Homework Statement
Visible light passes through a diffraction grating that has 900 slits per centimeter, and the interference pattern is observed on a screen that is 2.58m from the grating. In the first-order spectrum, maxima for two different wavelengths are separated on the screen by 3.16...
So I'm currently busy studying a Digital Micromirror Device which is used for top-hat beam generation. Programming the input pattern and error diffusion needed for optimal top-hat generation is heavily based on Fourier Optics.
The problem however is: I don't know Fourier optics. I know this...
This is a problem from Boyd Nonlinear Optics chptr 1 problem 2.
Homework Statement
Numerical estimate of nonlinear optical quantities. A laser beam of frequency ω carrying 1 W of power is focused to a spot size of 30μm diameter in a crystal having a refractive index of n =2 and a second order...
Homework Statement
I've been reading through Quantum Optics by Scully and Zubairy and have been stuck in section 6.2 getting from the definition of the atomic inversion given by equation (6.2.20, pg 199)
W(t)=\sum_{n}\left[|c_{a,n}(t)|^2-|c_{b,n}(t)|^2\right]
to the atomic inversion for the...
Hi all
I'm trying to replicate the effect of a 45° Faraday rotator using a series of waveplates instead.
I've encountered some difficulties using the jones matrix notation, due to the differencies of the matrix formulas between the books I'm referring to.
The main book I'm using is...
If a neutrino beam passes through an optics lens in principle does the matter in the lens focus the neutrino beam granted it may be ridiculously small amount? If the lens were instead made of compressed matter of nuclear densities would the answer change much?
Thanks for any help!
Hello, I'm studying basic nonlinear optics and I would like to solve a couple doubts about (basic) photon interaction.
Let a monocromatic (of frequency ω) electromagnetic field propagate through a nonlinear medium and let the third(and higher)-order terms in the relation between the...
Homework Statement
A Michelson Interferometer has incident light in range 780-920 nm from a source. Intensity as a function of x (distance from central maxima) is given by:
I_{(x)} = 3I_0 + 3I_0 cos(K_1x) cos (K_2x) - I_0 sin (K_1x) sin (K_2x)
where ##K_1 = 1.3 x 10^7 m^{-1}## and ##K_2 =...
Homework Statement
An incident unpolarised light beam of intensity I_{0} strikes glass plate B at Brewster's Angle. The reflected light travels vertically and strikes a second glass plate A, again at Brewster's Angle. (We ignore the light transmitted by the glass plates.) Plate A is then...
While reading about whispering gallery modes, I have learned that whispering gallery modes can be seen for "microscopic spheres or toruses" -Wikipedia- , But can they practically be observed in relatively large prisms or glass spheres (m or even cm magnitude) ?
Homework Statement
A ray of light enters a glass block of refractive index n and thickness d with angle of incidence θ1. Part of the ray refracts at some angle θ2 such that Snell's law is obeyed, and the rest undergoes specular reflection. The refracted ray reflects off the bottom of the block...
Greetings,
I have never formally studied optics, and am looking to do so. I have looked around a little bit, and I have the impression that there are not really any "go-to" textbooks on the subject that everyone uses.
Does anyone have any recommendations for a good (classical) optics...
Very basic optics questions:
1. So light is a type of radiation, due to which we see objects. Some objects, like a candle, are luminous and we can see them without another light source. Some other objects are non-luminous, and we need a light source to have light reflected upon them. How does...
Homework Statement
*The diagram of the telescope is attached*
Question states
A telescope is constructed from five thin lenses of Diameter D and focal lengths 2F, F, F,F,2F
located at x = 0,2F,4F,6F,8F
Trace the path of a ray entering the system parallel to the optical axis
The...
Hi everyone,
I was thinking about an optics question in a physics textbook. I think the solutions I saw in the solution manual may be wrong.
The question is:
When you do the calculations using
1/p + 1/q = 1/f
you find that the lens first creates an image 400 cm to the...
Hi,
I'm an electrical engineering student starting research in nonlinear optics, and I'd like some good books to do with nonlinear optics. I'm looking for book similar in style to Nonlinear Optics by Robert Boyd as I really quite like that book. Other books I've gone through include Optical...
Homework Statement
Show that if cosΦ is replaced by its third-degree Taylor polynomial in Equation 2, then Equation 1 becomes Equation 4 for third-order optics. [Hint: Use the first two terms in the binomial series for ℓ^{-1}_o and ℓ^{-1}_i. Also, use Φ ≈ sinΦ.]
Homework Equations
Sorry that...
Homework Statement
In the photo (which I cannot post now, but it is a magnifying glass, and a dollar bill) the images through the lens appears twice the size and it is at a distance of 3.0cm from the lens of the magnifying glass. Determine focal length.
Homework Equations
1. -di/do=m...
Homework Statement
The other day in lecture my professor mentioned the words mode locking and phase matching (same as velocity matching apparently) while on the topics of lasers. However, i can't find anything that can provide a simple explanation of what they are. Is there anyone who would...
An infinity corrected microscope objective has a magnification of 100× for a tube lens
with focal length 180 mm. The numerical aperture of the objective is 0.90. Calculate the
the diffraction limited spatial resolution if the objective is
used with red light (660 nm). (Ans.: f=1.8 mm; d=447...
Homework Statement
Here is a worked problem:
I don't see why they've used "m-1/2" instead of "m+1/2"?Homework Equations
According to my textbook the radius of mth bright fringe is:
##x = ((m+\frac{1}{2})\lambda R)^{1/2}##
Where R is the radius of curvature of the convex lens.The Attempt...
Hello
I want to ask you about the split method used to solve the nonlinear schrodinger equation numerically I just want to know what are the results that I am expecting to get how many graphs ??
“Light is emitted with a central wavelength of 500 nm. First it is analysed with a Michelson Interferometer: starting from uniform illumination, one of the mirrors is displaced 2.5 mm until no new fringes can be distinguished. Then it is analysed with a Young´s Double Slit: it is observed that...
Homework Statement
An 80 mm focal length thin lens is used to image an object with a magnification of -1/2.
The lens diameter is 25 mm and a stop of diameter 20 mm is located 40 mm in front of the lens.
How big is the unvignetted field of view [in terms of object size (in mm) and in terms of...
Hello all,
I am considering applying for PhD programs in Physics/EE (specifically - Optics/Photonics). Considering pervasive posts about the dismal job market, I understand Optics/Photonics is more applied, and hence more sought-after in industry. However, what areas within Optics/Photonics...
Homework Statement
A man stands 1.85m in front of a mirror hanging on a wall. His eyes are 10 cm below the top of his head. At what height from the floor, must the mirror be placed?
Homework Equations
Snells Law: n1*sin(omega)1=n2*sin(omega)2
The Attempt at a Solution
I converted...
Homework Statement
A concave mirror of focal length 30 cm is placed on the flat horizontal surface with its concave side up. Water with refractive index 1.33 is poured into the lens. Where should an object be placed if its image is to be captured on a screen with a magnification of 2.
Ans...
Hello all,
I've got an optics problem that I'm having some difficulty with, where I want to send a beam through a converging lens to obtain a certain image size. My incident profile is that of a ring with a certain thickness and use I use this as my object. I want an image of a certain size, so...
Homework Statement
An object is located at a distance R from a sphere of radius R. The final image is formed at the same distance R on the other side of the sphere. Calculate the refractive index of the material of the sphere.Homework Equations
Since we are dealing with refraction at spherical...
Homework Statement
An object is placed at 25 cm to the left of a diverging lens. A converging lens with a focal length of 12 cm is located 30 cm to the right of the diverging lens. The two-lenses-system forms a real inverted image 17 cm to the right of the converging lens (see attachment)...
Homework Statement
Had the same problem as this threadstarter:
https://www.physicsforums.com/showthread.php?t=109059
Homework Equations
The Attempt at a Solution
I managed to find a ratio of tangents for the two angles. From there, it seems you're supposed to go "well tan(x)...
Hi all,
This is probably a silly questions, but I want to be sure :).
I'm wondering if a real image, created by a convex lens, can appear larger than the lens diameter itself.
As an example, I'm thinking about the following:
- I have a an object of height h_0=7.76" (display size of...
Trying to get my head around constructive/destructive interference in thin film optics. The book does a good job of throwing formulas at you but I want some intuition.
If we shine a laser with λ = 600 nm on a thin film of a material with refractive index 1.5, at what thicknesses will we get...
I have a very strong interest in optics with biomedical applications, and I have been noticing this field growing over the last few years; however, the number of programs seem very limited. The big programs are University of Central Florida, University of Rochester, and University of Arizona. I...
Hi!
I'm an Italian student. I I would like to became an experimental quantum optics. In particular I'm interested in Bose-Einstein condensate.
I must decide where do my thesis. Can sameone help me?
Thank you so much.
I was wondering if anyone could suggest a good quantum optics book. I know Quantum at the liboff text level. I am not sure if the wolf and born texts are too advanced for me, since I do not have the book, and it has a reputation for intense mathematical rigor.
I appreciate the recommendations.
Homework Statement
A 3 cm tall object is placed 11 m from a wall. If the image is to be projected upside down with a 20 cm focal lense, what is:
A} The type of lens used?
B] Where is the lens placed?
C] What is the height of the image?
D] What is the magnification of the...
Hello,
If you have an object, and a bi-convex lense, you are given the focal length, and you are given the magnification factor (M) to be 2, how are there two possibilities to place the object?
One question I was doing asked this, and said:
a) if the image is virtual, and M=2, find the...
Hi all
Last week i had an exam in electro-optics lab.
we were given a question in optical Fourier setup (attached)
and then we have some questions about the purpose of the setup.
I claimed that the aim of the proposed setup is very similar to 4-f system for inverse Fourier...
I am finishing a course on Eletromagnetism and Optics. I am currently a physics student in the second year of university. I passed the final exam and now I'm supposed to do a work on fiber optics. Do you know any interesting problem that i could adress? It can be a hard one, I am supposed to...
Hello,
would someone know what is the smallest radius of curvature achievable with current gradient index optics (GRIN) technology?
I mean, how much could one "curve" a ray of light?
Many thanks! :smile:
So right now I am working on an amature astronomy project to develop a simple lab about the sun's declination. I am borrowing the cheapets linear polarized sheets that I could find ...
Because they are least 10 - 15 years old, I would really like to clean them, but I don't know what to use...
Hello,
I've been helping a graduate student out with his project which is planar laser-induced fluorescence. Part of the procedure involves generating a laser sheet with which to illuminate over the flame under study.
Now, typically a usual procedure involves using a beam expander to...
Homework Statement
Water level in the tank is decreasing at a constant rate of 1 cm/s. A small metal sphere is moving downwards with a constant velocity of 5cm/s. Base of the tank is a concave mirror of radius 40 cm. Find the velocity of the image seen (refractive index of water=4/3)...
Homework Statement
A light ray parallel to the x-axis strikes the outer reflecting surface of a sphere at a point (2,2,0). Its center is at the point (0,0,-1). The unit vector along the direction of reflected ray is ##x\hat{i}+y\hat{j}+z\hat{k}##. Find the value of ##yz/x^2##.
Homework...
Hello guys,
First of all this is not a homework. I am preparing for my exams and this question was asked in my previous exams so I tried to solve this question myself, I have tried to solve this numerical by myself, but couldn't get the answers right. So, I am posting this question here, in...