File:Light wave harmonic diagram.svg

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Original file (SVG file, nominally 426 × 331 pixels, file size: 172 KB)

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Description
English: The harmonics of lightwaves drawn to scale, showing how the different waves interact with each other. The λ/2 (1/2 wavelength) harmonics are perfectly in sync with each other, but all other colors in the visual spectrum fall between λ and λ/2. Wavelengths that are separated by λ/4 are opposites, falling across from each other on the color wheel. (ie: Red is opposite of green, orange is opposite of blue, and yellow is opposite of violet.) Image was generated using Tikz and the resulting PDF was converted to SVG.
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Author Rubber Duck ()
SVG development
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This vector image was created with LaTeX.
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\documentclass[12pt,border=1pt,tikz,class=scrartcl]{standalone}
\usepackage[latin1]{inputenc}
\usepackage{xcolor}
\usepackage{pgfplots}
\pagestyle{empty}
\begin{document}
\noindent
\begin{tikzpicture}[
label1/.style = {text width=5em,font=\tiny,align=left}
]
\node [font=\bfseries,text centered] at (4,-.5) {Light Harmonics};
\node [label1] at (-1,-1)   {650nm -- Red};
\node [label1] at (-1,-1.5) {607nm -- Orange};
\node [label1] at (-1,-2)   {578nm -- Yellow};
\node [label1] at (-1,-2.5) {520nm -- Green};
\node [label1] at (-1,-3)   {487nm -- Blue};
\node [label1] at (-1,-3.5) {475nm -- Indigo};
\node [label1] at (-1,-4)   {405nm -- Violet};
\node [label1] at (-1,-4.5) {325nm -- UV};
\begin{scope}[domain=0:10,samples=300]
	\draw [red] 	plot (\x,{-1+	sin(\x*500)r/400});
	\draw [orange] 	plot (\x,{-1.5+	sin(\x*535.42)r/400});
	\draw [yellow] 	plot (\x,{-2+	sin(\x*562.285)r/400});
	\draw [green] 	plot (\x,{-2.5+	sin(\x*625)r/400});
	\draw [blue] 	plot (\x,{-3+	sin(\x*667.35)r/400});
	\draw [color={rgb:red,75;green,0;blue,130}] 	plot (\x,{-3.5+	sin(\x*684.2)r/400});
	\draw [violet] 	plot (\x,{-4+	sin(\x*802.47)r/400});
	\draw [violet!60!black] 	plot (\x,{-4.5+	sin(\x*1000)r/400});
\end{scope}
\draw [black] (-1,-4.75) -- ++(10,0);
\node [text centered,font=\small] at (4,-5.1) {Harmonics of red light in relation to other colors};
\node [label1] at (-.5,-5.5)	{$\lambda$/14 --};
\node [label1] at (-.5,-6) 	{$\lambda$/8 --};
\node [label1] at (-.5,-6.5) 	{$\lambda$/4 --};
\node [label1] at (-.5,-7) 	{$\lambda$/3 --};
\node [label1] at (-.5,-7.5) 	{$\lambda$/2.67 --};
\node [label1] at (-.5,-8) 	{$\lambda$/2.5 --};
\node [label1] at (-.5,-8.5) 	{$\lambda$/2 --};
\begin{scope}[domain=0:10,samples=300]
	\draw[red]	plot (\x, {-5.5+	sin(\x*500)r/400});
	\draw[orange]	plot (\x, {-5.5+	sin(\x*535.42)r/400});
	\draw[red]	plot (\x, {-6+		sin(\x*500)r/400});
	\draw[yellow]	plot (\x, {-6+		sin(\x*562.285)r/400});
	\draw[red]	plot (\x, {-6.5+	sin(\x*500)r/400});
	\draw[green]	plot (\x, {-6.5+	sin(\x*625)r/400});
	\draw[red]	plot (\x, {-7+		sin(\x*500)r/400});
	\draw[blue]	plot (\x, {-7+		sin(\x*667.35)r/400});
	\draw[red]	plot (\x, {-7.5+	sin(\x*500)r/400});
	\draw [color={rgb:red,75;green,0;blue,130}] 	plot (\x,{-7.5+	sin(\x*684.2)r/400});
	\draw[red]	plot (\x, {-8+		sin(\x*500)r/400});
	\draw [violet] 	plot (\x, {-8+		sin(\x*802.47)r/400});
	\draw[red]	plot (\x, {-8.5+	sin(\x*500)r/400});
	\draw [violet!60!black] 	plot (\x,{-8.5+	sin(\x*1000)r/400});
\end{scope}
\draw [black] (-1,-8.75) -- ++(10,0);
\node [text centered,font=\small] at (4,-9.1) {White light (all colors interfering with each other)};
\begin{scope}[domain=0:10,samples=300]
	\draw [red] 	plot (\x,{-9.5+	sin(\x*500)r/400});
	\draw [orange] 	plot (\x,{-9.5+	sin(\x*535.42)r/400});
	\draw [yellow] 	plot (\x,{-9.5+	sin(\x*562.285)r/400});
	\draw [green] 	plot (\x,{-9.5+	sin(\x*625)r/400});
	\draw [blue] 	plot (\x,{-9.5+	sin(\x*667.35)r/400});
	\draw [color={rgb:red,75;green,0;blue,130}] 	plot (\x,{-9.5+	sin(\x*684.2)r/400});
	\draw [violet] 	plot (\x,{-9.5+	sin(\x*802.47)r/400});
	\draw [violet!60!black] 	plot (\x,{-9.5+	sin(\x*1000)r/400});
\end{scope}
\end{tikzpicture}
\end{document}

Licensing

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I, the copyright holder of this work, hereby publish it under the following licenses:
w:en:Creative Commons
attribution share alike
This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license.
You are free:
  • to share – to copy, distribute and transmit the work
  • to remix – to adapt the work
Under the following conditions:
  • attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
  • share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
GNU head Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License.
You may select the license of your choice.

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Date/TimeThumbnailDimensionsUserComment
current15:28, 19 September 2017Thumbnail for version as of 15:28, 19 September 2017426 × 331 (172 KB)Krishnavedala (talk | contribs)recreated file with editable text using "latex" and "dvisvgm"
15:43, 22 April 2015Thumbnail for version as of 15:43, 22 April 2015427 × 331 (147 KB)Krishnavedala (talk | contribs)better rendering using "dvisvgm". unicode characters replaced by hand
19:40, 6 April 2015Thumbnail for version as of 19:40, 6 April 2015434 × 338 (295 KB)Krishnavedala (talk | contribs){{Information |Description ={{en|1=The harmonics of lightwaves drawn to scale, showing how the different waves interact with each other. The λ/2 (1/2 wavelength) harmonics are perfectly in sync with each other, but all other colors in the visual sp...

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