Difference between revisions of "Build array"
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in the wavenumber domain <math>(k_x, k_y)</math> by computing: | in the wavenumber domain <math>(k_x, k_y)</math> by computing: | ||
| − | <math>AR(\vec{k}-\vec{k}_0) = \sum_{i=1}^{N} \exp(-j\vec{r}_i(\vec{k}-\vec{k}_0))</math> | + | <math>AR(\vec{k}-\vec{k}_0) = |
| + | \| \frac{1}{N} \sum_{i=1}^{N} \exp(-j\vec{r}_i(\vec{k}-\vec{k}_0)) \|</math> | ||
though the computation of the array reponse function is simple in principle, | though the computation of the array reponse function is simple in principle, | ||
Revision as of 17:16, 30 October 2008
Visualization of Array Reponse
build_array ia a graphical interface for simple visualization of the array response function for a specific array geometry. The array reponse function is computed on a regular cartesian grid in the wavenumber domain Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle (k_x, k_y)} by computing:
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle AR(\vec{k}-\vec{k}_0) = \| \frac{1}{N} \sum_{i=1}^{N} \exp(-j\vec{r}_i(\vec{k}-\vec{k}_0)) \|}
though the computation of the array reponse function is simple in principle, there exists the particular problem of being computationally efficient on one hand, i.e. small number of grid points, and not to miss small details of the peaked surface on the other hand, i.e. sufficiently high wavenumber resolution Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle (\delta k_x, \delta k_y)} .
