{"id":1802,"date":"2018-03-30T23:54:38","date_gmt":"2018-03-30T23:54:38","guid":{"rendered":"https:\/\/live-optics-wp.pantheonsite.io\/jcwyant\/?page_id=1802"},"modified":"2024-04-19T17:27:34","modified_gmt":"2024-04-19T17:27:34","slug":"webmathematica","status":"publish","type":"page","link":"https:\/\/wp.optics.arizona.edu\/jcwyant\/mathematica\/webmathematica\/","title":{"rendered":"Using webMathematica to solve optics problems"},"content":{"rendered":"

Mathematica<\/a><\/em> can be used to solve most math problems.\u00a0 webMathematica<\/a><\/em> makes it possible to run Mathematica<\/em> models over the Internet, even if you do not have Mathematica<\/em> on your computer.\u00a0On this web site I am illustrating a few examples of what can be done using webMathematica<\/i> to solve optics problems.<\/p>\n

The weblinks below are currently under construction. In the meantime, please refer to the Wolfram Alpha Site for examples.<\/a><\/h3>\n
\n
\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
ZERNIKE POLYNOMIALS<\/strong><\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0\u00a0 Interferograms, Wavefront Maps, and Profiles<\/a><\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0\u00a0 PSF and MTF<\/a><\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0\u00a0 Zernike Stereo Wallpaper<\/a><\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0\u00a0 Converting Zernike Polynomials to Seidel Aberrations<\/a><\/td>\n<\/tr>\n
\u00a0 \u00a0Shearing<\/strong><\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0Lateral Shear Interferograms and Wavefront Difference Maps<\/a><\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0Radial Shear Interferograms and Wavefront Difference Maps<\/a><\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0Reverse Shear Interferograms and Wavefront Difference Maps<\/a><\/td>\n<\/tr>\n
\u00a0 \u00a0 \u00a0\u00a0 \u00a0Rotational Shear Interferograms and Wavefront Difference Maps<\/a><\/td>\n<\/tr>\n
<\/td>\n<\/tr>\n
SEIDEL ABERRATIONS<\/strong><\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0\u00a0 Interferograms, Wavefront Maps, and Profiles<\/a><\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0\u00a0 OPD Profile Plots<\/a><\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0\u00a0 Transverse Ray Fan Plots<\/a><\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0\u00a0 PSF and MTF<\/a><\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0\u00a0 Foucault Knife Edge Patterns<\/a><\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0\u00a0 Wire Test Patterns<\/a><\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0\u00a0 Shack-Hartmann Patterns<\/a><\/td>\n<\/tr>\n
\u00a0 \u00a0Shearing<\/strong><\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0Lateral Shear Interferograms and Wavefront Maps<\/a><\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0Radial Shear Interferograms and Wavefront Maps<\/a><\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0Reverse Shear Interferograms and Wavefront Maps<\/a><\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0Rotational Shear Interferograms and Wavefront Maps<\/a><\/td>\n<\/tr>\n
<\/td>\n<\/tr>\n
FRAUNHOFER DIFFRACTION<\/strong><\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0\u00a0 Multiple Slits<\/a><\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0\u00a0 Circular Aperture<\/a><\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0\u00a0 Rectangular Aperture<\/a><\/td>\n<\/tr>\n
<\/td>\n<\/tr>\n
FRESNEL DIFFRACTION<\/strong><\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0\u00a0 Circular Aperture<\/a><\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0\u00a0 Rectangular Aperture<\/a><\/td>\n<\/tr>\n
<\/td>\n<\/tr>\n
MISCELLANEOUS<\/strong><\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0\u00a0 Multiple Beam Interference<\/a><\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0\u00a0 Polarization Examples<\/a><\/td>\n<\/tr>\n
\u00a0\u00a0\u00a0\u00a0 Thin Films<\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n

Link<\/a> to additional graphics generated using Mathematica<\/i>.<\/p>\n

Link to my main web site.<\/a><\/p>\n

\n","protected":false},"excerpt":{"rendered":"

Mathematica can be used to solve most math problems.\u00a0 webMathematica makes it possible to run Mathematica models over the Internet, even if you do not have Mathematica on your computer.\u00a0On this web site I am illustrating a few examples of what can be done using webMathematica to solve optics problems. The weblinks below are currently under construction. In the meantime,<\/p>\n","protected":false},"author":22,"featured_media":0,"parent":29,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-1802","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/wp.optics.arizona.edu\/jcwyant\/wp-json\/wp\/v2\/pages\/1802","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/wp.optics.arizona.edu\/jcwyant\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/wp.optics.arizona.edu\/jcwyant\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/wp.optics.arizona.edu\/jcwyant\/wp-json\/wp\/v2\/users\/22"}],"replies":[{"embeddable":true,"href":"https:\/\/wp.optics.arizona.edu\/jcwyant\/wp-json\/wp\/v2\/comments?post=1802"}],"version-history":[{"count":17,"href":"https:\/\/wp.optics.arizona.edu\/jcwyant\/wp-json\/wp\/v2\/pages\/1802\/revisions"}],"predecessor-version":[{"id":1944,"href":"https:\/\/wp.optics.arizona.edu\/jcwyant\/wp-json\/wp\/v2\/pages\/1802\/revisions\/1944"}],"up":[{"embeddable":true,"href":"https:\/\/wp.optics.arizona.edu\/jcwyant\/wp-json\/wp\/v2\/pages\/29"}],"wp:attachment":[{"href":"https:\/\/wp.optics.arizona.edu\/jcwyant\/wp-json\/wp\/v2\/media?parent=1802"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}