Intensity Imbalance of Atoms Trapped in Laser Beam

[stunner5000pt]

Homework Statement

An atom trapping laser beam is incident on the trapping chamber as shown in the figure. Assume the lambda/4 plates and the miror are anti reflection coated. if the windows of the trapping chamber are uncoated, what is the intensit imbalance between incident and retro reflected beams? Note taht the atom trap will hold more atoms if there is no intensity imbalance

Homework Equations

The fraction between reflected power for an incident wave of power Io from a medium with index of refraction n1 onto a medium of index of refraction n2 and the power of the reflected wave is

$$\frac{I_{1}}{I_{0}}= \left(\frac{1 - \frac{n_{2}}{n_{1}}}{1 + \frac{n_{2}}{n_{1}}}\right)^2$$

The Attempt at a Solution

we know the quarter wave plate rotates the beam by 45 degrees

the beam entring the atom trapping chamber from the right will be rotated 90 degrees iwth respect to the beam entering the chamber from the left. but the question says htat the mirror is anti reflection coated.. so there would be no in beam entering from the right??

what are the retro reflected beams though??

 

[Jhero]

I would like to clarify a few things before attempting to solve this problem. Firstly, can you provide a figure or diagram of the setup you are describing? This will help me better understand the scenario and provide a more accurate solution. Additionally, can you clarify what you mean by "intensity imbalance" and how it relates to the number of atoms held in the trap? This will help me better understand the goal of the problem and provide a more relevant solution. Thank you.