A lens is a transmissive optical device that focuses or disperses a light beam by means of refraction. A simple lens consists of a single piece of transparent material, while a compound lens consists of several simple lenses (elements), usually arranged along a common axis. Lenses are made from materials such as glass or plastic, and are ground and polished or molded to a desired shape. A lens can focus light to form an image, unlike a prism, which refracts light without focusing. Devices that similarly focus or disperse waves and radiation other than visible light are also called lenses, such as microwave lenses, electron lenses, acoustic lenses, or explosive lenses.
Lenses are used in various imaging devices like telescopes, binoculars and cameras. They are also used as visual aids in glasses to correct defects of vision such as myopia and hypermetropia.
Homework Statement
Homework Equations
We will call ##s## the distance of the object from the first lens, ##s'## the distance of the image from the first lens and ##s''## the distance of the image from the second lens.
The Gauss's lens equation:
$$\frac{1}{s} +\frac{1}{s'}=\frac{1}{f_1}$$...
Hello,
So, here's an article about invisibility cloaking
http://www.businessinsider.my/how-to-make-a-rochester-invisibility-cloak-2014-9/?r=US&IR=T#ruDbxWBJYWXsXcyW.97
What I don't understand is how's the object between the lenses is cloaked. Is it because the rays are focused to a point...
Sorry if I missed the answer in my search. I expect I'm not use the correct terms. I want to design a Galilean/opera glasses style steampunk monical mounted to my reading glasses. I already have a simple lens that I can swing in front of my one eye.
When using commercial eyeglass mounted...
I have fabricated a few biconvex lens (12mm diameter) for an experiment and am trying to find their focal lengths. My though is to set up three parallel lasers and find where the beams converge. However, even with the smallest laser diodes I could find, three beams surpass the diameter of the...
Homework Statement
You are required to set up a light source, an object grid, a converging lens and a screen so that a quantitative investigation of object and image distances can be performed. Tabulate corresponding object and image distances (p and p' respectively). Also tabulate values of...
Homework Statement
A 1.60 cm tall object is 20.0 cm to the left of a lens with a focal length of 10.0 cm . A second lens with a focal length of 36.0 cm is 44.0 cm to the right of the first lens.Homework Equations
1/f = 1/di + 1/do , hi/ho = di/doThe Attempt at a Solution
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calculate...
Homework Statement
Hi everybody! Being given three identical thin lenses with the same focal length, I have to determine ##a## (distance object-screen), ##d_a## (distance lens 1-lens2) and ##d_b## (distance lens 2-lens 3) so that a sharp image of the object appears on the screen regardless of...
Homework Statement
So I've calculated the person's corrective lens to need the power of -2.00D now I must find the new near point with the corrective lens on.
The initial near point is 15cm and I converted the -2.00D into cm, which is -50cm (I hope).
Homework Equations
I've used this formula...
Homework Statement
Calculate the focal length of a planoconvex lens that produces a real image 2.5 times as big as the object if the object is 2.5 cm from the lens?
Homework Equations
The only one I can think of is 1/f = 1/v + 1/u
The Attempt at a Solution
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My 'attempt' is 1/f = 1/62.5...
Homework Statement
I am asked to draw the ray diagram
for an incident plane wave whose rays are at an angle α with respect to the optical axis of the telescope. I have done this, but I need to find an expression for the angle between the outgoing rays and the optical axis, in terms of f1, f2...
Hi All,
My name is Radek Strugalski and I am creator of an Optical Table Simulator, a 2D precise ray tracing engine written in Silverlight 5. It can be used for educational purposes, experimentation or jus fun. It's completely free and so far no plans to spoil it with ads. :)
I saw that some...
Homework Statement
If the focal length of the bi convex lens is 25 cm then the power of the lens will be?
Since the light striking the lens converges at a point behind the lens will the answer come in positive?
Homework Equations
Power of lens D= 1/f
The Attempt at a Solution
D= 1/25= +0.04...
Homework Statement
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I was doing http://stao.ca/VLresources/sci-tie-data/lessons/1400_1499/DivergingLensExperimentDeta.pdf experiment. Let's look at this image:
Suppose we get the imaginary object at dv by convergence lens. And this object is like a real object for the concave lens. Then...
If you have an optics system where you know the spot diagram of the image at on imaging on one plain and projecting onto another. Where you know the spot size for a point source at a given distance from the centre of the field.
Now if you reverse the system where the imaging plain now becomes...
Homework Statement
Homework Equations
\frac{1}{p}+\frac{1}{q}=\frac{1}{f}
The Attempt at a Solution
I already had this typed in word so here is a screen shot:
I don't understand why the negative is omitted in the "correct answer" "B." In solving this problem I wanted to proceed in...
Assume a flat one square foot vertical plate attached 6 feet up, outside on a wall.
Dozens of yards away are various solar reflectors angled to reflect sunlight onto that plate.
Problem is, the plate requires to be only struck straight on at a 0 degree angle of incidence.
And, all the...
I was told in the industry people use
ZeMax
ASAP
Code V
...
to do design.
However, I cannot find a trial version of them to practice.
Is there anyother sofftware which are free?
Homework Statement
An observer looks at a small object using a magnifying glass with the focal length of 12cm. Distance from his eye to the magnifying glass is 1cm. The shortest distance at which he sees clearly is 25cm and the largest is when the image of the object is in the distance...
Why isn't 1/f=1/do+1/di just the mathematical equivalent to f=do+di? Can't you raise all terms in the equation to the power of negative 1 to get the latter equation? The maths of reciprocals is confusing me lol.
Greetings.
I'm working on a raytracer, and got stuck with trying to model a lens analytically.
Given is a thin lens at position p with the axis n, radius r and a focal distance f, a ray hits it at position p1 going in the direction d.
Which way would the ray be going on the other side of the...
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
A punctual source of light is in the focal point of a diverging lens. in which distance from the lens is the image. Draw the road of rays.
Homework Equations
The objects at focal point don't have an image.
The Attempt at a Solution
http://s32.postimg.org/ociblmif9/image.png...
Homework Statement
A biconvex lens, L_1, with focal length of magnitude \left|
f_1
\right|
= 15 cm is used with a second biconvex lens, L_2, with focal length of magnitude \left|
f_2
\right|
= 25 cm to form a compound lens system.
If the two lenses are placed in mutual contact what is...
Homework Statement
A convex lens which focus point is 10 cm is placed face-to-face with plane/flat mirror in a 20 cm distance.
If a candle is placed 5 cm in front of the plane mirror which will get reflected by the mirror and refracted by the lens, so the distance between two first image in...
Hello everyone,
I am trying to find effect of collimated lens on gaussian beam propagation. Do you know how to solve that? I need any equations ,then going to use them via matlab.
Thanks
Homework Statement
The contact lens prescribed for a mildly farsighted person is 1.25 D, and the person has a near point of 29.0 cm. What is the power in D of the tear layer between the cornea and the lens if the correction is ideal, taking the tear layer into account? Assume that a normal...
It is said that whenever index of refraction varies, there are reflections and it can reach 4% for uncoated surfaces.. how about in thin contact lens used for eyes.. is there also 4% reflection on each surface if they are uncoated?
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 λ[/B]
Homework Equations
2t=mλ for dark fingers
The Attempt at a Solution
how can i calculate r5001 dark,also ,what is the meaning of r in qusetion(r=5mm),<----- it is not the curvature R of plano-convex lens also it is not r5001 dark,since it will get incorrect answer so...
Homework Statement
Consider a double slit experiment with a light source of 540nm. Slit separation is 4mm. A thin glass plate is placed in front of one of the slit,, resulting in each bright fringe moving to the location of the adjacent bright fringe. Find the minimum thickness of the glass...
Homework Statement
Consider a telescope composed of two convex lenses, the objective lens and the eyepiece. The objective lens has a focal length of 26cm. Rays parallel to the principle axis enter the telescope through the objective lens and exit the telescope from the eyepiece as parallel...
Homework Statement
hat happens to the image of an object kept before a lens if the upper half of lens is covered by an opaque coating?
(The object is kept at a distance $1.25f$ before the lens. Half the object is above the principle axis. $f$ is the focal length of lens).
Homework...
Hello!
This is an old problem from the Estonian-Finnish open physics olympiad (2013) and I hope you will be able to lend me some help.
1. Homework Statement
Sun-rays are focused with a lens of diameter d = 10 cm and focal length f = 7 cm to a black thin plate. Behind the plate is a mirror...
Hello Forum,
In the case of an ideal, thin lens (free from any aberration), it does not matter which face of the lens is facing the object. The results will be identical.
What if the lens was an ideal (no aberration) thick less with the H planes, etc...? Would it matter which lens surface is...
Homework Statement
" A converging lens has a focal length f. The object location at magnification equal to -1 is? "
Homework Equations
m = -S'/S
The Attempt at a Solution
Here is my solution:
M= -1 , S=??
M= -S'/S
-1 = -S'/S
S= -S'/-1
S=S'
And from case 2 that says if an object is placed...
Is there any way to design a lens or system of lenses where I see the same part of the image, irrespective of direction or angle of view. The light rays can be assumed to be collimated as viewing will be from a distance.
Actually- I am looking at focusing on a point or specific area of the...
Homework Statement
. Three thin lenses, each with a focal length of 40.0 cm, are aligned on a common axis; adjacent lenses are separated by 52.0 cm. Find the position of the image of a small object on the axis, 80.0 cm to the left of the first lens.
d=52cm between
f=40cm
d of object=80cm...
Homework Statement
A thin converging lens has radii of curvature of R1=9cm and R2=-11cm. Assume its focal points F1 and F2 are 5cm from the center of the lens. Determine its index of refraction.
Homework Equations
Len's Makers equation: 1/f = (n2 - n1 / n1) (1/R1 - 1/R2)
The Attempt at a...
Homework Statement
Hi!
I have lately come across some tricky experimental physics tasks, where no solution is given. Some of them involved parts where the focal length of a convex lens had to be measured with a laser. How do you do this?
Homework Equations
1/l + 1/d = 1/f (1)
where f is the...
Homework Statement
A magnifier has a magnification of 9×
How far from the lens should an object be held so that its image is seen at the near-point distance of 25 cm?
Assume that your eye is immediately behind the lens.
Express your answer to two significant figures and include the...
If you know the focal length of a lens and use the lens equation 1/do + 1/di = 1/f by assigning some arbitrary do and solve for di, can you then find the magnification just from the focal length from -di/do?
Firsts of this is not my problem I don't even take physics but it is my girlfriends. She doesn't know how to get the answer an neither do I. I took some physics but not enough for this.
1. Homework Statement
A sports photographer has a 160-mm-focal-length lens on his camera. The photographer...
For an object at focal length in front of a convex lens, the image formed will be at infinity and the refracted rays are parallel (refer to the figure). Since our eye lens is convex in nature, why don't it converge these parallel rays so that an image can be formed?
What kind of frame of reference do I have to choose when I'm studiyng lens and mirrors?
As far as I know you consider positive the direction where the rays are real and negative the one where the rays are virtual, is that always true?
Why can't we study a problem of optics choosing a frame of...
Attached is an illustration of an image being demagnified using a double convex lens.
I want to determine the intensity of the light (mW/cm2) if I were to put a lux meter at various locations after the convex lens given that the object is at a fixed location. The object is a monochromatic light...
Why does a ray of light change's it's direction as it passes the lens? It's because of the fermat principle? Is because of the index of refraction? (Why there is no index of refraction in 1/p + 1/q = 1/f ?)And if it's because of the index of refraction can we apply snell law? Once the ray passes...
Does anybody happen to know the strength of the electroMAGNETic lenses of a scanning electron microscope?
I was thinking of using solenoid coils, which would be enough if I am willing to increase the focal distance, but the lenses on SEM's seem far larger.