diff options
Diffstat (limited to 'doc/mtx_spherical_harmonics-help.pd')
| -rw-r--r-- | doc/mtx_spherical_harmonics-help.pd | 29 |
1 files changed, 29 insertions, 0 deletions
diff --git a/doc/mtx_spherical_harmonics-help.pd b/doc/mtx_spherical_harmonics-help.pd new file mode 100644 index 0000000..597ef7b --- /dev/null +++ b/doc/mtx_spherical_harmonics-help.pd @@ -0,0 +1,29 @@ +#N canvas 61 39 921 503 10; +#X msg 96 97 matrix 2 1 0 0; +#X obj 206 132 mtx_rand; +#X msg 209 110 2 10; +#X obj 96 197 mtx_print; +#X text 537 377 Franz Zotter \, 2009; +#X text 150 226 for -n<=m<=n:; +#X text 188 258 Y_n^m(phi \, theta) = N_n^m * sin(m*phi) * P_n^m(cos(theta)) +; +#X text 188 242 Y_n^m(phi \, theta) = N_n^m * cos(m*phi) * P_n^m(cos(theta)) +; +#X text 641 241 for m>=0; +#X text 640 257 for m< 0; +#X text 147 291 The order of the harmonics in the output columns is +specified by the linear index k=n^2+n+m+1.; +#X text 95 54 [mtx_spherical_harmonics] spherical harmonics evaluated +at a set of points given in phi and theta coordinates.; +#X text 146 328 [mtx_spherical_harmonics] uses fully normalized Y_n^m +with Condon-Shortley phase; +#X text 305 160 for an L points 2xL input matrix \, [mtx_spherical_harmonics] +evaluates the (nmax+2)^2 spherical harmonics at L points and delivers +an Lx(nmax+2)^2 output matrix.; +#X text 309 118 [mtx_spherical_harmonics] requires a numerical creation +argument <nmax> specifyiing the maximum order 0<=n<=nmax.; +#X obj 96 157 mtx_spherical_harmonics 2; +#X connect 0 0 15 0; +#X connect 1 0 15 0; +#X connect 2 0 1 0; +#X connect 15 0 3 0; |