- #1
qweeerty
- 2
- 0
Homework Statement
A thick-walled spherical shell made of transparent glass(n=1.50) has internal radius R and external radius 2R. The central cavity and region surrounding the shell are filled with
air (n=1.00). The center of symmetry of the object is located at the origin of an xy coordinate system. Paraxial light rays traveling parallel to the x-axis enter the sphere from the left as shown. These rays will refract four times before they passing entirely through the
spherical shell and emerge into the air beyond x = 2R. The final image is located at one of the two focal points of this complex optical system.
(a) Calculate the x-coordinates of the three intermediate image points and the final focal point, and identify each image as real or virtual. Note: the image due to each successive refraction acts as the object for the next refraction. You will find that the real image due to the first surface acts as a virtual object at the second surface, with negative object distance.
(b) Calculate the position of the focal point for parallel light entering from the left as before, but now with the interior region filled with glass (n=1.50) to make a homogenous solid glass sphere.
Homework Equations
na/s+nb/s'=nb-na/R
i/s+i/s'=i/f
m=-s'(na)/s(nb)
nasin[tex]\alpha[/tex]=nbsin[tex]\beta[/tex]
The Attempt at a Solution
To be honest, I don't even know where to start with this. I just don't understand how you're supposed to get an image distance if you don't know s. I'm not looking for an answer, I just want to know how to get started.