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log spiral and archimedean spiral design

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bacurrie45

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Hi there I am new to the site and in need of some advice. I am designing a log spiral antenna and a Archimedean spiral antenna. My upper frequency is 1GHz and my lower frequency is 300MHz. I have looked at the design equations of the log spiral or equiangular spiral but I am really confused as to what Ø should be in the first equation i.e what does it start at. A lot of books and websites keep talking about polar coordiantes. Can someone please explain what phi is In the first equation ?

r1 = RoeaØ

r2 = Roea (Ø-δ)

r3 = Roea (Ø-π)

r4 = Roea (Ø-π-δ)
 
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