Newtonian Image Equation

Summary:

The Newtonian Image Equation, named after Isaac Newton, is an important equation in ray optics that describes image formation by a lens. The equation states that F2 = z * z1, where z represents the difference between the object distance and the focal length, and z1 represents the difference between the image distance and the focal length. By manipulating the equation, we can solve for the object distance and the image distance separately. The object distance can be calculated as the sum of the focal length and f2, divided by the image distance minus the focal length. Similarly, the image distance can be calculated as the sum of the focal length and f2, divided by the object distance minus the focal length.

The Newtonian Image Equation offers a convenient alternative to the lens equation. It simplifies the determination of the focus point and the distance by considering the differences in object distance, image distance, and focal length. This equation proves particularly useful when the precise determination of the principal focus is challenging. By utilizing the Newtonian Image Equation, one can accurately calculate the object distance and image distance, enhancing our understanding of image formation in lens systems.

Excerpt:

Newtonian Image Equation

Newtonian Image Equation

Image formation of a lens. The values z und z’ is marked red.

The Newtonian equation is an equation of ray optics named after the English physicist Isaac Newton.
It reads:
F
2=z.z
1
With z= object distance – focal length and
Z1 = image distance –focal length
It reads with and Solves for Object Distance we get:

Solved for Image Distance, we get:

Object distance = focal length +f2/image distance –focal length
Solved for image distance we get
Image distance =focal length +
f2/object distance –focal length

This Newtonian Image condition is frequently utilized rather than the lens equation “. Here z is the distinction between object distance and focal length, and z ‘ is the distance between image distance and central length.