(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A cylinder with the length 20cm and radius of 5cm is filled with liquid. The refractive index of the cylinder, its surrounding and the liquid is 1.3. A polarization wave is given in the fluid:

E=Eo*exp( i *(ωt-kz)) [itex]\hat{x}[/itex] +c.c.

The wave is induced by light with a frequency different from ω as a result of a non linear process. The light sorce (freq' ω) is only as result of the polarization wave.

The cylinder is oriented in the Z direction, and the wave is E=0 from outside it

State the light intensity (I) at freq' ω on the surface of the cylinder.

Draw a graph of I(z,r=D/2) ,I(z=0,r) ,I(Z=L,r) and I(z,r=0)

2. Relevant equations

Wave equation, Vector poynting, Polarization

3. The attempt at a solution

I figured out from the wave equation that the polarization is linear.

As a result of the poynting vector i reached a conclusion that

I=ε[itex]_{0}[/itex] * c * |E|[itex]^{2}[/itex] *cos[itex]^{2}[/itex] (ωt-kz) [itex]\hat{z}[/itex] . (Im not entirely sure about my conclusion)

I dont understand 2 things:

First, how is I dependant of z,r when the wave is dependant of z,t ?

Second, what is the meaning of a wave induced by light with a frequency different from ω as a result of a non linear process?

*Note: English isn't my mother tongue so forgive me for any mistakes.

Thank you for your help

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# Homework Help: Optics:Polarization in liquid

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