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Equation of the form 1/a + 1/b = 1/c
In number theory, the optic equation is an equation that requires the sum of the reciprocals of two positive integers a and b to equal the reciprocal
Optic_equation
17th-century conjecture proved by Andrew Wiles in 1994
is, those with no prime factor common to all of a, b, and c) to the optic equation a−1 + b−1 = c−1 can be written as a = m k + m 2 b = m k + k 2 c = m
Fermat's_Last_Theorem
Mathematical puzzle
solution methods below rely on the property that A, B, and h satisfy the optic equation, i.e. 1 A + 1 B = 1 h , {\displaystyle {\tfrac {1}{A}}+{\tfrac {1}{B}}={\tfrac
Crossed_ladders_problem
Light-conducting fiber
transmit light from one end to the other. Such fibers are widely used in fiber-optic communication, where they permit transmission over longer distances and
Optical_fiber
Relation between sides of a right triangle
4, 5. The reciprocal Pythagorean theorem is a special case of the optic equation 1 p + 1 q = 1 r {\displaystyle {\frac {1}{p}}+{\frac {1}{q}}={\frac
Pythagorean_theorem
Shape with seven sides
c {\displaystyle {\frac {1}{a}}={\frac {1}{b}}+{\frac {1}{c}}} (the optic equation) and hence a b + a c = b c , {\displaystyle ab+ac=bc,} and b 3 + 2 b
Heptagon
of numbers times the reciprocal of the sum of their reciprocals. The optic equation requires the sum of the reciprocals of two positive integers a and b
List_of_sums_of_reciprocals
Study of interactions between sound and light
(or sound in general) through an ultrasonic grating. In general, acousto-optic effects are based on the change of the refractive index of a medium due
Acousto-optics
Mathematical descriptions of transmission line voltage and current
The telegrapher's equations (or telegraph equations) are a set of two coupled, linear partial differential equations that model voltage and current along
Telegrapher's_equations
Inverse of the average of the inverses of a set of numbers
along the three crystallographic directions. As for other optic equations, the thin lens equation 1/f = 1/u + 1/v can be rewritten such that the focal
Harmonic_mean
Empirical relationship between refractive index and wavelength
Sellmeier equation is an empirical relationship between refractive index and wavelength for a particular transparent medium. The equation is used to
Sellmeier_equation
Unit of the U.S. National Security Agency
equipped submarines, currently the USS Jimmy Carter, are used to wiretap fibre optic cables around the globe. S3283 – Expeditionary Access Operations (EAO) S3285
Tailored_Access_Operations
Changes to light reflected from a magnetized surface
In physics the magneto-optic Kerr effect (MOKE) or the surface magneto-optic Kerr effect (SMOKE) is one of the magneto-optic effects. It describes the
Magneto-optic_Kerr_effect
Change in refractive index of a material in response to an applied electric field
The Kerr effect, also called the quadratic electro-optic (QEO) effect, is a change in the refractive index of a material in response to an applied electric
Kerr_effect
Pattern of motion in a visual scene due to relative motion of the observer
Optical flow or optic flow is the pattern of apparent motion of objects, surfaces, and edges in a visual scene caused by the relative motion between an
Optical_flow
Obtuse triangle formed by the side and diagonals of a regular heptagon
{1}{a}}&={\frac {1}{b}}+{\frac {1}{c}}\end{aligned}}} (the latter being the optic equation) and hence a b + a c = b c , {\displaystyle ab+ac=bc,} and b 3 + 2 b
Heptagonal_triangle
Optical device which transmits and refracts light
conical optical surface. It images a point source into a line along the optic axis, or transforms a laser beam into a ring. Diffractive optical elements
Lens
Device that converts sound into an electrical signal
recording. Fiber-optic microphones possess high dynamic and frequency range, similar to the best high-fidelity conventional microphones. Fiber-optic microphones
Microphone
Refractive property of materials
known as the optic axis of the material. Light propagating parallel to the optic axis (whose polarization is always perpendicular to the optic axis) is governed
Birefringence
laser diode rate equations model the electrical and optical performance of a laser diode. This system of ordinary differential equations relates the number
Laser_diode_rate_equations
Optical fiber designed to carry only a single mode of light, the transverse mode
In fiber-optic communication, a single-mode optical fiber, also known as fundamental- or mono-mode, is an optical fiber designed to carry only a single
Single-mode_optical_fiber
Relativistic effect due to rotation
a standard fibre optic gyroscope, shown on the left, and a modified fibre optic conveyor, shown on the right, conform to the equation Δt = 2vL/c2, whose
Sagnac_effect
Branch of physics that studies light
waves. The Kirchhoff diffraction equation, which is derived using Maxwell's equations, puts the Huygens-Fresnel equation on a firmer physical foundation
Optics
All points for which two tangents of a curve intersect at 90° angles
= 1 {\displaystyle x^{2/3}+y^{2/3}=1} is a quadrifolium with the polar equation r = 1 2 cos ( 2 φ ) , 0 ≤ φ < 2 π {\displaystyle r={\tfrac {1}{\sqrt
Orthoptic_(geometry)
Accounting of signal gains and losses in communications
waves, cables, waveguides, or optical fibers, to the receiver. It is an equation giving the received power from the transmitter power, after the attenuation
Link_budget
Study of classical optics using Fourier transforms
Substituting this expression into the scalar wave equation above yields the time-independent form of the wave equation, Re { ( ∇ 2 + k 2 ) ψ ( r ) } = 0 {\displaystyle
Fourier_optics
Two-terminal electronic component
Hui, Rongqing (2020). "Passive optical components". Introduction to Fiber-Optic Communications. pp. 209–297. doi:10.1016/B978-0-12-805345-4.00006-8.
Diode
Topics referred to by the same term
refer to: Eom (Korean surname) Electro-optic modulator End of message Enterprise output management Equations of motion Ensemble optimization method;
EOM
curvature of the optical surface. The sag S(r) is the displacement along the optic axis of the surface from the vertex, at distance r {\displaystyle r} from
Sagitta_(optics)
changing thermal environment can cause an optic to bend due to either 1) changing thermal gradients on the optic and a non-zero coefficient of thermal expansion
Optothermal_stability
American-Canadian mathematician
worked for two years at the United States Naval Research Laboratory on fiber optic sensors and then went to graduate school to study mathematics. He received
James_Colliander
Minimum energy required for a chemical reaction
equation gives the quantitative basis of the relationship between the activation energy and the rate at which a reaction proceeds. From the equation,
Activation_energy
Physical magneto-optical phenomenon
Faraday effect or Faraday rotation, sometimes referred to as the magneto-optic Faraday effect (MOFE), is a physical magneto-optical phenomenon. The Faraday
Faraday_effect
Device for measuring or maintaining orientation
electronic devices (sometimes called gyrometers), solid-state ring lasers, fibre optic gyroscopes, and the extremely sensitive quantum gyroscope. Applications
Gyroscope
Quantum mechanical waves describing matter
some sort of wave equation. Inspired by Debye's remark, Erwin Schrödinger decided to find a proper three-dimensional wave equation for the electron. He
Matter_wave
Self-reinforcing single wave packet
in fiber optics applications. Solitons in a fiber optic system are described by the Manakov equations. Solitons' inherent stability make long-distance
Soliton
Distance from the vertex of a lens or mirror to its center of curvature
_{1}r^{2}+\alpha _{2}r^{4}+\alpha _{3}r^{6}+\cdots ,} where the optic axis is presumed to lie in the z direction, and z ( r ) {\displaystyle z(r)}
Radius_of_curvature_(optics)
Optical polarization device
. The ordinary axis is perpendicular to the optic axis. The extraordinary axis is parallel to the optic axis. For a light wave normally incident upon
Waveplate
Topics referred to by the same term
nonlinear optical effect; AKA the Kerr effect or the quadratic electro-optic (QEO) effect), a change in the refractive index of a material proportional
Nonlinearity_(disambiguation)
Model of optics describing light as geometric rays
allows for fiber optics technology. As light signals travel down a fiber optic cable, they undergo total internal reflection allowing for essentially no
Geometrical_optics
Electronic method of transmitting information with a carrier wave
Automatic frequency control Modulation sphere Polar modulation Electro-optic modulator for Pockel's Effect phase modulation for applying sidebands to
Phase_modulation
Fundamental interaction between charged particles
and distribution; light, heat, and sound production and detection; fiber optic and wireless communication; sensors; computation; electrolysis; electroplating;
Electromagnetism
Phenomenon in nonlinear optics
identical properties to the case of three interacting waves. FWM is a fiber-optic characteristic that affects wavelength-division multiplexing (WDM) systems
Four-wave_mixing
Measure of laser beam quality
wavelength. The quality of a beam is important for many applications. In fiber-optic communications beams with an M2 close to 1 are required for coupling to
Beam_parameter_product
Electromagnetic radiation humans can see
on objects in its path, a phenomenon which can be deduced by Maxwell's equations, but can be more easily explained by the particle nature of light: photons
Light
Component of stress coplanar with a material cross section
Pure shear stress is related to pure shear strain, denoted γ, by the equation τ = γ G , {\displaystyle \tau =\gamma G,} where G is the shear modulus
Shear_stress
Absorption wavemeter Acoustic wave Acoustic wave equation Acoustics Acousto-optic effect Acousto-optic modulator Acousto-optics Airy disc Airy wave theory
Index_of_wave_articles
Branch of physics
using computer programs to compute approximate solutions to Maxwell's equations to calculate antenna performance, electromagnetic compatibility, radar
Computational electromagnetics
Computational_electromagnetics
Decreased ability to see color or color differences
blindness can also result from physical or chemical damage to the eye, the optic nerve, parts of the brain, or from medication toxicity. Color vision also
Color_blindness
Visual impairment
confirmed visual and anatomical changes during or after long-duration flights. Optic disc edema, globe flattening, choroidal folds, hyperopic shifts and an increased
Spaceflight associated neuro-ocular syndrome
Spaceflight_associated_neuro-ocular_syndrome
Disclosures of NSA and related global espionage
University of Hong Kong and Tsinghua University in Beijing, and the Asian fiber-optic network operator Pacnet. Only Australia, Canada, New Zealand and the UK
Snowden_disclosures
Branch of physics
used in electro-optic modulators. Acousto-optics, the refractive index is affected by acoustic waves (ultrasound); used in acousto-optic modulators. Raman
Nonlinear_optics
Region of a magnetic material in which the magnetization has uniform direction
nonlinear differential equations, called Brown's equations after William Fuller Brown Jr. Although in principle these equations can be solved for the stable
Magnetic_domain
Absorption Absorption spectrum Acousto-optics Acousto-optic deflector Acousto-optic filter Acousto-optic modulator Active laser medium Afterglow Airglow Airy
Index_of_optics_articles
Organ central to the nervous system
the cerebellum and 50% of all neurons are held within its structure. The optic tectum allows actions to be directed toward points in space, most commonly
Brain
Transoceanic communication line placed on the seabed
War II. Active fiber-optic cables may be useful in detecting seismic events which alter cable polarization. In the 1980s, fiber-optic cables were developed
Submarine communications cable
Submarine_communications_cable
Subfield of magnetism
standard in laboratory environments.[citation needed] Based on the magneto-optic Kerr effect, TR-MOKE is a pump-probe technique where a pulsed laser source
Magnonics
Continuously computed dead reckoning
original velocity as the initial conditions) using the correct kinematic equations yields the inertial velocities of the system and integration again (using
Inertial_navigation_system
Cable or other structure for carrying radio waves
approximately constant. The telegrapher's equations (or just telegraph equations) are a pair of linear differential equations which describe the voltage ( V {\displaystyle
Transmission_line
Hard, chalky deposit of calcium carbonate
of water softening or other water treatment. Limescale can also affect optic products, such as glasses and mirrors. The type found deposited on the heating
Limescale
Type of lens
a conic section rotated about the optic axis, with form determined by κ {\displaystyle \kappa } : The above equation suffers from strong correlation between
Aspheric_lens
Apparatus for trapping and cooling neutral atoms
is linearly proportional to the field strength. As a note, the Maxwell equation ∇ ⋅ B = 0 {\displaystyle \nabla \cdot \mathbf {B} =0} implies that the
Magneto-optical_trap
Transfer of information or power that does not require the use of physical wires
first practical applications in military communications and later in fiber-optic communications. A number of wireless electrical signaling schemes including
Wireless
Optical polarization rotator based on the Faraday effect
rotator is a polarization rotator based on the Faraday effect, a magneto-optic effect involving transmission of light through a material when a longitudinal
Faraday_rotator
Chinese-American optical engineer
that are: Sun, Haiyin (2026). Non-Sequential Optical Design using Zemax OpticStudio®: Design Process and Practical Examples. Bellingham, Washington: SPIE
Haiyin_Sun
Imaging using the photoacoustic effect
internal source distribution, we need to solve the inverse problem of equation (3) (i.e. to obtain p 0 {\displaystyle p_{0}} ). A representative method
Photoacoustic_imaging
Spectral line splitting in magnetic field
to Zeeman effect. Cotton–Mouton effect Faraday effect Lamb shift Magneto-optic Kerr effect Polarization spectroscopy Stark effect Voigt effect Zeeman energy
Zeeman_effect
Integral of a comparatively larger force over a short time interval
per unit mass. This fact can be used to derive the Tsiolkovsky rocket equation, which relates the vehicle's propulsive change in velocity to the engine's
Impulse_(physics)
Reflection which reverses the direction of a wave, particle, or signal
non-linear optics, and described by a class of solutions to the three-wave equation. Sometimes, the scattering is more or less isotropic, i.e. the incoming
Backscatter
Python package
Python package solves large-scale mixed-integer and differential algebraic equations with nonlinear programming solvers (IPOPT, APOPT, BPOPT, SNOPT, MINOS)
Gekko_(optimization_software)
Theory of interwoven space and time by Albert Einstein
{\displaystyle dt'} from Equation 5 into Equation 8, followed by straightforward mathematical manipulations and back-substitution from Equation 7 yields the Lorentz
Special_relativity
Metabolic disorder in humans
D., Jonathan. "Graves' Disease: Proptosis, Lid Retraction, Strabismus, Optic Nerve Compression". The Eyes Have It. University of Michigan Kellogg Eye
Hypermetabolism
Ongoing conflict since 2014
Politics portal Russia portal Ukraine portal Current events portal Fiber optic drone – Uncrewed vehicle guided by an optical fiber List of conflicts in
Russo-Ukrainian_war
Design rule for optical systems
_{\mathrm {o} },\beta _{\mathrm {o} })} are the angles (relative to the optic axis) of any two rays as they leave the object, and ( α i , β i ) {\textstyle
Abbe_sine_condition
Eye reflex which alters the pupil's size in response to light intensity
convey information via the optic nerve, the most peripheral, distal, portion of which is the optic disc. Some axons of the optic nerve connect to the pretectal
Pupillary_light_reflex
Marvel Comics superhero
aggressive. Cyclops emits powerful beams of energy from his eyes, described as "optic blasts", which have the appearance of red light and deliver massive concussive
Cyclops_(Marvel_Comics)
Computer that uses photons or light waves
things to function well: optical processor optical data transfer, e.g. fiber-optic cable optical storage, optical power source (light source) Substituting
Optical_computing
Process of achieving optothermal stability in optomechanical systems
glass-dependent constants for an optic in vacuum. The power of an optic as a function of temperature can be written from the equations for extensive and intensive
Athermalization
American physicist
underwater acoustics. He is noted for the development of the parabolic equation model and split-step Fourier algorithm for electromagnetic and ocean acoustic
Fred_Tappert
Glass consisting of pure silica
impurity content making it transparent deeper into the ultraviolet. An optic with a thickness of 1 cm has a transmittance around 50% at a wavelength
Fused_quartz
Semiconductor light source
as semiconductor lasers) are used to send data over many types of fiber optic cable, from digital audio over TOSLINK cables to the very high bandwidth
Light-emitting_diode
Liquid that is attracted by poles of a magnet
selectively react to a song's treble or bass. A magneto-optic device and magnetic-field flux viewer dynamic optic lens can be created by using a superparamagnetic
Ferrofluid
Gradual loss of flux intensity through a medium
Stokes' law for measuring extensional viscosity and volume viscosity. Wave equations which take acoustic attenuation into account can be written on a fractional
Attenuation
Speed of electromagnetic waves
to the speed of light through air have over comparatively slower fibre optic signals. Similarly, communications between the Earth and spacecraft are
Speed_of_light
History of research by Augustin-Jean Fresnel
between the ray and the optic axis. By Malus's definition, the plane of polarization of a ray was the plane of the ray and the optic axis if the ray was ordinary
Fresnel's_physical_optics
Jean Paul; Pelenc, Denis; Fontana, Marc D. (2005-02-01). "Electro-optic, thermo-optic, and dielectric properties of YCOB and Nd:YCOB crystals: comparative
Nd:YCOB
the advent of wave division multiplexing (WDM) and the rollout of fiber optic cables in the mid-1990s, had a revolutionary impact on culture, commerce
History_of_the_Internet
Measure of laser beam quality
unity. The quality of a beam is important for many applications. In fiber-optic communications beams with an M2 close to 1 are required for coupling to
M_squared
Applies an electric current to heat or cool materials
figure of merit known as ZT, a measure of the system's efficiency. The equation for ZT is given below, where α {\displaystyle \alpha } is the Seebeck coefficient
Thermoelectric_heat_pump
nodes. These data links are established over cable media such as wires or optic cables, or wireless media such as Wi-Fi. computer program Is a collection
Glossary_of_computer_science
Instrument that measures and compares tastes
Shin-Won (2017). "Highly sensitive and wide-dynamic-range side-polished fiber-optic taste sensor". Sensors and Actuators B: Chemical. 249: 700–707. Bibcode:2017SeAcB
Electronic_tongue
Physics experiment
interference experiment with light beams modulated in anti-phase by an electro-optic shutter". Physics Letters A. 39 (4): 333–334. Bibcode:1972PhLA...39..333S
Double-slit_experiment
Swiss international advocacy organization
imperative 2007 24–28 January Shaping the global agenda, the shifting power equation 2008 23–27 January The power of collaborative innovation 2009 28 January
World_Economic_Forum
Magnetization by polarized light
)]} With the proper use of the complex form for the electric fields this equation shows that circularly polarized light with the frequency ω {\displaystyle
Inverse_Faraday_effect
Branch of optics
the layers, the air, and the substrate. These effects alter the way the optic reflects and transmits light. This effect, known as thin-film interference
Thin-film_optics
Space in the eye
resulting in increased intraocular pressure, progressive damage to the optic nerve head, and eventually blindness. The depth of the anterior chamber
Anterior_chamber_of_eyeball
Set of integral curves of a vector field
be taken to be an exact or approximate solution to the Einstein field equation. Congruences generated by nowhere vanishing timelike, null, or spacelike
Congruence (general relativity)
Congruence_(general_relativity)
Wave which propagates through a magnetic material
dimensions this equation admits several integrable and non-integrable extensions like the Landau-Lifshitz equation, the Ishimori equation and so on. For
Spin_wave
Clock that monitors the resonant frequency of atoms
established fibre-optic links, and tests have begun on sections between Paris and Teddington, and Paris and Braunschweig. Fibre-optic links between experimental
Atomic_clock
Medical diagnostic method
Ultrasound-modulated optical tomography (UOT), also known as Acousto-Optic Tomography (AOT), is a hybrid imaging modality that combines light and sound;
Ultrasound-modulated optical tomography
Ultrasound-modulated_optical_tomography
OPTIC EQUATION
OPTIC EQUATION
Female
Greek
(Ίσις) Greek form of Coptic Esi, ISIS means "(female) of the throne," which is usually translated "Queen of the throne." This name is a corruption of her true name which is unknown because Egyptian hieroglyphs left out most of the vowels.
OPTIC EQUATION
OPTIC EQUATION
Girl/Female
Arabic, Indian, Kannada, Muslim, Sindhi
Proper Name
Boy/Male
Bengali, Hindu, Indian, Marathi
Victorious; Intelligent
Boy/Male
Tamil
Of the light
Girl/Female
German, Swedish
Noble Women
Surname or Lastname
English (mainly West Country)
English (mainly West Country) : nickname for a pleasant and affable man, from Middle English hende ‘courteous’, ‘kind’, ‘gentle’. Hendy was also sometimes used as a personal name in the Middle Ages and some examples of the surname may derive from this rather than from the nickname. The surname is also found in Ireland.
Girl/Female
Indian
Lady, Wife, Friend
Boy/Male
Indian, Punjabi, Sikh
Songs of God
Boy/Male
Indian, Punjabi, Sanskrit, Sikh
Karma means the Act of Doing
Surname or Lastname
English
English : variant spelling of Moulton.
Boy/Male
Farsi, Indian, Iranian, Parsi
Powerful; Faithfully
OPTIC EQUATION
OPTIC EQUATION
OPTIC EQUATION
OPTIC EQUATION
OPTIC EQUATION
n.
A quantic of the eighth degree.
a.
Situated under the optic thalamus.
n.
A commissure; especially, the optic commissure, or crucial union of the optic nerves.
adv.
By optics or sight; with reference to optics.
a.
Pertaining to, or applied to, the language of the Tuscaroras, Iroquois, Wyandots, Winnebagoes, and a part of the Sioux Indians.
a.
Of or pertaining to the Copts.
n.
That branch of physical science which treats of the nature and properties of light, the laws of its modification by opaque and transparent bodies, and the phenomena of vision.
n.
False optics.
v. t.
To cause to look with noncoincident optic axes.
a.
An eyeglass.
a.
One skilled in optics.
a.
Of or pertaining to the eye; ocular; optic; as, oculary medicines.
a.
Of the eighth degree or order.
n.
The optic capsule; the sclerotic coat of the eye.
a.
The organ of sight; an eye.
n.
The line bisecting the angle between the optic axes of a biaxial crystal.
a.
Having but one optic axis, or line of no double refraction.
a.
Of or pertaining to the eye; optic.
n.
The language of the Copts.
a.
Alt. of Optical