Optical properties of the cylindrical mirror

1. An introduction to the cylindrical mirror

The cylindrical mirror belongs to the non-spherical lens, which can effectively reduce the spherical difference and color difference by design. The cylindrical mirror is divided into flat convex cylindrical lens, flat concave cylindrical lens, double convex cylindrical lens, double concave cylindrical lens, meniscus cylindrical lens, column cross cylindrical mirror and special shape cylindrical lens. With a one-dimensional amplification function.

 

Display of cylindrical mirror products:

 

 

2. The imaging principle of a cylindrical mirror

Because the special shape of the cylindrical mirror leads to the dislocation of light reflection, the figure on the plane will deform. The deformed flat image was projected onto the cylindrical mirror, which was deformed again. When the light is reflected through the cylindrical mirror, it will focus to the focus or disperse from the virtual focus. When the parallel beam enters, the light will be focused into a straight line by the cylindrical mirror. When non-parallel beams are incident, the imaging results vary depending to the incident angle.

 

Cylinder mirror light path display diagram:

Single convex:

 

 

 

biconvex:

 

 

3. Column mirror gap analysis and comparison:

Take a product designed by a customer as an example, using a gap 0.3mm, 0.2mm, 0.1mm, 0.005mm, 0.002mm as an analysis.

 

1、The lens gap is 0.3mm: when the light is illuminated, the gap is large, the uniformity of the light spot is poor, and a bright focus will appear in the center.

 

 

2、The lens gap is 0.2mm: when the light is illuminated, the gap is narrowed 1.5 times, the uniformity of light spot is improved, and the central focus and linear light spot are more obvious.

 

 

3. The lens gap is 0.1mm: when the light is illuminated on the gap, the gap is narrowed by 3 times, the uniformity of the light spot is further improved, the linear light spot is significant, and the central focus begins to weaken.

 

 

4. The lens gap is 0.005mm: when the light is illuminated, the gap is narrowed 60 times, the uniformity of the spot tends to be better, the central focus still exists, but the impact on the spot of light is small.

 

 

5、the lens gap is 0.002mm: when the light is illuminated, the gap is narrowed 150 times, the gap close to the ideal state is 0, the light spot uniformity is good, the middle focus is basically disappeared, negligible.

 

 

4. Column mirror imaging formula:

When the cylindrical mirror acts as the laser line generator, we can calculate the focal length by using the radius formula of the input beam:

2/d=effective focal length⋅tan( 2(θ))

 

 

 

 

(The divergence angle can be calculated by the required line length (x) and the working distance (L):

θ=2⋅tan^-1  X/2L

 

 

 

(The working distance can be calculated by the divergence angle (θ):

X=2⋅L⋅tan( 2/θ)

 

5. Use of a cylindrical

Cylindrical mirrors are widely used in high-precision tester and high-power lasers, long-distance line interferometer, linear detector illumination, barcode scanning, holographic illumination, optical information processing, computer and so on. Optical cylindrical mirrors are also widely used in strong laser systems and synchrotron radiation beam lines.