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Lens equation
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Lensesin series
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It is the distance from the image plane to the rear principal plane. You can find the location of this plane by projecting the image ray backwards through the system to where it crosses the projection of the object ray. This is sometimes also referred to as the effective focal length ($v$) of the system, and is true for both simple as well as complicated systems. The distance from the rear lens to the image plane is simply the back focal distance ($v’’$). The difference between $v’’$ and $v$ can be found by the formula:
LensesPhysics
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Thick lens
Lens combination calculator
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Lens system
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LensesMCAT
I have found the formula for the effective focal length $f$ of two thin lenses with focal lengths $f_1$ and $f_2$ separated by distance $d$ to be $$ \frac 1f=\frac 1{f_1}+\frac 1{f_2}-\frac d{f_1f_2}. $$ However, I can't seem to find how $f$ is defined. Is it the distance from the first lens to the final focal point or the distance from the second lens to the final focal point? Or neither?
Observe, that h and h' form similar triangles post replacement whose base extends from the optics centre of their respective lens to the point where the image is formed.
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Combination oflensesexamples
So, let's say the light ray intersects the equivalent lens at h when replaced, and the right lens(f'') at h' when not replaced (for the left lens also, the height is obviously h).
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