File:Wave opposite-group-phase-velocity.gif

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Wave_opposite-group-phase-velocity.gif(250 × 154 pixels, file size: 354 KB, MIME type: image/gif, looped, 50 frames, 4.0 s)

Summary

Animated Plot of a wave with phase and group velocities in opposite directions.

<img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4ac22e6ca75a83b3e0e5f294591e6ee5bb29cf04" class="mwe-math-fallback-image-inline mw-math-element" aria-hidden="true" style="vertical-align: -2.005ex; width:53.655ex; height:5.343ex;" alt="{\displaystyle y(x,t)=({\frac {5}{8}}-{\frac {3}{8}}\cdot \cos(2\pi (x-t)))\cdot \cos(2\pi (10x+4t))}">

Licensing

Lua error in package.lua at line 80: module 'strict' not found.

File history

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Date/TimeThumbnailDimensionsUserComment
current15:23, 14 January 2017Thumbnail for version as of 15:23, 14 January 2017250 × 154 (354 KB)127.0.0.1 (talk)Animated Plot of a wave with phase and group velocities in opposite directions. <dl><dd><span><span class="mwe-math-mathml-inline mwe-math-mathml-a11y mw-math-element" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow class="MJX-TeXAtom-ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>y</mi><mo stretchy="false">(</mo><mi>x</mi><mo>,</mo><mi>t</mi><mo stretchy="false">)</mo><mo>=</mo><mo stretchy="false">(</mo><mrow class="MJX-TeXAtom-ORD"><mfrac><mn>5</mn><mn>8</mn></mfrac></mrow><mo>−<!-- − --></mo><mrow class="MJX-TeXAtom-ORD"><mfrac><mn>3</mn><mn>8</mn></mfrac></mrow><mo>⋅<!-- ⋅ --></mo><mi>cos</mi><mo>⁡<!-- ⁡ --></mo><mo stretchy="false">(</mo><mn>2</mn><mi>π<!-- π --></mi><mo stretchy="false">(</mo><mi>x</mi><mo>−<!-- − --></mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">)</mo><mo stretchy="false">)</mo><mo>⋅<!-- ⋅ --></mo><mi>cos</mi><mo>⁡<!-- ⁡ --></mo><mo stretchy="false">(</mo><mn>2</mn><mi>π<!-- π --></mi><mo stretchy="false">(</mo><mn>10</mn><mi>x</mi><mo>+</mo><mn>4</mn><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">)</mo></mstyle></mrow><annotation encoding="application/x-tex">{\displaystyle y(x,t)=({\frac {5}{8}}-{\frac {3}{8}}\cdot \cos(2\pi (x-t)))\cdot \cos(2\pi (10x+4t))}</annotation></semantics></math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4ac22e6ca75a83b3e0e5f294591e6ee5bb29cf04" class="mwe-math-fallback-image-inline mw-math-element" aria-hidden="true" style="vertical-align: -2.005ex; width:53.655ex; height:5.343ex;" alt="{\displaystyle y(x,t)=({\frac {5}{8}}-{\frac {3}{8}}\cdot \cos(2\pi (x-t)))\cdot \cos(2\pi (10x+4t))}"></span></dd></dl>
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