{"id":69,"date":"2010-09-13T20:39:21","date_gmt":"2010-09-14T03:39:21","guid":{"rendered":"https:\/\/chuckrino.com\/?p=69"},"modified":"2019-07-11T21:53:04","modified_gmt":"2019-07-12T04:53:04","slug":"whats-the-book-about","status":"publish","type":"post","link":"https:\/\/chuckrino.com\/?p=69","title":{"rendered":"What&#8217;s the Book About"},"content":{"rendered":"<p>The theory of scintillation is about electromagnetic wave propagation in structured media. &nbsp;But why does a phenomenon that has been studied for nearly a century now merit a <em>new<\/em> theoretical expose?&nbsp; One part of the answer is that the essential elements of the standard theory are too easily comprehended.<br \/>\n<a href=\"https:\/\/chuckrino.com\/?p=36\">https:\/\/chuckrino.com\/?p=36<\/a><br \/>\nConsider the random lens model mentioned in my earlier post.&nbsp; That conceptual picture is not far removed from the standard textbook development of the theory,&nbsp; for example the development of imaging through turbulence in Chapter 8 of <em>Statistical Optics<\/em> by Joseph Goodman.&nbsp; The theory provides an explicit representation of wavefront phase, which is very appealing for optical system analyses.&nbsp; Nonetheless, any theory that builds on a mathematical separation of amplitude and phase cannot be reconciled with the recognized theoretical developments that have evolved over the past 30 years because they address complex field moments.&nbsp; Conversely, that comprehensive theory (summarized in Chapter 3 of my book) provides very little utility for solving practical problems.<a href=\"https:\/\/chuckrino.com\/wp-content\/uploads\/2010\/09\/L6E67000.bmp\"><img decoding=\"async\" class=\"aligncenter size-full wp-image-70\" title=\"L6E67000\" src=\"https:\/\/chuckrino.com\/wp-content\/uploads\/2010\/09\/L6E67000.bmp\" alt=\"\"><\/a><\/p>\n<p>The resolution of the dilemma and the compelling reason for revisiting scintillation theory comes from the computer revolution.&nbsp; Although the idea is not new, the complete theory of wave propagation in structured media is encapsulated in a comparatively simple first-order differential equation.&nbsp; The equation admits robust integration using a well-known algorithm that is easily implemented and executed with inexpensive personal computers.&nbsp; The development is facilitated by interactive languages such as MATLAB.&nbsp; Thus, simulations based on very high fidelity models bridge the gap between theoretical results that are either over-simplified or unwieldy. &nbsp;&nbsp;With such simulations one can also explore the combined effects of path-loss, wavefront curvature, and antenna effects.<\/p>\n<p>An example from Chapter 2 of my book&nbsp;(shown in the Figure above) simulates beam propagation along a layer with increasing inward radial refractivity.&nbsp; As the beam expands, refraction redirects the energy toward the axis where a local focus functions like a local source.&nbsp;<\/p>\n<p>A second example, which has already been introduced, is strong focusing.&nbsp; The image shows fine intensity detail that admits no meaningful continuous phase reconstruction.&nbsp; Yet, back propagation can be used to fully reconstruct the disturbance at the edge of the disturbed region.&nbsp;<\/p>\n<p><a href=\"https:\/\/chuckrino.com\/wp-content\/uploads\/2010\/09\/L7FEMR081.bmp\"><img decoding=\"async\" class=\"aligncenter size-full wp-image-79\" title=\"L7FEMR08\" src=\"https:\/\/chuckrino.com\/wp-content\/uploads\/2010\/09\/L7FEMR081.bmp\" alt=\"\"><\/a><\/p>\n<p>A third example shows the same type of simulation for propagation through highly anisotropic media at oblique incidence.&nbsp; The overlaid white line and arrow show the apparent scan direction induced by source motion.&nbsp; The final figure shows the intensity and reconstructed phase along the scan direction, which is what a Beacon&nbsp;&nbsp;satellite receiver would observe, ideally.&nbsp;<\/p>\n<p><a href=\"https:\/\/chuckrino.com\/wp-content\/uploads\/2010\/09\/L82RNN00.bmp\"><img decoding=\"async\" class=\"aligncenter size-full wp-image-73\" title=\"L82RNN00\" src=\"https:\/\/chuckrino.com\/wp-content\/uploads\/2010\/09\/L82RNN00.bmp\" alt=\"\"><\/a><\/p>\n<p><a href=\"https:\/\/chuckrino.com\/wp-content\/uploads\/2010\/09\/L82SEG01.bmp\"><img decoding=\"async\" class=\"aligncenter size-full wp-image-74\" title=\"L82SEG01\" src=\"https:\/\/chuckrino.com\/wp-content\/uploads\/2010\/09\/L82SEG01.bmp\" alt=\"\"><\/a><\/p>\n<p>A directory of MATLAB codes with scripts that will reproduce all the examples in the book and more will be available for download on the MATLAB Central website.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The theory of scintillation is about electromagnetic wave propagation in structured media. &nbsp;But why does a phenomenon that has been studied for nearly a century now merit a new theoretical expose?&nbsp; One part of the answer is that the essential &hellip; <a href=\"https:\/\/chuckrino.com\/?p=69\">Continue reading <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[5,6],"class_list":["post-69","post","type-post","status-publish","format-standard","hentry","category-general-interest","tag-scintillation","tag-strong-focusing"],"_links":{"self":[{"href":"https:\/\/chuckrino.com\/index.php?rest_route=\/wp\/v2\/posts\/69","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/chuckrino.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/chuckrino.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/chuckrino.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/chuckrino.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=69"}],"version-history":[{"count":40,"href":"https:\/\/chuckrino.com\/index.php?rest_route=\/wp\/v2\/posts\/69\/revisions"}],"predecessor-version":[{"id":828,"href":"https:\/\/chuckrino.com\/index.php?rest_route=\/wp\/v2\/posts\/69\/revisions\/828"}],"wp:attachment":[{"href":"https:\/\/chuckrino.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=69"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/chuckrino.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=69"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/chuckrino.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=69"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}