- #1
yungman
- 5,742
- 290
Attached is a scanned of the page in question. This is regarding to Perpendicularly polarized plane wave. in equation (9.47a) at the lower left corner it is the distance ##x_i## to the origin.
[tex]x_i=x\sin\theta_i+z\cos\theta_i\;\hbox {(9.47a)}[/tex]
That is not a distance. distance of ##|\vec x_i|=\sqrt{x^2 \sin^2\theta_i+z^2\cos^2\theta_i}##, not ##x_i=x\sin\theta_i+z\cos\theta_i##.
Actually ##\hat x_i=\hat x\sin\theta_i+\hat z\cos\theta_i\;\hbox { and }\vec x_i=\hat x|x_i|\sin\theta_i+\hat z|x_i|\cos\theta_i##
Am I missing something because it's Memorial Day this weekend?! Did I read the book wrong?
[tex]x_i=x\sin\theta_i+z\cos\theta_i\;\hbox {(9.47a)}[/tex]
That is not a distance. distance of ##|\vec x_i|=\sqrt{x^2 \sin^2\theta_i+z^2\cos^2\theta_i}##, not ##x_i=x\sin\theta_i+z\cos\theta_i##.
Actually ##\hat x_i=\hat x\sin\theta_i+\hat z\cos\theta_i\;\hbox { and }\vec x_i=\hat x|x_i|\sin\theta_i+\hat z|x_i|\cos\theta_i##
Am I missing something because it's Memorial Day this weekend?! Did I read the book wrong?
Attachments
Last edited: