- #1
test1234
- 13
- 2
Hi there, I've been trying to solve this problem regarding relay imaging so that I can modify my experimental setup accordingly. Please refer to the attached jpg file for the lens setup.
I am trying to image the object (the purple block in the attached jpg file) at a specific imaging plane 370mm after the final lens in my setup. The constraints in my setup include, the object has to be exactly at the focal point between the two f=200mm lenses and I only have a limited distance between the second f=200mm and f=306.8mm lenses to play with.
I tried applying the thin lens equation ([itex]\frac{1}{s_0}+\frac{1}{s_i}=\frac{1}{f}[/itex]) twice as follows:
Starting from the object,
[itex]
s_0=200mm \\
f=200mm \\
s_i=∞ \\
[/itex]
Since it is expected that the first intermediate image would be at infinity, I worked with slightly off values of [itex] s_0=199mm[/itex] and [itex]201mm[/itex] instead.
Hence, leading to
[itex]
s_i= -39800mm[/itex] or [itex]+40200mm\\
[/itex]
Then the image of the first lens become the object of the second lens (f=306.8mm).
Again I applied the thin lens equation with
[itex]s_0 = (1100+39800)mm [/itex] or [itex](1100-40200)mm\\[/itex]
[itex]= 40900mm[/itex] or [itex]-39100mm \\ [/itex]
[itex]
s_i= 309.12mm[/itex] or [itex]304.41mm\\
[/itex]
Hence, this current setup doesn't give me my intended imaging plane at 370mm. I was wondering if anyone could give some ideas regarding what I can do get the image at 370mm without adjusting the object distance from the f=200mm lens?
I tried making the distance between the second f=200mm and f=306.8mm a variable and set the final image distance to 370mm, but it resulted in a huge value of around 40m!
Would really appreciate if anyone could help please. Thanks!
I am trying to image the object (the purple block in the attached jpg file) at a specific imaging plane 370mm after the final lens in my setup. The constraints in my setup include, the object has to be exactly at the focal point between the two f=200mm lenses and I only have a limited distance between the second f=200mm and f=306.8mm lenses to play with.
I tried applying the thin lens equation ([itex]\frac{1}{s_0}+\frac{1}{s_i}=\frac{1}{f}[/itex]) twice as follows:
Starting from the object,
[itex]
s_0=200mm \\
f=200mm \\
s_i=∞ \\
[/itex]
Since it is expected that the first intermediate image would be at infinity, I worked with slightly off values of [itex] s_0=199mm[/itex] and [itex]201mm[/itex] instead.
Hence, leading to
[itex]
s_i= -39800mm[/itex] or [itex]+40200mm\\
[/itex]
Then the image of the first lens become the object of the second lens (f=306.8mm).
Again I applied the thin lens equation with
[itex]s_0 = (1100+39800)mm [/itex] or [itex](1100-40200)mm\\[/itex]
[itex]= 40900mm[/itex] or [itex]-39100mm \\ [/itex]
[itex]
s_i= 309.12mm[/itex] or [itex]304.41mm\\
[/itex]
Hence, this current setup doesn't give me my intended imaging plane at 370mm. I was wondering if anyone could give some ideas regarding what I can do get the image at 370mm without adjusting the object distance from the f=200mm lens?
I tried making the distance between the second f=200mm and f=306.8mm a variable and set the final image distance to 370mm, but it resulted in a huge value of around 40m!
Would really appreciate if anyone could help please. Thanks!