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See searches and references containing PLANE WAVE!PLANE WAVE
Type of wave propagating in 3 dimensions
physics, a plane wave is a special case of a wave or field: a physical quantity whose value, at any given moment, is constant through any plane that is perpendicular
Plane_wave
Dynamic disturbance in a medium or field
physical waves in finite domains. A plane wave is an important mathematical idealization where the disturbance is identical along any (infinite) plane normal
Wave
Expressing a plane wave as a combination of spherical waves
In physics, the plane-wave expansion or Rayleigh expansion expresses a plane wave as a linear combination of spherical waves: e i k ⋅ r = ∑ ℓ = 0 ∞ ( 2
Plane-wave_expansion
Wave shaped like the sine function
sinusoidal plane wave is a special case of plane wave: a field whose value varies as a sinusoidal function of time and of the distance from some fixed plane. It
Sine_wave
Moving wave that has oscillations perpendicular to the direction of the wave
example is the waves that are created on the membrane of a drum. The waves propagate in directions that are parallel to the membrane plane, but each point
Transverse_wave
Property of waves that can oscillate with more than one orientation
electromagnetic waves and polarization in particular, it is easier to just consider coherent plane waves; these are sinusoidal waves of one particular
Polarization_(waves)
Type of plane wave
sinusoidal plane wave is a special case of plane wave: a field whose value varies as a sinusoidal function of time and of the distance from some fixed plane. It
Sinusoidal_plane_wave
Technique in computational electromagnetism
Plane wave expansion method (PWE) refers to a computational technique in electromagnetics to solve the Maxwell's equations by formulating an eigenvalue
Plane_wave_expansion_method
Set of functions used to represent the electronic wave function
approach), which is the usual choice within the quantum chemistry community; plane waves which are typically used within the solid state community, or real-space
Basis_set_(chemistry)
Overview article
the plane waves used to create it, it can be shown that one of the diffracted waves is a re-construction of the other plane wave. When a plane wave is
Physics_of_optical_holography
Particular solutions to the electromagnetic wave equation
Sinusoidal plane-wave solutions are particular solutions to the wave equation. The general solution of the electromagnetic wave equation in homogeneous
Sinusoidal plane-wave solutions of the electromagnetic wave equation
Sinusoidal_plane-wave_solutions_of_the_electromagnetic_wave_equation
Physical model of propagating energy
Electromagnetic waves in free space must be solutions of Maxwell's electromagnetic wave equation. Two main classes of solutions are known, namely plane waves and
Electromagnetic_radiation
Concept in general relativity
pp-wave spacetimes, or pp-waves for short, are an important family of exact solutions of Einstein's field equation. The term pp stands for plane-fronted
Pp-wave_spacetime
Scattering of an electromagnetic plane wave by a sphere
electromagnetic plane wave by a homogeneous sphere. The solution takes the form of an infinite series of spherical multipole partial waves. It is named after
Mie_scattering
Fourier transform of a real-space lattice, important in solid-state physics
that of a direct lattice R n {\displaystyle \mathbf {R} _{n}} . Each plane wave in this Fourier series has the same phase or phases that are differed
Reciprocal_lattice
Study of classical optics using Fourier transforms
considered is regarded as made up of a combination, or superposition, of plane waves. It has some parallels to the Huygens–Fresnel principle, in which the
Fourier_optics
Measure of directional electromagnetic energy flux
standing wave or the near field of an antenna. In a single electromagnetic plane wave (rather than a standing wave which can be described as two such waves travelling
Poynting_vector
Relativistic quantum mechanical wave equation
therefore be written as a linear combination of plane waves. The Dirac equation admits positive frequency plane wave solutions ψ ( x ) = u ( p ) e i p μ x μ {\displaystyle
Dirac_equation
Solution to Einstein field equations
In general relativity, a gravitational plane wave (or plane gravitational wave) is defined to be any non-flat solution to Einstein's empty space-time
Gravitational_plane_wave
Differential equation important in physics
(two-way) wave equation can be quite complicated. Still, it can be analyzed as a linear combination of simple solutions that are sinusoidal plane waves with
Wave_equation
Locus of points at equal phase in a wave
sinusoidal plane wave, the wavefronts are planes perpendicular to the direction of propagation, that move in that direction together with the wave. For a
Wavefront
Operator in quantum mechanics
eigenvalues for each plane wave component. These new components then superimpose to form the new state, in general not a multiple of the old wave function. The
Momentum_operator
Fundamental theorem in condensed matter physics
the Schrödinger equation in a periodic potential can be expressed as plane waves modulated by periodic functions. The theorem is named after the Swiss
Bloch's_theorem
Far-field diffraction
Fraunhofer diffraction equation is used to model the diffraction of waves when plane waves are incident on a diffracting object, and the diffraction pattern
Fraunhofer_diffraction
Generalized function whose value is zero everywhere except at zero
into plane waves, then one can in principle solve linear partial differential equations. Such a decomposition of the delta function into plane waves was
Dirac_delta_function
Type of plane wave
In mathematics and physics, a traveling plane wave is a special case of plane wave, namely a field whose evolution in time can be described as simple translation
Traveling_plane_wave
Method in physics
The linearized augmented-plane-wave method (LAPW) is an implementation of Kohn-Sham density functional theory (DFT) adapted to the simulation of a wide
Linearized augmented-plane-wave method
Linearized_augmented-plane-wave_method
Short "burst" or "envelope" of restricted wave action that travels as a unit
relation should be valid so that the plane wave is a solution to the wave equation. As the relation is linear, the wave equation is said to be non-dispersive
Wave_packet
Vibration that travels via pressure waves in matter
vibration. A longitudinal plane wave, the horizontally distorted region moving across the grid. A transverse plane wave, the vertically distorted region
Sound
Electromagnetic radiation special case
See polarization and plane of polarization for more information. The orientation of a linearly polarized electromagnetic wave is defined by the direction
Linear_polarization
Phenomenon resulting from the superposition of two waves
of the two waves is zero W 1 + W 2 = 0 {\displaystyle W_{1}+W_{2}=0} A simple form of interference pattern is obtained if two plane waves of the same
Wave_interference
Particle that is not bound by an external force
for a particle with momentum p or wave vector k, at angular frequency ω or energy E, is given by a complex plane wave: ψ ( r , t ) = A e i ( k ⋅ r − ω
Free_particle
Probability amplitude in quantum scattering theory
is the probability amplitude of the outgoing spherical wave relative to the incoming plane wave in a stationary-state scattering process. Scattering in
Scattering_amplitude
Distance over which a wave's shape repeats
by replacing the wavenumber k with a wave vector that specifies the direction and wavenumber of a plane wave in 3-space, parameterized by position vector
Wavelength
Interference phenomenon of waves
plane wave and a cylindrical wave that appears to emitted from the edge. Augustin-Jean Fresnel revisited the problem and devised an alternative wave theory
Diffraction
Equation in fluid dynamics
, & Stuart, J. T. (1971). A non-linear instability theory for a wave system in plane Poiseuille flow. Journal of Fluid Mechanics, 48(3), 529-545. Hocking
Ginzburg–Landau_equation
relativity, the monochromatic electromagnetic plane wave spacetime is the analog of the monochromatic plane waves known from Maxwell's theory. The precise
Monochromatic electromagnetic plane wave
Monochromatic_electromagnetic_plane_wave
Fundamental principle of physics
the behavior of any light wave can be understood as a superposition of the behavior of these simpler plane waves. Waves are usually described by variations
Superposition_principle
Optical filter
amplitudes on the surface of the scatterers. Bloch wave - MoM is similar in principle to the plane wave expansion method, but since it additionally employs
Frequency_selective_surface
Notation system for crystal lattice planes
lattice point from the reciprocal lattice origin) is the wavevector of a plane wave in the Fourier series of a spatial function (e.g., electronic density
Miller_index
Technique for modeling the propagation of a wave field
propagation of a wave field. This technique involves expanding a complex wave field into a summation of infinite number of plane waves of the same frequency
Angular_spectrum_method
Spatial frequency of a wave
exponentially decaying evanescent fields. The propagation factor of a sinusoidal plane wave propagating in the positive x direction in a linear material is given
Wavenumber
Constant related to electromagnetic wave propagation in a medium
propagation). For a transverse-electric-magnetic (TEM) plane wave traveling through a homogeneous medium, the wave impedance is everywhere equal to the intrinsic
Wave_impedance
Recording to reproduce a three-dimensional light field
point source and the recording plane. When a plane wave-front illuminates a negative lens, it is expanded into a wave that appears to diverge from the
Holography
Quantum explanation of electromagnetic polarization
mechanical description of the classical polarized sinusoidal plane electromagnetic wave. An individual photon can be described as having right or left
Photon_polarization
Value for the flow of probability in quantum mechanics
t}}=0} (that is, plane waves are stationary states) but the probability current is nonzero – the square of the absolute amplitude of the wave times the particle's
Probability_current
Measure of change in amplitude and phase of a wave
shunt admittance of the line per unit length. The propagation factor of a plane wave traveling in a linear media in the x direction is given by P = e − γ x
Propagation_constant
Glass tank of water demonstrating the basic properties of waves
and generating ripples. A number of wave properties can be demonstrated with a ripple tank. These include plane waves, reflection, refraction, interference
Ripple_tank
Electron-many photon scattering
scattering off high-energy photons in the field of a monochromatic background plane wave with either circular or linear polarization was one of the most studied
Non-linear inverse Compton scattering
Non-linear_inverse_Compton_scattering
Electromagnetic plane wave
Zenneck wave, Zenneck surface wave or Sommerfeld-Zenneck surface wave is a longitudinal, inhomogeneous or non-uniform electromagnetic plane wave incident
Zenneck_wave
Approximation in many-body systems
Steven Gwon Sheng Louie. ABINIT - plane-wave pseudopotential method ADF - Slater basis set method BerkeleyGW - plane-wave pseudopotential method CP2K - Gaussian-based
GW_approximation
Type of radio propagation
we find that radio waves, as they exist in free space in the far field or Fraunhofer region behave as plane waves. In plane waves the electric field,
Non-line-of-sight_propagation
An acoustic duct or plane wave tube is a test facility used in acoustics. Anechoic chambers are typically subject to a low frequency limit, governed by
Plane_wave_tube
Formulation of classical mechanics
formulation of mechanics in which the motion of a particle can be represented as a wave. In this sense, it fulfilled a long-held goal of theoretical physics (dating
Hamilton–Jacobi_equation
Foundational principle in quantum physics
addition of many plane waves, the wave packet can become more localized. We may take this a step further to the continuum limit, where the wave function is
Uncertainty_principle
Partial differential equation used in physics
plane defined by a unit normal vector n = k k . {\displaystyle \mathbf {n} ={\mathbf {k} \over k}.} Then planar traveling wave solutions of the wave equations
Electromagnetic_wave_equation
Matrix representing the effect of scattering on a physical system
solutions of the Schrödinger equation outside the potential barrier are plane waves given by ψ L ( x ) = A e i k x + B e − i k x {\displaystyle \psi _{\rm
S-matrix
Complex four-component spinor
In quantum field theory, plane-wave solutions to the Dirac equation, are standard basis solutions to the Dirac equation describing the propagation of Dirac
Plane-wave solutions to the Dirac equation
Plane-wave_solutions_to_the_Dirac_equation
Surface on an antenna in electromagnetics
and power flux density are functions of incident angle of a plane wave. Assume a plane wave from a particular direction ( θ , ϕ ) {\displaystyle (\theta
Aperture_(antenna)
Type of amusement ride
chair swing ride (sometimes called a swing carousel, wave swinger, yo-yo, waver swinger, Chair-O-Planes, Dodo or swinger) is an amusement ride that is a variation
Swing_ride
Rate of change of acceleration with time
"Compression wave patterns" as a compressional plane wave through an elastically deformable material. Also shown, for angular jerk, are the deformation waves propagating
Jerk_(physics)
Mathematical explanation of far field diffraction
diffraction of waves when the diffraction pattern is viewed at a long distance from the diffracting object, and also when it is viewed at the focal plane of an
Fraunhofer diffraction equation
Fraunhofer_diffraction_equation
Predecessor to the theory of relativity
gravitational plane wave in general relativity has only a five-dimensional Lie group of isometries. (In both theories, special plane waves may have extra
Nordström's theory of gravitation
Nordström's_theory_of_gravitation
Equations describing diffraction in a crystal lattice
wave vector for a plane wave associated with parallel crystal lattice planes. (Wavefronts of the plane wave are coincident with these lattice planes.)
Laue_equations
Reflector that has the shape of a paraboloid
transforms an incoming plane wave travelling along the axis into a spherical wave converging toward the focus. Conversely, a spherical wave generated by a point
Parabolic_reflector
Equations of light transmission and reflection
assumed to be a plane wave, which is sufficient to solve any problem since any incident light field can be decomposed into plane waves and polarizations
Fresnel_equations
Array of antennas creating a steerable beam
elements' varying position on the surface, allowing the array to radiate a plane wave. Conformal antennas are used in aircraft and missiles, to integrate the
Phased_array
Physical constant; ratio of electric to magnetic field strength in a vacuum
electrical resistance. The impedance of free space (that is, the wave impedance of a plane wave in free space) is equal to the product of the vacuum permeability
Impedance_of_free_space
Quantum mechanical waves describing matter
are plane waves. There are significant numbers of other matter waves, which can be broadly split into three classes: single-particle matter waves, collective
Matter_wave
Relativistic wave equation in quantum mechanics
most general solution to the Klein–Gordon equation is a superposition of plane wave solutions whose momenta satisfy the energy-momentum relation. By imposing
Klein–Gordon_equation
Technique in quantum mechanics for solving scattering problems
like free particles. The incoming beam is assumed to be a collimated plane wave exp ( i k z ) {\displaystyle \exp(ikz)} traveling along the z axis.
Partial-wave_analysis
Nonlinear optical process
generation (SHG), also known as frequency doubling, is the lowest-order wave-wave nonlinear interaction that occurs in various systems, including optical
Second-harmonic_generation
Type of graph in mathematics and physics
coefficient of the outgoing plane wave at 0 {\displaystyle 0} and c ^ {\displaystyle {\hat {c}}} coefficient of the incoming plane wave at 0 {\displaystyle 0}
Quantum_graph
Polarization state
magnitude and is rotating at a constant rate in a plane perpendicular to the direction of the wave. In electrodynamics, the strength and direction of
Circular_polarization
Equation for two-body bound states
- plane-wave pseudopotential BerkeleyGW – plane-wave pseudopotential ExC - plane-wave pseudopotential Fiesta - Gaussian all-electron Abinit - plane-wave
Bethe–Salpeter_equation
Aspect of relativity in physics
established the existence of plane wave solutions for gravitational waves. Paul Dirac further postulated the existence of gravitational waves, declaring them to
Gravitational_wave
Software for quantum chemistry methods
functional theory (DFT), plane wave basis sets, and pseudopotentials (both norm-conserving and ultrasoft). The core plane wave DFT functions of QE are
Quantum_ESPRESSO
Type of elastic body wave
In solid mechanics, S waves, secondary waves, or shear waves (sometimes called elastic S waves) are a type of elastic wave and are one of the two main
S_wave
Mathematical model of how solid objects deform
waves are called longitudinal and shear elastic waves. In the seismological literature, the corresponding plane waves are called P-waves and S-waves (see
Linear_elasticity
Type of antenna
of radio waves at the focal point in front of a paraboloidal reflector of conductive material will be reflected into a collimated plane wave beam along
Parabolic_antenna
Type of antenna
known as passive phased array, is an antenna in which the beam of radio waves can be electronically steered to point in different directions (that is
Passive electronically scanned array
Passive_electronically_scanned_array
Wave phenomenon
the wave and ϕ {\displaystyle \phi } is the phase of the wave at the slits at time t = 0. The wave at a screen some distance away from the plane of the
Diffraction_from_slits
Relativistic wave equation describing massless fermions
{\displaystyle {\bar {\sigma }}^{\mu }\partial _{\mu }\psi _{\rm {L}}=0} . The plane-wave solutions to the Weyl equation are referred to as the left- and right-handed
Weyl_equation
Periodic optical nanostructure that affects the motion of photons
dispersion method also exploited plane wave expansion but formulates Maxwell's equation as an eigenproblem for the wave vector k while the frequency ω {\displaystyle
Photonic_crystal
Mathematical description of quantum state
determines how wave functions evolve over time, and a wave function behaves qualitatively like other waves, such as water waves or waves on a string, because
Wave_function
Opposition that a system presents to an acoustic pressure
the start of a pipe and a plane wave is sent into the pipe, the wave passing through the aperture is a progressive plane wave in the absence of reflections
Acoustic_impedance
Software for condensed matter physics
either Vanderbilt pseudopotentials, or the projector augmented wave method, and a plane wave basis set. The basic methodology is density functional theory
Vienna Ab initio Simulation Package
Vienna_Ab_initio_Simulation_Package
Optical principle
polarization. Light waves that exhibit oscillation in a single plane are referred to as plane-polarized light waves. In such waves, the electric field
Huygens principle of double refraction
Huygens_principle_of_double_refraction
Optical phenomenon
plane wave components with differing wave vectors. The Fresnel reflection coefficients are both polarization and angle dependent, so each plane wave component
Goos–Hänchen_effect
Concept in physics
wavelets as described by the Huygens principle. Each scattered wave contributes to a new plane wave given by: k ′ = 2 π λ n ^ ′ {\displaystyle \mathbf {k^{\prime
Bragg_plane
System of linked seismometers
2015-11-17. Del Pezzo, E., and Giudicepietro, F. (2002). Plane wave fitting method for a plane, small aperture, short period seismic array: a MATHCAD program
Seismic_array
Lobe in a discrete aperture antenna
is greater than a half wavelength, a spatial aliasing effect allows plane waves incident to the array from visible angles other than the desired direction
Grating_lobes
Elapsed fraction of a cycle of a periodic function
In physics and mathematics, the phase (symbol φ or ϕ) of a wave or other periodic function F {\displaystyle F} of some real variable t {\displaystyle t}
Phase_(waves)
Vector describing a wave; often its propagation direction
In physics, a wave vector (or wavevector) is a vector used in describing a wave, with a typical unit being cycle per metre. It has a magnitude and direction
Wave_vector
Subwoofer speaker layout
furniture can interfere with the propagation of the plane wave. Frequency range of the plane wave depends on the number of drivers which can be quite
Double_bass_array
Bending of electron beams due to electrostatic interactions with matter
and the form above is called a plane wave as the term inside the exponential is constant on the surface of a plane. The vector k {\displaystyle \mathbf
Electron_diffraction
Electromagnetic effect in physics
wavefunctions for the motion in the x y {\displaystyle xy} plane are given by the product of a plane wave in y {\displaystyle y} and Hermite polynomials attenuated
Quantum_Hall_effect
Angular momentum deriving from photon spin
L_{j}\ ]=0~.} After the plane-wave expansion, the photon spin can be re-expressed in a simple and intuitive form in the wave-vector space S = ℏ ∫ d
Spin angular momentum of light
Spin_angular_momentum_of_light
in solids. The approximation was proposed by John C. Slater. Augmented plane wave method (APW) is a method which uses muffin-tin approximation. It is a
Muffin-tin_approximation
Branch of physics
the electric field to be parallel to the (x,y) plane. The wave is called a transverse magnetic (TM) wave. In 2D and no polarization terms present, Maxwell's
Computational electromagnetics
Computational_electromagnetics
PLANE WAVE
PLANE WAVE
Surname or Lastname
French (Planté)
French (Planté) : topographic name for someone living by an area of planted ground, a herb garden, shrubbery, or more specifically a vineyard.English : variant of Plant.
Surname or Lastname
English and French
English and French : metonymic occupational name for a gardener, in particular someone with a herb garden, from Middle English plant (Old English plante), Old French plante ‘herb’, ‘shrub’, ‘young tree’. In English it may also be a nickname for a tender or delicate individual, from the same word in a transferred sense.French : topographic name for a planted area, in particular one planted with herbs or vines. Compare Plantier.Jewish (eastern Ashkenazic) : unexplained.
Surname or Lastname
English
English : topographic name for someone who lived in a lane, Middle English, Old English lane, originally a narrow way between fences or hedges, later used to denote any narrow pathway, including one between houses in a town.Irish : reduced Anglicized form of Gaelic Ó Laighin ‘descendant of Laighean’, a byname meaning ‘spear’, or ‘javelin’.Irish : reduced Anglicized form of Gaelic Ó Luain ‘descendant of Luan’, a byname meaning ‘warrior’.Irish : reduced Anglicized form of Gaelic Ó Liatháin (see Lehane).Southern French : variant of Laine.Possibly also a variant of Southern French Lande.
Boy/Male
English American
From the long meadow 'Path; roadway.
Boy/Male
Hindu, Indian, Tamil
Plane; Vayu Yaan
Girl/Female
Australian, Celtic
Fair
Boy/Male
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Sanskrit
Little Plant; Small Plant
Girl/Female
Tamil
Planet
Girl/Female
Australian, French, Greek
Shining; Bright; Similar to Helen
Girl/Female
Tamil
Kshetra | கà¯à®·à¯‡à®¤à¯à®°Â
Place
Kshetra | கà¯à®·à¯‡à®¤à¯à®°Â
Girl/Female
Australian, Irish
Island
Boy/Male
English Scottish American Celtic Gaelic
Surname or Lastname
English (chiefly Berkshire)
English (chiefly Berkshire) : from Middle English planke ‘plank’ (Late Latin planca). It is not clear how this word was applied as a surname: it may be a topographic name for someone who lived near a plank bridge over a stream, a metonymic occupational name for a carpenter, or a nickname for a thin person.North German : nickname for a cantankerous person, from Middle Low German plank ‘quarrel’, ‘discord’.North German : metonymic occupational name from Middle Low German plank ‘measure for liquids’.South German : topographic name from Middle High German plank ‘plank’, ‘palisade’.South German : nickname for a fair-haired person, from a variant of Middle High German blanc ‘light’, ‘shining’.
Girl/Female
Christian & English(British/American/Australian)
Narrow Road
Girl/Female
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Oriya, Sindhi, Tamil, Telugu, Traditional
Sacred Plant; A Medicine Plant; Basil Plant
Boy/Male
English
Place.
Girl/Female
American, Australian, British, Danish, English
Path; Way; Road
Male
French
French form of Latin Stephanus, STÉPHANE means "crown."
Boy/Male
Arabic, Parsi
Planet; Planet Jupiter
Boy/Male
American, Anglo, Australian, British, Chinese, Christian, English
A Narrow Country Road; From the Narrow Road
PLANE WAVE
PLANE WAVE
Boy/Male
Muslim
Servant of the merciful one
Girl/Female
Australian, Japanese
Of Faith
Surname or Lastname
English
English : habitational name from Leaton in Shropshire. The first element is uncertain, but may be Old English hlēo ‘shelter’ or (ge)lǣt ‘watercourse’ (modern English ‘leat’). The second element is Old English tūn ‘enclosure’, ‘settlement’.
Biblical
Hardness; soreness
Boy/Male
Arabic, Muslim
Security of Allah
Girl/Female
Arabic
Most Beautiful
Girl/Female
Arabic, Muslim
Sun of the Women
Boy/Male
Hindu
Shelter
Boy/Male
Indian, Punjabi, Sikh
Courage from Guru's Guidance
Boy/Male
Indian
Servant of the surrounded
PLANE WAVE
PLANE WAVE
PLANE WAVE
PLANE WAVE
PLANE WAVE
a.
Plane or flat on one side, and concave on the other; as, a plano-concave lens. See Lens.
a.
An ideal surface, conceived as coinciding with, or containing, some designated astronomical line, circle, or other curve; as, the plane of an orbit; the plane of the ecliptic, or of the equator.
a.
A block or plate having a perfectly flat surface, used as a standard of flatness; a surface plate.
imp. & p. p.
of Plane
v. t.
To lay down, as on a plank or table; to stake or pay cash; as, to plank money in a wager.
n.
A plan; an artifice; a swindle; a trick.
v. t.
To calender; as, to plate paper.
a.
To make smooth; to level; to pare off the inequalities of the surface of, as of a board or other piece of wood, by the use of a plane; as, to plane a plank.
n.
To assign a place to; to put in a particular spot or place, or in a certain relative position; to direct to a particular place; to fix; to settle; to locate; as, to place a book on a shelf; to place balls in tennis.
a.
A tool for smoothing boards or other surfaces of wood, for forming moldings, etc. It consists of a smooth-soled stock, usually of wood, from the under side or face of which projects slightly the steel cutting edge of a chisel, called the iron, which inclines backward, with an apperture in front for the escape of shavings; as, the jack plane; the smoothing plane; the molding plane, etc.
a.
Alt. of Plano-
a.
Plane or flat on one side, and convex on the other; as, a plano-convex lens. See Convex, and Lens.
a.
Without elevations or depressions; even; level; flat; lying in, or constituting, a plane; as, a plane surface.
a.
Combining forms signifying flat, level, plane; as planifolious, planimetry, plano-concave.
n.
To set firmly; to fix; to set and direct, or point; as, to plant cannon against a fort; to plant a standard in any place; to plant one's feet on solid ground; to plant one's fist in another's face.