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Meaning of "paraxial" in the English dictionary

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DICTIONARY
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PRONUNCIATION OF PARAXIAL

paraxial  [pæˈræksɪəl] play
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GRAMMATICAL CATEGORY OF PARAXIAL

noun
adjective
verb
adverb
pronoun
preposition
conjunction
determiner
exclamation
Paraxial is an adjective.
The adjective is the word that accompanies the noun to determine or qualify it.

WHAT DOES PARAXIAL MEAN IN ENGLISH?

Paraxial approximation

In geometric optics, the paraxial approximation is a small-angle approximation used in Gaussian optics and ray tracing of light through an optical system. A paraxial ray is a ray which makes a small angle to the optical axis of the system, and lies close to the axis throughout the system. Generally, this allows three important approximations for calculation of the ray's path: and The paraxial approximation is used in Gaussian optics and first-order raytracing. Ray transfer matrix analysis is one method that uses the approximation. In some cases, the second-order approximation is also called "paraxial". The approximations above for sine and tangent do not change for the "second-order" paraxial approximation, while for cosine the second order approximation is The second-order approximation is accurate within 0.5% for angles under about 10°, but its inaccuracy grows significantly for larger angles. For larger angles it is often necessary to distinguish between meridional rays, which lie in a plane containing the optical axis, and sagittal rays, which do not.

Definition of paraxial in the English dictionary

The definition of paraxial in the dictionary is parallel to the axis of an optical system.

WORDS THAT RHYME WITH PARAXIAL


abaxial
æbˈæksɪəl
adaxial
ædˈæksɪəl
affixial
əˈfɪksɪəl
anaxial
ænˈæksɪəl
asphyxial
æsˈfɪksɪəl
axial
ˈæksɪəl
biaxial
baɪˈæksɪəl
coaxial
kəʊˈæksɪəl
epaxial
ɪpˈæksɪəl
epitaxial
ˌɛpɪˈtæksɪəl
homotaxial
ˌhəʊməʊˈtæksɪəl
monaxial
mɒˈnæksɪəl
multiaxial
ˌmʌltɪˈæksɪəl
polyaxial
ˌpɒlɪˈæksɪəl
postaxial
pəʊstˈæksɪəl
preaxial
priːˈæksɪəl
pyrexial
paɪˈrɛksɪəl
subaxial
sʌbˈæksɪəl
triaxial
traɪˈæksɪəl
uniaxial
ˌjuːnɪˈæksɪəl

WORDS THAT BEGIN LIKE PARAXIAL

paratheses
parathesis
parathion
parathormone
parathyroid
parathyroid gland
parathyroid hormone
paratonic
paratroop
paratroopers
paratroops
paratyphoid
paratyphoid fever
paravail
paravane
paravant
parawing
parazoa
parazoan
parazoon

WORDS THAT END LIKE PARAXIAL

artificial
commercial
editorial
especial
essential
facial
financial
industrial
initial
material
memorial
official
potential
quincunxial
residential
serial
social
special
trial
tutorial

Synonyms and antonyms of paraxial in the English dictionary of synonyms

SYNONYMS

Translation of «paraxial» into 25 languages

TRANSLATOR
online translator

TRANSLATION OF PARAXIAL

Find out the translation of paraxial to 25 languages with our English multilingual translator.
The translations of paraxial from English to other languages presented in this section have been obtained through automatic statistical translation; where the essential translation unit is the word «paraxial» in English.

Translator English - Chinese

旁轴
1,325 millions of speakers

Translator English - Spanish

paraxial
570 millions of speakers

English

paraxial
510 millions of speakers

Translator English - Hindi

paraxial
380 millions of speakers
ar

Translator English - Arabic

مجاور للمحور
280 millions of speakers

Translator English - Russian

параксиальное
278 millions of speakers

Translator English - Portuguese

paraxial
270 millions of speakers

Translator English - Bengali

paraxial
260 millions of speakers

Translator English - French

paraxial
220 millions of speakers

Translator English - Malay

Paraxial
190 millions of speakers

Translator English - German

paraxialen
180 millions of speakers

Translator English - Japanese

近軸の
130 millions of speakers

Translator English - Korean

근축
85 millions of speakers

Translator English - Javanese

Paraxial
85 millions of speakers
vi

Translator English - Vietnamese

bên trục
80 millions of speakers

Translator English - Tamil

paraxial
75 millions of speakers

Translator English - Marathi

अर्धांगवायू
75 millions of speakers

Translator English - Turkish

paraxial
70 millions of speakers

Translator English - Italian

parassiale
65 millions of speakers

Translator English - Polish

osiowo-równolegle
50 millions of speakers

Translator English - Ukrainian

параксіальної
40 millions of speakers

Translator English - Romanian

paraxial
30 millions of speakers
el

Translator English - Greek

paraxial
15 millions of speakers
af

Translator English - Afrikaans

paraksiale
14 millions of speakers
sv

Translator English - Swedish

paraxiella
10 millions of speakers
no

Translator English - Norwegian

paraksiale
5 millions of speakers

Trends of use of paraxial

TRENDS

TENDENCIES OF USE OF THE TERM «PARAXIAL»

The term «paraxial» is regularly used and occupies the 101.365 position in our list of most widely used terms in the English dictionary.
0
100%
FREQUENCY
Regularly used
53
/100
The map shown above gives the frequency of use of the term «paraxial» in the different countries.
Principal search tendencies and common uses of paraxial
List of principal searches undertaken by users to access our English online dictionary and most widely used expressions with the word «paraxial».

FREQUENCY OF USE OF THE TERM «PARAXIAL» OVER TIME

The graph expresses the annual evolution of the frequency of use of the word «paraxial» during the past 500 years. Its implementation is based on analysing how often the term «paraxial» appears in digitalised printed sources in English between the year 1500 and the present day.

Examples of use in the English literature, quotes and news about paraxial

EXAMPLES

10 ENGLISH BOOKS RELATING TO «PARAXIAL»

Discover the use of paraxial in the following bibliographical selection. Books relating to paraxial and brief extracts from same to provide context of its use in English literature.
1
The Art and Science of Optical Design
n'u'y - nuy = —y(n' - ri)c n'u'x — nux = —x(n' — ri)c (2.16) for paraxial rays in the y or x direction. For a rotationally symmetric situation, these will be identical, and by tradition the y, z plane is used to describe the optical system. In the event that ...
Robert R. Shannon, 1997
2
Lens Design Fundamentals
Since infinitesimals have finite relative magnitudes, we may use any finite numbers to represent paraxial quantities, but we must remember to assume that each number is to be multiplied by a very small factor such as 10–50, so that a paraxial ...
Rudolf Kingslake, R. Barry Johnson, 2009
3
Optics
If we restrict ourselves to the paraxial region, then we can see that all rays cross the z-axis at the same point which is at a distance fp from the lens;^, represents the paraxial focal length of the lens. If one does not restrict to the paraxial region,  ...
Ajoy Chatak, 2009
4
Springer Handbook of Lasers and Optics
Definition of a Paraxial Ray In the paraxial theory only rays in the meridional plane, which is here defined as the x–z-plane, are regarded. Then, the y- component of the ray direction vector a and the y-component of the starting point p of the ray ...
Frank Träger, 2012
5
Fundamental Optical Design
Chapter 2 Paraxial Optics In this chapter, we will consider the properties of optical systems in the region close to the optical axis, usually known as the " paraxial region." The treatment of light in this paraxial region is referred to as " paraxial ...
Michael J. Kidger, 2002
6
Fundamentals of Practical Aberration Theory: Fundamental ...
As explained in the preceding section, the paraxial relation of an optical system is kept constant as long as we keep constant the power and the entrance conditions to the principal plane. This relation is independent of structural changes ...
Yoshiya Matsui, Kyōji Nariai, 1993
7
Structured Light and Its Applications: An Introduction to ...
OF. MONOCHROMATIC. PARAXIAL. BEAMS. A light field in a vacuum is commonly described by a complex field f(r,t), so that the electric field is given by E = f + f∗. From Maxwell's equations, it follows that f has a vanishing divergence and that ...
David L. Andrews, 2011
8
The Origin and Fate of Somites
studies have shown that the cells that give rise to the paraxial mesoderm are located in the lateral marginal zone of a 50% epiboly embryo just prior to the onset of gastrulation [14]. In fish, there is clear evidence that the cellular position during ...
Esmond J. Sanders, James W. Lash, Charles P. Ordahl, 2001
9
Lasers
_^k A very useful generalized form of paraxial optics has been developed in recent years. This generalized form can handle paraxial wave propagation not only in free space, and in simple lenses and ducts, but also in more general types of ...
A. E. Siegman, 1986
10
Optical Coherence Tomography: Principles and Applications
The paraxial wave equation will be derived here to point out approximations made, identifying limits to the approach. Specifically, Gaussian beams do not represent rigorous solutions of Maxwell's equations, but approximations that hold only if ...
Mark E. Brezinski, 2006

10 NEWS ITEMS WHICH INCLUDE THE TERM «PARAXIAL»

Find out what the national and international press are talking about and how the term paraxial is used in the context of the following news items.
1
Radiation monitoring of laser welding
... radiation detection, coaxial visual detection, paraxial sound, visual and temperature detection, plasma radiation, and charge detection [2, 3]. «Industrial Laser Solutions Magazine, Jul 15»
2
Seeing through chaos in multimode fibres
The simplest form of theoretical description (see the scalar and paraxial approach reviewed in Supplementary Methods 1) predicts the existence of linearly ... «Nature.com, Jul 15»
3
miR-487b, miR-3963 and miR-6412 delay myogenic differentiation …
Skeletal muscles are formed from somites, which are derived from paraxial mesoderm. Somites form initially as somitomeres, and after the ... «BMC Blogs Network, Apr 15»
4
Photon momentum transfer in inhomogeneous dielectric mixtures …
... exertion of negative force that offers an alternative to the use of negative-index materials, optical gain, or highly non-paraxial or multiple-light ... «Nature.com, Apr 15»
5
An Introduction to Off-Axis Conic Surfaces for Non-Axisymmetric …
where r = Paraxial radius of curvature of the parent conicoid and k = Conic constant. Equation set 3 can be used to create a second coordinate ... «Azom.com, Apr 15»
6
Alhazen's problem
In the usual paraxial optical formulation, the student uses the approximation that virtually every point from a point A that is further than a focal ... «OUPblog, Mar 15»
7
Perfect Paraxial Cloaking Device uses Lenses to Hide Objects
A new cloaking device that breaks through some of the limitations of previous devices, using inexpensive and widely available materials has ... «Tech Fragments, Nov 14»
8
Critical Mass of Stem Cells Sets Off Embryonic Development in the …
... end of gastrulation that, under the influence of Wnt and FGF signaling, expands and generates the spinal cord and the paraxial mesoderm.”. «Genetic Engineering & Biotechnology News, Nov 14»
9
Easy recipe to make bone and cartilage
... chondrocyte precursor cells e.g. paraxial mesoderm and sclerotome that are destined to form cartilage for the formation of backbone and disc ... «EurekAlert, Oct 14»
10
Invisibility is no longer a superpower thanks to a new cloaking device
Their multidirectional “perfect paraxial” cloak uses four lenses and it leaves the background that is visible to the viewer the same in color, ... «The Daily Titan, Oct 14»

REFERENCE
« EDUCALINGO. Paraxial [online]. Available <https://educalingo.com/en/dic-en/paraxial>. Apr 2024 ».
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