Reflectance and Transmittance of Light in Water-Glass Interface

AI Thread Summary
The discussion focuses on calculating the reflectance and transmittance of light at the water-glass interface, specifically for randomly polarized light incident at 53 degrees. The refractive index of glass is given as 1.5, and the participant is attempting to determine the percentage of p-polarized light reflected and the total incident power transmitted. They suggest that randomly polarized light consists of 50% p-polarized and 50% s-polarized components and consider using Brewster's angle to aid in their calculations. The participant is unsure about deriving the necessary values for reflectance and transmittance, indicating a need for clarity on applying Fresnel equations. The discussion highlights the complexities of optical physics at material interfaces.
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Homework Statement



There's a block of glass and it has a refractive index n = 1.5 and it is put in water.
Randomly polarized light is incident from the water towards the glass at an angle of 53 degrees to the normal.

a) what % p-polarized (part) of the em wave (light) is reflected off the glass? and the % of total incident power of the light is transmitted in the block?




Homework Equations



so my solution I guess is

The Attempt at a Solution



R% (reflectance) = Pr^2/Pi
Hence then if you find Pr , using Pr equation, and Pi but I don't know... how to find those
do I have to derive them?
 
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Okay, so I don't know how to proceed on this problem

I figure the randomly polarized light has 50% p-polarized and 50% s-polarized so I guess I would figure out the Brewster's Angle.

using

\tan(\Theta_{B})=\frac{n_{2}}{n_{1}}

which gives approximately 49 degrees

do I then use a Fresnel Equation? and then some how find the amount of p-polarized? and that happens to be out of 50 which then is out of 100%?
 
Last edited:
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
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