- #1
Identity
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(A laser monochromatic laser is shone in from the left, that's [tex]E_{in}[/tex].)
[PLAIN]http://img820.imageshack.us/img820/6184/beamsplitter.png
In the lecture notes, it says that:
[tex]E_{out1}=rE_2+tE_1[/tex], where [tex]E_1=-rE_{in}e^{i\phi}[/tex] and [tex]E_2=tE_{in}e^{i\phi}[/tex]
I don't really understand the signs ([tex]+/-[/tex]) here.
According to the Fresnel equations, light reflecting off a material with a higher refractive index will experience a 180 degree phase shift, hence the minus sign in the [tex]E_1[/tex] equation. But then why isn't there also a minus sign here: [tex]E_{out1}=(-)rE_2+tE_1[/tex], is [tex]E_2[/tex] not also reflecting off a material with higher refractive index?
Thanks
[PLAIN]http://img820.imageshack.us/img820/6184/beamsplitter.png
In the lecture notes, it says that:
[tex]E_{out1}=rE_2+tE_1[/tex], where [tex]E_1=-rE_{in}e^{i\phi}[/tex] and [tex]E_2=tE_{in}e^{i\phi}[/tex]
I don't really understand the signs ([tex]+/-[/tex]) here.
According to the Fresnel equations, light reflecting off a material with a higher refractive index will experience a 180 degree phase shift, hence the minus sign in the [tex]E_1[/tex] equation. But then why isn't there also a minus sign here: [tex]E_{out1}=(-)rE_2+tE_1[/tex], is [tex]E_2[/tex] not also reflecting off a material with higher refractive index?
Thanks
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