{"id":1395,"date":"2023-09-04T08:13:25","date_gmt":"2023-09-04T08:13:25","guid":{"rendered":"https:\/\/www.shalomeo.com\/blog\/?p=1395"},"modified":"2023-09-04T08:13:25","modified_gmt":"2023-09-04T08:13:25","slug":"the-mathematical-description-of-aspheric-lens","status":"publish","type":"post","link":"https:\/\/www.shalomeo.com\/blog\/the-mathematical-description-of-aspheric-lens\/1395.html","title":{"rendered":"The Mathematical Description of Aspheric Lens"},"content":{"rendered":"\n<p>An aspheric lens is a lens with a non-spherical surface but a radius of curvature that varies radially from the center of the lens.&nbsp;<\/p>\n\n\n\n<p>One common mathematical representation of <strong><a href=\"https:\/\/www.shalomeo.com\/Spherical-Lenses-Aspheric-Lenses-shalomeo.html\" target=\"_blank\" rel=\"noreferrer noopener\">aspheric lenses<\/a><\/strong> is the conic section, which is defined by the equation:<\/p>\n\n\n\n<p>z = Ax^2 + Bxy + Cy^2 + Dx + Ey + F<\/p>\n\n\n\n<p>where x, y, and z are the coordinates of a point on the lens surface and A, B, C, D, E, and F are the coefficients that determine the shape of the surface. By adjusting the values of the coefficients, the lens surface can be designed to correct for specific aberrations.<\/p>\n\n\n\n<p>Another mathematical representation of aspheric lenses is the aspheric polynomial, which is defined by the equation:<\/p>\n\n\n\n<p>z = C(1 + k) * (r^2\/R^2) + Ar^4 + Br^6 + Cr^8 + &#8230;<\/p>\n\n\n\n<p>where z is the height of the surface above the optical axis, r is the radial distance from the optical axis, R is the radius of curvature of the surface, C is the conic constant, k is the conic coefficient, and A, B, and C are the polynomial coefficients. The polynomial coefficients can be adjusted to correct for specific aberrations.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>An aspheric lens is a lens with a non-spherical su &hellip;<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"","sticky":false,"template":"","format":"standard","meta":[],"categories":[2],"tags":[284],"_links":{"self":[{"href":"https:\/\/www.shalomeo.com\/blog\/wp-json\/wp\/v2\/posts\/1395"}],"collection":[{"href":"https:\/\/www.shalomeo.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.shalomeo.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.shalomeo.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.shalomeo.com\/blog\/wp-json\/wp\/v2\/comments?post=1395"}],"version-history":[{"count":1,"href":"https:\/\/www.shalomeo.com\/blog\/wp-json\/wp\/v2\/posts\/1395\/revisions"}],"predecessor-version":[{"id":1396,"href":"https:\/\/www.shalomeo.com\/blog\/wp-json\/wp\/v2\/posts\/1395\/revisions\/1396"}],"wp:attachment":[{"href":"https:\/\/www.shalomeo.com\/blog\/wp-json\/wp\/v2\/media?parent=1395"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.shalomeo.com\/blog\/wp-json\/wp\/v2\/categories?post=1395"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.shalomeo.com\/blog\/wp-json\/wp\/v2\/tags?post=1395"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}