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Display information for equation id:math.1438.284 on revision:1438
* Page found: Elektromagnetische Wellen (eq math.1438.284)
(force rerendering)Occurrences on the following pages:
Hash: 652ca7fbe3647a9d7e983dbb63f35a97
TeX (original user input):
O(xo,yo)\approx \tilde{\ }\frac{{{e}^{ikz}}}{z}\int\limits_{-\infty }^{\infty }{\int\limits_{-\infty }^{\infty }{A(x1,y1)}}\bullet {{e}^{\frac{i\pi }{\lambda z}\left[ (xo-x1){}^\text{2}+(yo-y1){}^\text{2} \right]}}dx1dy1
TeX (checked):
O(xo,yo)\approx {\tilde {\ }}{\frac {{e}^{ikz}}{z}}\int \limits _{-\infty }^{\infty }{\int \limits _{-\infty }^{\infty }{A(x1,y1)}}\bullet {{e}^{{\frac {i\pi }{\lambda z}}\left[(xo-x1){}^{\text{2}}+(yo-y1){}^{\text{2}}\right]}}dx1dy1
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MathML (2.353 KB / 498 B) :
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>O</mi><mo stretchy="false">(</mo><mi>x</mi><mi>o</mi><mo>,</mo><mi>y</mi><mi>o</mi><mo stretchy="false">)</mo><mo>≈</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mspace width="0.5em"/><mo>~</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>k</mi><mi>z</mi></mrow></mrow></msup></mrow><mrow data-mjx-texclass="ORD"><mi>z</mi></mrow></mfrac></mrow><munderover><mo form="prefix" texclass="OP">∫</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo>−</mo><mi mathvariant="normal">∞</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">∞</mi></mrow></munderover><mrow data-mjx-texclass="ORD"><munderover><mo form="prefix" texclass="OP">∫</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo>−</mo><mi mathvariant="normal">∞</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">∞</mi></mrow></munderover><mrow data-mjx-texclass="ORD"><mi>A</mi><mo stretchy="false">(</mo><mi>x</mi><mn>1</mn><mo>,</mo><mi>y</mi><mn>1</mn><mo stretchy="false">)</mo></mrow></mrow><mo>∙</mo><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>π</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>λ</mi><mi>z</mi></mrow></mrow></mfrac></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">[</mo><mo stretchy="false">(</mo><mi>x</mi><mi>o</mi><mo>−</mo><mi>x</mi><mn>1</mn><mo stretchy="false">)</mo><msup><mi/><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>2</mtext></mrow></mrow></msup><mo>+</mo><mo stretchy="false">(</mo><mi>y</mi><mi>o</mi><mo>−</mo><mi>y</mi><mn>1</mn><mo stretchy="false">)</mo><msup><mi/><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>2</mtext></mrow></mrow></msup><mo data-mjx-texclass="CLOSE">]</mo></mrow></mrow></mrow></msup><mi>d</mi><mi>x</mi><mn>1</mn><mi>d</mi><mi>y</mi><mn>1</mn></mstyle></mrow></math>
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