{"id":19,"date":"2022-01-06T18:04:13","date_gmt":"2022-01-06T18:04:13","guid":{"rendered":"https:\/\/live-optics-wp.pantheonsite.io\/opti503\/?page_id=19"},"modified":"2022-01-06T18:10:36","modified_gmt":"2022-01-06T18:10:36","slug":"syllabus","status":"publish","type":"page","link":"https:\/\/wp.optics.arizona.edu\/opti503\/syllabus\/","title":{"rendered":"Syllabus"},"content":{"rendered":"\n<ul class=\"wp-block-list\"><li>Elementary calculus, exponential and logarithmic functions, Taylor series expansion<\/li><li>Approximation methods<\/li><li>Complex number theory, complex integration and differentiation, simple functions in the complex domain<\/li><li>Special functions: Rectangular and triangular functions, delta-function and its derivatives, sinc function, etc.<\/li><li>The convolution operation<\/li><li>Linear, shift-invariant systems<\/li><li>Fourier transform theory, theorems, useful Fourier transform pairs<\/li><li>The method of stationary phase<\/li><li>Applications of Fourier theory to optical diffraction<\/li><li>Linear algebra, operations with matrices, matrix inversion<\/li><li>Eigen-values and eigen-vectors, matrix diagonalization<\/li><li>Vector algebra, vector identities<\/li><li>Divergence, curl, gradient, and Laplacian operators<\/li><li>Ordinary differential equations; elementary methods of solution<\/li><li>Partial differential equations, method of separation of variables<\/li><li>The diffusion equation<\/li><li>Maxwell\u2019s equations; the wave equation<\/li><li>Solutions of the wave equation in Cartesian, cylindrical, and spherical coordinate systems<\/li><li>Special functions: Bessel functions of the 1<sup>st<\/sup>, 2<sup>nd<\/sup>, and 3<sup>rd<\/sup> kind; modes of an optical fiber<\/li><li>Probability theory<\/li><li>Statistical properties of thermal noise, shot noise, and modal noise in fiber optics systems<\/li><li>Introduction to Information Theory and Coding<\/li><li>Communication via noisy channels; Shannon\u2019s noisy channel capacity<\/li><li>Compression codes, error-correction codes, modulation coding<\/li><\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Elementary calculus, exponential and logarithmic functions, Taylor series expansion Approximation methods Complex number theory, complex integration and differentiation, simple functions in the complex domain Special functions: Rectangular and triangular functions, delta-function and its derivatives, sinc function, etc. The convolution operation Linear, shift-invariant systems Fourier transform theory, theorems, useful Fourier transform pairs The method of stationary phase Applications of Fourier theory<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"categories":[],"tags":[],"class_list":["post-19","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/wp.optics.arizona.edu\/opti503\/wp-json\/wp\/v2\/pages\/19","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/wp.optics.arizona.edu\/opti503\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/wp.optics.arizona.edu\/opti503\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/wp.optics.arizona.edu\/opti503\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/wp.optics.arizona.edu\/opti503\/wp-json\/wp\/v2\/comments?post=19"}],"version-history":[{"count":3,"href":"https:\/\/wp.optics.arizona.edu\/opti503\/wp-json\/wp\/v2\/pages\/19\/revisions"}],"predecessor-version":[{"id":23,"href":"https:\/\/wp.optics.arizona.edu\/opti503\/wp-json\/wp\/v2\/pages\/19\/revisions\/23"}],"wp:attachment":[{"href":"https:\/\/wp.optics.arizona.edu\/opti503\/wp-json\/wp\/v2\/media?parent=19"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wp.optics.arizona.edu\/opti503\/wp-json\/wp\/v2\/categories?post=19"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wp.optics.arizona.edu\/opti503\/wp-json\/wp\/v2\/tags?post=19"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}