File:Bremsstrahlung power2.svg
Summary
Power spectral density of bremsstrahlung emission due to electron-ion collisions in a plasma <a class="external autonumber" href="http://en.wikipedia.org/wiki/Bremsstrahlung">[1]</a>. As described on that page, the power is evaluated in the quantum limit ( <img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/7e2da4a84232f5c4df17b6fecdb8c614c07b3f21" class="mwe-math-fallback-image-inline mw-math-element" aria-hidden="true" style="vertical-align: -0.671ex; width:12.439ex; height:3.009ex;" alt="{\displaystyle T_{e}>Z^{2}27.2}"> eV). The solid blue curve is the full formula involving the exponential integral, while the dashed red curve is the approximate logarithmic form for <img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a3cc38507e5c593fa39de725fe965a54a549d4e2" class="mwe-math-fallback-image-inline mw-math-element" aria-hidden="true" style="vertical-align: -0.671ex; width:8.771ex; height:2.509ex;" alt="{\displaystyle \hbar \omega \ll T_{e}}">. We take <img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c510f1f34eeae9a40187050466a90f3129ad49fc" class="mwe-math-fallback-image-inline mw-math-element" aria-hidden="true" style="vertical-align: -1.005ex; width:13.498ex; height:3.009ex;" alt="{\displaystyle \hbar \omega _{p}/T_{e}=0.1}">.
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 23:16, 13 January 2017 | | 731 × 551 (52 KB) | 127.0.0.1 (talk) | Power spectral density of bremsstrahlung emission due to electron-ion collisions in a plasma <a class="external autonumber" href="http://en.wikipedia.org/wiki/Bremsstrahlung">[1]</a>. As described on that page, the power is evaluated in the quantum limit (<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"><msub><mi>T</mi><mrow class="MJX-TeXAtom-ORD"><mi>e</mi></mrow></msub><mo>></mo><msup><mi>Z</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mn>27.2</mn></mstyle></mrow><annotation encoding="application/x-tex">{\displaystyle T_{e}>Z^{2}27.2}</annotation></semantics></math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/7e2da4a84232f5c4df17b6fecdb8c614c07b3f21" class="mwe-math-fallback-image-inline mw-math-element" aria-hidden="true" style="vertical-align: -0.671ex; width:12.439ex; height:3.009ex;" alt="{\displaystyle T_{e}>Z^{2}27.2}"></span> eV). The solid blue curve is the full formula involving the exponential integral, while the dashed red curve is the approximate logarithmic form for <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 class="MJX-variant">ℏ<!-- ℏ --></mi><mi>ω<!-- ω --></mi><mo>≪<!-- ≪ --></mo><msub><mi>T</mi><mrow class="MJX-TeXAtom-ORD"><mi>e</mi></mrow></msub></mstyle></mrow><annotation encoding="application/x-tex">{\displaystyle \hbar \omega \ll T_{e}}</annotation></semantics></math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a3cc38507e5c593fa39de725fe965a54a549d4e2" class="mwe-math-fallback-image-inline mw-math-element" aria-hidden="true" style="vertical-align: -0.671ex; width:8.771ex; height:2.509ex;" alt="{\displaystyle \hbar \omega \ll T_{e}}"></span>. We take <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 class="MJX-variant">ℏ<!-- ℏ --></mi><msub><mi>ω<!-- ω --></mi><mrow class="MJX-TeXAtom-ORD"><mi>p</mi></mrow></msub><mrow class="MJX-TeXAtom-ORD"><mo>/</mo></mrow><msub><mi>T</mi><mrow class="MJX-TeXAtom-ORD"><mi>e</mi></mrow></msub><mo>=</mo><mn>0.1</mn></mstyle></mrow><annotation encoding="application/x-tex">{\displaystyle \hbar \omega _{p}/T_{e}=0.1}</annotation></semantics></math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c510f1f34eeae9a40187050466a90f3129ad49fc" class="mwe-math-fallback-image-inline mw-math-element" aria-hidden="true" style="vertical-align: -1.005ex; width:13.498ex; height:3.009ex;" alt="{\displaystyle \hbar \omega _{p}/T_{e}=0.1}"></span>. |
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