Concave mirrorexamples

In order to select the correct focal length lens which is denoted in millimeters (i.e 25mm focal length), we need additional information on the camera sensor.  Camera sensors come in various "Image formats".  The chart below indicates some common formats which relate to the sensor size.  The sensor size can be found on the actual sensor datasheets if not available in a given chart.

Convexspherical mirror

Why is the following situation impossible? An illuminated object is placed a distance \(d=2.00 \mathrm{m}\) from a screen. By placing a converging lens of focal length \(f=60.0 \mathrm{cm}\) at two locations between the object and the screen, a sharp, real image of the object can be formed on the screen. In one location of the lens, the image is larger than the object, and in the other, the image is smaller.

Difference betweenconcaveand convexmirror

You will find our lens calculator HERE.  Alternatively as select a camera, you will find an icon to the right which will automatically populate the calculator.  Below is a short video showing how to use this resource from the camera pages.

(a) A concave spherical mirror forms an inverted image 4.00 times larger than the object. Assuming the distance between object and image is \(0.600 \mathrm{m}\), find the focal length of the mirror. (b) What If ? Suppose the mirror is convex. The distance between the image and the object is the same as in part (a), but the image is 0.500 the size of the object. Determine the focal length of the mirror.

The basic formula to calculate the lens focal length is as follows: FL = (Sensor size * WD) / FOVUsing the values from our application,

Convexmirror

Contact us to discuss your application and help make a recommendation!  1st Vision can provide a complete solution including lenses, cables and lighting.

Concave spherical mirrordiagram

In any industrial imaging application, we have the task of selecting several main components to solve the problem at hand.  The first being an industrial camera and second,  a lens to acquire the given image.  In many cases, our working distance of our lens is constrained and may have to mount the camera closer or further from the object plane.  Once set, this defines our working distance (WD) for the lens.  In addition, we have a given field of view (basically the dimension across the image) of the desired object.

A simple model of the human eye ignores its lens entirely. Most of what the eye does to light happens at the outer surface of the transparent cornea. Assume that this surface has a radius of curvature of \(6.00 \mathrm{mm}\) and that the eyeball contains just one fluid with a refractive index of \(1.40 .\) Prove that a very distant object will be imaged on the retina, \(21.0 \mathrm{mm}\) behind the cornea. Describe the image.

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Concave spherical mirrorvsconcave mirror

A person walks into a room that has two flat mirrors on opposite walls. The mirrors produce multiple images of the person. Consider only the images formed in the mirror on the left. When the person is 2.00 m from the mirror on the left wall and \(4.00 \mathrm{m}\) from the mirror on the right wall, find the distance from the person to the first three images seen in the mirror on the left wall.

Concave spherical mirrorImage

1st Vision has made calculating your lens focal length a bit easier!  As in engineering, its good to know the background formulas, but in practicality, like to simplify life with tools

Concave spherical mirrorequation

Lenses are only available off the shelf in various focal lengths (i.e 25mm, 35mm, 50mm), so this calculate is theoretical and may need an iteration to adjust working distance. Alternatively, if your application can have a slightly smaller or larger FOV, the closest focal length lens to your calculation may be suitable.

For this exercise, we want to image an object that is 400mm from the front of the lens to the object and desire a field of view of 90mm.  We have selected a camera with the Sony Pregius CMOS IMX174 sensor.  This uses a 1/1.2" format which measures 10.67mm x 8mm.

In a darkened room, a burning candle is placed 1.50 \(\mathrm{m}\) from a white wall. A lens is placed between the candle and the wall at a location that causes a larger, inverted image to form on the wall. When the lens is in this position, the object distance is \(p_{1} .\) When the lens is moved \(90.0 \mathrm{cm}\) toward the wall, another image of the candle is formed on the wall. From this information, we wish to find \(p_{1}\) and the focal length of the lens. (a) From the lens equation for the first position of the lens, write an equation relating the focal length \(f\) of the lens to the object distance \(p_{1},\) with no other variables in the equation. (b) From the lens equation for the second position of the lens, write another equation relating the focal length \(f\) of the lens to the object distance \(p_{1}\) (c) Solve the equations in parts (a) and (b) simultaneously to find \(p_{1}\). (d) Use the value in part (c) to find the focal length \(f\) of the lens.

A periscope (Fig. P26.3) is useful for viewing objects that cannot be seen directly. It can be used in submarines and when watching golf matches or parades from behind a crowd of people. Suppose the object is a distance \(p_{1}\) from the upper mirror and the centers of the two flat mirrors are separated by a distance \(h\). (a) What is the distance of the final image from the lower mirror? (b) Is the final image real or virtual? (c) Is it upright or inverted? (d) What is its magnification? (e) Does it appear to be left-right reversed?

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