Electromagnetic radiation pressure

AI Thread Summary
The discussion revolves around the confusion regarding the formula for radiation pressure, specifically the discrepancy between the expected pressure expression involving cos²(θ) and the derived expression involving cos(θ). Participants clarify that the change in momentum for a reflected ray leads to the factor of cos²(θ) due to the nature of light reflection. Additionally, the topic of polarization is explored, with clarification that the polarization direction refers to the orientation of the electric field vector, while unpolarized light consists of waves oscillating in multiple random directions. The concept of unpolarized light is explained as having incoherent and random oscillation directions, despite the presence of a defined wave direction. Overall, the dialogue emphasizes the complexities of understanding radiation pressure and polarization in light.
Small bugs
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I am confused with the fact of radiation pressure on Wiki and my homework solution. They are both arguing that the pressure produced by a ray of light to be reflected with incident angle θ and intensity I is:
$$\frac{2I\cos^2(\theta)}{c}$$
My thinking
We know that:
$$Ft=\Delta p$$
We see the situation where the ray is reflected:
Sail-Force1.gif

The change of momentum is
$$2\cos\theta\frac{h}{\lambda}$$
And also with other equalities then we get (also I got)
\frac{2I\cos(\theta)}{c}
Rather that cos2... Why?
The second question is about polarisation. Does polarisation direction mean the direction from the peak and perpendicular to the axis so it is just the direction of the E-or H-field?? What is unpolarized light? But as long as the sinusoid wave is spreading and oscillating, then it must have a direction of oscillation, so how can we say it is UNpolarized?
 
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In addition to the smaller momentum change, your intensity gets reduced by another cosine factor.
Small bugs said:
Does polarisation direction mean the direction from the peak and perpendicular to the axis so it is just the direction of the E-or H-field?
The E-field.
Small bugs said:
What is unpolarized light? But as long as the sinusoid wave is spreading and oscillating, then it must have a direction of oscillation, so how can we say it is UNpolarized?
The direction can change incoherently and randomly.
 
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