Lens system Definition and 23 Threads

Using the Lens Formula: The lens formula ##1f=1f1+1f2−df1f2\frac{1}{f} = \frac{1}{f_1} + \frac{1}{f_2} - \frac{d}{f_1 f_2}f1=f11+f21−f1f2d## is applicable for finding the effective focal length of the compound lens system. Here, ##f1=f2=15f_1 = f_2 = 15f1=f2=15 cm## (focal lengths of each...

Hello, I'm trying to build a helmet-mounted display. Basically a HUD that is contained fully within a helmet. I am not experienced with optics though and can only sift through what the internet has to offer. I don't want it to be a "put your phone down next to an angled piece of polycarbonate"...

I have a collimated beam from a laser diode d= 10 mm and want to narrow it down to 1 mm. I suppose to use a lense to focus it and then use a lense to collimate it with d=1mm but this lense must have focus distance of 1 mm?? Are there such lenses? Or I must do it in other way?

Light from the sample is collimated light. For imaging, does the spectrometer requires a lens to focus the collimated light on the entrance slits of the detector. Using the beam splitter, the collimated light from the sample is directed toward the spectrometer. Previously, we used a lens to...

Hello everyone, I don't know which laserdiode and lens system should I choose for my Project. It is all about AFM Microscopy with a cantilever ( Length= 450 um, width = 50 um and thickness= 2um). So as you see it is not a small cantilever. As far as I Know, the larger the cantilever is, a larger...

Hi everyone, for a lab I need to determine the position of the cardinal points of a telephoto lens. The focal points were determined experimentally, and the focal length given on the lens is 200mm. The principal points should be determined with f=PF. In all the textbooks, the principal points...

First image is an object for the concave lens so won't +ve direction change from right to left?! In that case, object distance will be -ve (from concave lens towards right side). Any ideas? Solution in the book takes first image's distance to be +ve. See attached ray diagram for clarification...

Homework Statement:: Finding the distance between the back surface of the first lens and the front surface of the back lens. Homework Equations:: 1/f = 1/s_o + 1/s_i I have two positive thin lenses that are separated by a distance of 5 cm. The focal lengths of the lenses are F_1 = 10 cm and...

Homework Statement An object is 25.0 cm to the left of a lens with a focal length of + 15 .0 cm. A second lens of focal length +15.0 cm is 30.0 cm to the right of the first lens. Find the location of the final image and draw it out. Homework Equations 1/f = 1/di + 1/do The Attempt at a...

Homework Statement This isn't really a homework, but I am trying to figure out how this would work. I have an plano-convex lens with an focal length of 500 mm. I have an laser source that I like to focus on, to the infinity. I.e. I like to see the laser lobe. Case: What happens to image of...

So we have the focal lengths: f1, f2, ..., f7 = 25mm And the distance between the lenses: d1-2, d2-3, ..., d6-7 = 50mm I have figured out that if the system would be afocal if it had an even number of these lenses. This is because the focal length of two adjacent lenses is the same as the...

Hello, I would like to reduce the beam size of a laser by a factor of 10, with the purpose of replacing a long (750 mm) lens with a more compact design. Ideally I'd make a Galilean lens pair where the ratio of the focal lengths are 10:1 to produce a small collimated beam. However, I think I...

Hi everyone, I am working on a project on my final project in Product design. The project is about translating digital concept into the analogue world. In my project I am especially interested in the digital “Windows” and am trying to apply the functions and possibilities of digital on to...

Homework Statement Compute the following parameters of the final image formed by the lens system shown in the figure below a) position b) size c) nature (Real, Virtual, Upright, Inverted, Etc.) Homework EquationsThe Attempt at a Solution i am kind of lost at where to begin...

Homework Statement Image: http://i.imgur.com/NMS7BUK.jpg?1 a) Find the position of the final image of the 1.0-cm-tall object. b) Find the size of the final image of the 1.0-cm-tall object. h = 1 cm f1 = 5 cm do = 4 cm f2 = -8 cm L = 12 cm di = ? Homework Equations 1/f = 1/do + 1/diThe...

Homework Statement Two converging lenses having focal lengths of f1 = 12.5 cm and f2 = 19.5 cm are placed a distance d = 49.0 cm apart as shown in the figure below. The image due to light passing through both lenses is to be located between the lenses at the position x = 33.0 cm indicated. (a)...

Homework Statement Surgeons often use a type of "binocular microscope" [that's a word by word translation]. It consists of a 50mm lens close to the patient and a -15mm right in front of the doctor's eye. The distance between the patient and the 50 mm lens is 400mm and the negative lens is...

Hi All, I need help determining focal length value in a two lens system. In the set up, the light source (object) is within a tube, a medium surrounds it with refractive index n1=1.52. The end of the tube is met with a curved convergent surface, the center of which is 0.635 cm away and focal...

Homework Statement Calculate the matrix for the optical system which takes rays from the object plane to the image plane for a simple lens and show how this leads to 1/v = 1/u + 1/f Also show that the matrix can be written in the form \left[ \begin{array}{cc} 1/M & b \\ 0 & M...

If I have three lenses, each one 50 mm in diameter and with focal lengths of 500mm, -125mm and 150 mm, What would be the EFL if I combined them all together (assuming zero distance between them). I have been looking online for focal lengths of three lens systems but cannot find anything...

Homework Statement A compound lens system consists of two converging lenses, one at x= -20cm with focal length f1 = +10cm, and the other at x= +20cm with focal length f2 = +8cm . An object 1 centimeter tall is placed at x = -50cm. What is the location of the final image produced by the...

My teacher assigned us 2 problems to do that were the exact same. One he wanted us to use the thin lenses equation, and the other he wanted us to use think lens equation. i need help becuase I don't know which one I am doing wrong and my answer is not lining up as it should, since they are the...

If you could set up a system of lenses so that once a steady light stream enters the system, it will be refracted within the same system permanently, what will happen to the photons? Would it take an infinite number of lenses to get the exact refraction?