{"id":451,"date":"2013-08-20T15:02:08","date_gmt":"2013-08-20T22:02:08","guid":{"rendered":"https:\/\/chuckrino.com\/?p=451"},"modified":"2019-07-11T21:22:04","modified_gmt":"2019-07-12T04:22:04","slug":"phase-screen-models-for-numerical-computation","status":"publish","type":"post","link":"https:\/\/chuckrino.com\/?p=451","title":{"rendered":"Phase Screen Models for Numerical Computation"},"content":{"rendered":"<p>To the extent that propagation disturbances can be approximated by an equivalent phase-screen, there are analytic models that allow computation of the power-spectrum of the intensity of the field as it propagates away from the phase screen.&nbsp; The analysis involves an integration to characterize the structure initiation as a phase perturbation and a second integration to propagate the structure to the observation plane. &nbsp;&nbsp;In real-world applications the integrations are two dimensional. &nbsp;However, the field-aligned structure in the ionosphere can be exploited to reduce the computations to one-dimensional integrations.<\/p>\n<p>This motivated a revisit of early computations based on two-dimensional and one-dimensional phase screens.&nbsp; To test the numerical computations, which were performed by Charlie Carrano at the Boston College Institute for Scientific Research, analytic results for unconstrained inverse power-law spectra were used.&nbsp; Disparities between the computations and the analytic results motivated a careful look at the analytic results derived from complicated limiting operations.&nbsp; Some errors were found that clarified some long standing disparities between results by Victor Rumsey for isotropic structures and my own two-dimensional results, which should agree with the isotropic results if isotropy was assumed.&nbsp; The new results are summarized in <a href=\"https:\/\/chuckrino.com\/wp-content\/uploads\/2013\/08\/PowerLawPhaseScreenHighlights.pdf\">PowerLawPhaseScreenHighlights<\/a>, with computational details presented in a separate note. <a href=\"https:\/\/chuckrino.com\/wp-content\/uploads\/2013\/08\/PowerLawPhaseScreenReview.pdf\">PowerLawPhaseScreenReview<\/a>,<\/p>\n<p>An updated book errata sheet can be found <a href=\"https:\/\/chuckrino.com\/wp-content\/uploads\/2013\/08\/ScintTheoryErrata.pdf\">ScintTheoryErrata<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>To the extent that propagation disturbances can be approximated by an equivalent phase-screen, there are analytic models that allow computation of the power-spectrum of the intensity of the field as it propagates away from the phase screen.&nbsp; The analysis involves &hellip; <a href=\"https:\/\/chuckrino.com\/?p=451\">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":[13,14],"tags":[],"class_list":["post-451","post","type-post","status-publish","format-standard","hentry","category-propagation-models","category-scintillation-theory-book"],"_links":{"self":[{"href":"https:\/\/chuckrino.com\/index.php?rest_route=\/wp\/v2\/posts\/451","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=451"}],"version-history":[{"count":4,"href":"https:\/\/chuckrino.com\/index.php?rest_route=\/wp\/v2\/posts\/451\/revisions"}],"predecessor-version":[{"id":1053,"href":"https:\/\/chuckrino.com\/index.php?rest_route=\/wp\/v2\/posts\/451\/revisions\/1053"}],"wp:attachment":[{"href":"https:\/\/chuckrino.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=451"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/chuckrino.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=451"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/chuckrino.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=451"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}