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Question about Polarization loss of RHC antenna

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Alan0354

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In page 17 and 18 of the article in the link:

http://www.antentop.org/009/files/tr009.pdf

There are two RHC antenna and the transmitting antenna is at the origin and the receiving antenna is in far field facing the origin. The link gave

\[\rho_w=\frac {\hat{\theta}\;-\;j \;\hat{\varphi}}{\sqrt{2}}\]

But the article said the receiving antenna has it's own coordinates \[ R_a\; \theta_a , \varphi_a\], and said the propagation direction from the transmitting antenna is in direction of \[-\hat{R}_a\] and

\[\rho_a=\frac {\hat{\theta}\;+\;j \;\hat{\varphi}}{\sqrt{2}}\]

1) Is the change from -ve to +ve sign in the \[j \;\hat{\varphi}\] due to the propagation direction of \[-\hat{R}_a\] referencing to the receiving antenna?
 

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