Open main menu
Home
Random
Recent changes
Special pages
Community portal
Preferences
About Wikipedia
Disclaimers
Incubator escapee wiki
Search
User menu
Talk
Dark mode
Contributions
Create account
Log in
Editing
Lambert W function
(section)
Warning:
You are not logged in. Your IP address will be publicly visible if you make any edits. If you
log in
or
create an account
, your edits will be attributed to your username, along with other benefits.
Anti-spam check. Do
not
fill this in!
=== Electromagnetic surface wave propagation === The transcendental equation that appears in the determination of the propagation wave number of an electromagnetic axially symmetric surface wave (a low-attenuation single TM01 mode) propagating in a cylindrical metallic wire gives rise to an equation like {{math|1=''u'' ln ''u'' = ''v''}} (where {{mvar|u}} and {{mvar|v}} clump together the geometrical and physical factors of the problem), which is solved by the Lambert {{mvar|W}} function. The first solution to this problem, due to Sommerfeld ''circa'' 1898, already contained an iterative method to determine the value of the Lambert {{mvar|W}} function.<ref>{{cite journal | first = J. R. G. | last = Mendonça | year = 2019 | title = Electromagnetic surface wave propagation in a metallic wire and the Lambert {{mvar|W}} function | journal = American Journal of Physics | volume = 87 | issue = 6 | pages = 476–484 | arxiv = 1812.07456 | doi = 10.1119/1.5100943| bibcode = 2019AmJPh..87..476M | s2cid = 119661071 }}</ref>
Edit summary
(Briefly describe your changes)
By publishing changes, you agree to the
Terms of Use
, and you irrevocably agree to release your contribution under the
CC BY-SA 4.0 License
and the
GFDL
. You agree that a hyperlink or URL is sufficient attribution under the Creative Commons license.
Cancel
Editing help
(opens in new window)