BeamSquared Distance
6.1.7
The typical thin lens equation is as follows:
1
𝑍
01
+
1
𝑍
02
=
1
𝑓
Where:
𝑍
01
The distance from the object to the lens
𝑍
02
The distance from the lens to the image
𝑓
The focal length of the lens
However, for a Gaussian-type beam the thin lens equation is as follows
2
:
1
𝑍
01
+
1
𝑍
02
+
𝑍
𝑅2
2
𝑀
4
(𝑍
02
− 𝑓)
=
1
𝑓
Where:
𝑍
01
The before-lens waist location
𝑍
02
The after-lens waist location
𝑀
4
The beam quality factor (M
2
) squared
𝑍
𝑅2
The after-lens beam Rayleigh length
The above equation can be used to aid in the determination of laser placement relative to the BeamSquared
lens. What follows are four example plots of after-lens waist location,
𝑍
02
, versus before-lens waist location,
𝑍
01
.
2
Sun H., “
Thin lens equation for a real laser beam with weak lens aperture truncation
”, Opt. Eng. 37(11), Nov. 1998,
2906-2913.
Summary of Contents for BeamSquared
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Page 15: ...BeamSquared Optical Train Dimensions 1 4 ...
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