Paraxial approximation

en

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Paraxial approximation

Quality:

Paraxial approximation - small angle approximation in geometric optics. Article "Paraxial approximation" in English Wikipedia has 22.1 points for quality (as of July 1, 2025). The article contains 6 references and 2 sections.

This article has the best quality in Chinese Wikipedia. However, this article is the most popular in English version.

Since the creation of article "Paraxial approximation", its content was written by 36 registered users of English Wikipedia and edited by 208 registered Wikipedia users in all languages.

The article is cited 56 times in English Wikipedia and cited 405 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #96809 in December 2010
  • Global: #57131 in September 2010

The highest popularity rank from 2008:

  • Local (English): #270071 in March 2009
  • Global: #199958 in November 2014

There are 21 language versions for this article in the WikiRank database (of the considered 55 Wikipedia language editions).

The quality and popularity assessment was based on Wikipédia dumps from July 1, 2025 (including revision history and pageviews for previous years).

The table below shows the language versions of the article with the highest quality.

Languages with the highest quality

#LanguageQuality gradeQuality score
1Chinese (zh)
近軸近似
27.8261
2Persian (fa)
تقریب پیرامحوری
25.1103
3French (fr)
Approximation de Gauss
22.9017
4Swedish (sv)
Paraxiell
22.5933
5Basque (eu)
Optika paraxial
22.2772
6English (en)
Paraxial approximation
22.1163
7Thai (th)
การประมาณแบบใกล้แกน
20.8211
8Arabic (ar)
تقريب محوراني
13.7811
9Portuguese (pt)
Aproximação paraxial
13.3267
10Japanese (ja)
近軸近似
12.7542
More...

The following table shows the most popular language versions of the article.

Most popular in all the time

The most popular language versions of the article "Paraxial approximation" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Paraxial approximation
484 951
2French (fr)
Approximation de Gauss
336 346
3German (de)
Paraxiale Optik
119 606
4Spanish (es)
Aproximación paraxial
90 830
5Russian (ru)
Параксиальное приближение
83 501
6Japanese (ja)
近軸近似
57 174
7Chinese (zh)
近軸近似
36 277
8Italian (it)
Approssimazione parassiale
31 746
9Dutch (nl)
Paraxiale benadering
16 743
10Hebrew (he)
הקירוב הפראקסיאלי
9 004
More...

The following table shows the language versions of the article with the highest popularity in the last month.

Most popular in June 2025

The most popular language versions of the article "Paraxial approximation" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Paraxial approximation
1 642
2French (fr)
Approximation de Gauss
562
3German (de)
Paraxiale Optik
271
4Japanese (ja)
近軸近似
146
5Chinese (zh)
近軸近似
133
6Spanish (es)
Aproximación paraxial
112
7Russian (ru)
Параксиальное приближение
105
8Italian (it)
Approssimazione parassiale
97
9Hungarian (hu)
Paraxiális közelítés
42
10Portuguese (pt)
Aproximação paraxial
34
More...

The following table shows the language versions of the article with the highest Authors’ Interest.

The highest AI

Language versions of the article "Paraxial approximation" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Paraxial approximation
36
2German (de)
Paraxiale Optik
27
3French (fr)
Approximation de Gauss
27
4Russian (ru)
Параксиальное приближение
24
5Italian (it)
Approssimazione parassiale
19
6Dutch (nl)
Paraxiale benadering
13
7Hungarian (hu)
Paraxiális közelítés
12
8Ukrainian (uk)
Параксіальна оптика
8
9Arabic (ar)
تقريب محوراني
7
10Hebrew (he)
הקירוב הפראקסיאלי
6
More...

The following table shows the language versions of the article with the highest Authors’ Interest in the last month.

The highest AI in June 2025

Language versions of the article "Paraxial approximation" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Arabic (ar)
تقريب محوراني
0
2Catalan (ca)
Aproximació paraxial
0
3German (de)
Paraxiale Optik
0
4English (en)
Paraxial approximation
0
5Spanish (es)
Aproximación paraxial
0
6Estonian (et)
Paraksiaalne lähendus
0
7Basque (eu)
Optika paraxial
0
8Persian (fa)
تقریب پیرامحوری
0
9French (fr)
Approximation de Gauss
0
10Hebrew (he)
הקירוב הפראקסיאלי
0
More...

The following table shows the language versions of the article with the highest number of citations.

The highest CI

Language versions of the article "Paraxial approximation" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1Dutch (nl)
Paraxiale benadering
121
2French (fr)
Approximation de Gauss
57
3English (en)
Paraxial approximation
56
4German (de)
Paraxiale Optik
29
5Spanish (es)
Aproximación paraxial
21
6Chinese (zh)
近軸近似
16
7Russian (ru)
Параксиальное приближение
14
8Ukrainian (uk)
Параксіальна оптика
13
9Catalan (ca)
Aproximació paraxial
12
10Japanese (ja)
近軸近似
12
More...

Scores

Estimated value for Wikipedia:
English:
Global:
Popularity in June 2025:
English:
Global:
Popularity in all years:
English:
Global:
Authors in June 2025:
English:
Global:
Registered authors in all years:
English:
Global:
Citations:
English:
Global:

Quality measures

Interwikis

#LanguageValue
arArabic
تقريب محوراني
caCatalan
Aproximació paraxial
deGerman
Paraxiale Optik
enEnglish
Paraxial approximation
esSpanish
Aproximación paraxial
etEstonian
Paraksiaalne lähendus
euBasque
Optika paraxial
faPersian
تقریب پیرامحوری
frFrench
Approximation de Gauss
heHebrew
הקירוב הפראקסיאלי
huHungarian
Paraxiális közelítés
itItalian
Approssimazione parassiale
jaJapanese
近軸近似
nlDutch
Paraxiale benadering
ptPortuguese
Aproximação paraxial
roRomanian
Aproximație Gauss
ruRussian
Параксиальное приближение
svSwedish
Paraxiell
thThai
การประมาณแบบใกล้แกน
ukUkrainian
Параксіальна оптика
zhChinese
近軸近似

Popularity rank trends

Best Rank English:
#270071
03.2009
Global:
#199958
11.2014

AI rank trends

Best Rank English:
#96809
12.2010
Global:
#57131
09.2010

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Paraxial approximation from Wikipedia articles about Optical aberration, Helmholtz equation, Thin lens, Stigmatism and Lens. Whereas reading the article about Paraxial approximation people most often go to Wikipedia articles on Gaussian optics, Ray, Stigmatism, Wikipedia article and Ray transfer matrix analysis.

Cumulative results of quality and popularity of the Wikipedia article

List of Wikipedia articles in different languages (starting with the most popular):

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About WikiRank

The WikiRank project is intended for automatic relative evaluation of the articles in the various language versions of Wikipedia. At the moment the service allows to compare over 44 million Wikipedia articles in 55 languages. Quality scores of articles are based on Wikipedia dumps from July, 2025. When calculating current popularity and AI of articles data from June 2025 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2025... More information