Plane-wave expansion

en

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Plane-wave expansion

Quality:

Plane wave expansion - expressing a plane wave as a combination of spherical waves. Article “Plane-wave expansion” in English Wikipedia has 6.7 points for quality (as of July 1, 2026). The article contains 0 references and 4 sections.

In this language version of Wikipedia the article has the best quality. Also, this article is the most popular in that (English) language version.

Since the creation of article “Plane-wave expansion”, its content was written by 16 registered users of English Wikipedia and edited by 20 registered Wikipedia users in all languages.

The article is cited 12 times in English Wikipedia and cited 14 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #270648 in August 2019
  • Global: #697999 in March 2019

The highest popularity rank from 2008:

  • Local (English): #574356 in November 2021
  • Global: #994611 in November 2020

There are 3 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, 2026 (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
1English (en)
Plane-wave expansion
6.7311
2Hebrew (he)
פיתוח ריילי
5.7975
3Turkish (tr)
Düzlem dalga açılımı
5.3447
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 "Plane-wave expansion" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Plane-wave expansion
190 191
2Turkish (tr)
Düzlem dalga açılımı
1 543
3Hebrew (he)
פיתוח ריילי
203
More...

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

Most popular in June 2026

The most popular language versions of the article "Plane-wave expansion" in June 2026
#LanguagePopularity awardRelative popularity
1English (en)
Plane-wave expansion
721
2Turkish (tr)
Düzlem dalga açılımı
13
3Hebrew (he)
פיתוח ריילי
8
More...

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

The highest AI

Language versions of the article "Plane-wave expansion" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Plane-wave expansion
16
2Turkish (tr)
Düzlem dalga açılımı
3
3Hebrew (he)
פיתוח ריילי
1
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 2026

Language versions of the article "Plane-wave expansion" with the highest AI in June 2026
#LanguageAI awardRelative AI
1English (en)
Plane-wave expansion
0
2Hebrew (he)
פיתוח ריילי
0
3Turkish (tr)
Düzlem dalga açılımı
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 "Plane-wave expansion" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Plane-wave expansion
12
2Hebrew (he)
פיתוח ריילי
1
3Turkish (tr)
Düzlem dalga açılımı
1
More...

Scores

Estimated value for Wikipedia:
English:
Global:
Popularity in June 2026:
English:
Global:
Popularity in all years:
English:
Global:
Authors in June 2026:
English:
Global:
Registered authors in all years:
English:
Global:
Citations:
English:
Global:

Quality measures

Interwikis

#LanguageValue
enEnglish
Plane-wave expansion
heHebrew
פיתוח ריילי
trTurkish
Düzlem dalga açılımı

Popularity rank trends

Best Rank English:
#574356
11.2021
Global:
#994611
11.2020

AI rank trends

Best Rank English:
#270648
08.2019
Global:
#697999
03.2019

Languages comparison

Important global interconnections (July 2025 – June 2026)

Wikipedia readers most often find their way to information on Plane wave expansion from Wikipedia articles about Plane wave, Jacobi–Anger expansion, Wave vector, Weyl expansion and Partial wave analysis. Whereas reading the article about Plane wave expansion people most often go to Wikipedia articles on Spherical harmonic, Bessel function, Plane wave expansion method, Weyl expansion and Legendre polynomial.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 1 July 2026

On 1 July 2026 in multilingual Wikipedia, Internet users most often read articles on the following topics: 2026 FIFA World Cup, Kylian Mbappé, Erling Haaland, Democratic Republic of the Congo, FIFA World Cup, Harry Kane, Romelu Lukaku, Senegal, Michael Olise, Sadio Mané.

In English Wikipedia the most popular articles on that day were: 2026 FIFA World Cup, Harry Kane, Julián Quiñones, List of FIFA World Cup top goalscorers, Kylian Mbappé, Democratic Republic of the Congo, Erling Haaland, DR Congo national football team, Melat Kiros, FIFA World Cup.

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 50 million Wikipedia articles in 55 languages. Quality scores of articles are based on Wikipedia dumps from July, 2026. When calculating current popularity and AI of articles data from June 2026 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2026... More information