Code: Select all
H = (1/g - 1/z) / (g - 1/z)
= (1 - g/z) / (g² - g/z)
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(1 - g∙exp(-iφ)) / (g² - g∙exp(-iφ)) = -1
1 - g∙exp(-iφ) = -g² + g∙exp(-iφ)
g² + 1 = 2g∙exp(-iφ)
exp(-iφ) = (g² + 1) / 2g
-iφ = ln [(g² + 1) / 2g]
φ = i ln [(g² + 1) / 2g]
Code: Select all
(g² + 1) / 2g = exp(-i)