From purely an interest in understanding anomalous uW propagation, here is a link to a very interesting, albeit somewhat technical, article.  It features some interesting concepts and formulas that could be applied to what we have seen over the Great Lakes or even some of the recent August/September over land tropo events.

https://journals.ametsoc.org/view/journals/bams/aop/BAMS-D-23-0113.1/BAMS-D-23-0113.1.xml?tab_body=pdf

73, Jon
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