on a nonlinear optical effect known as second-harmonic generation (SHG). SHIM has been established
Second-harmonic imaging microscopy
Second-harmonic_imaging_microscopy
Vast empty spaces between filaments with few or no galaxies
637. ISSN 0035-8711. Frenk, C. S.; White, S. D. M.; Davis, M. (1983). "Nonlinear evolution of large-scale structure in the universe". The Astrophysical
Void_(astronomy)
Ferroresonance, or nonlinear resonance, is a rare type of resonance in electric circuits which occurs when a circuit containing a nonlinear inductance is fed
Ferroresonance in electricity networks
Ferroresonance_in_electricity_networks
Analytic solution of the nonlinear Schrödinger equation
nonlinearity is self-focusing (note that similar results could be obtained for a normally dispersive medium combined with a defocusing nonlinearity)
Peregrine_soliton
Physical system satisfying the superposition principle
typically exhibit features and properties that are much simpler than the nonlinear case. As a mathematical abstraction or idealization, linear systems find
Linear_system
THz generation depends on the second order susceptibility of the nonlinear optical medium. A popular material for generating radiation in the 0.5–3 THz range
Optical_rectification
Branch of material physics involving photoelectronic devices
or polymer EO material. They consist of nonlinear optical chromophores in a polymer lattice. The nonlinear optical chromophores can produce Pockels effect
Electro-optics
Numerical model of nonlinear optical systems
The numerical models of lasers and the most of nonlinear optical systems stem from Maxwell–Bloch equations (MBE). This full set of Partial Differential
Lugiato–Lefever_equation
Scholar of video game studies
behind nonlinear texts, stepping away from the category of hypertext and delving into different types of media which can also be considered nonlinear. He
Espen_Aarseth
whenever the dispersion relation for the finite difference approximation is nonlinear. For these reasons, it is often seen as a numerical error. Numerical dispersion
Numerical_dispersion
NONLINEAR MEDIUM
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