Homework Statement
Imagine that we have two waves of the same amplitude, speed and frequency over-lapping in some region of space such that the resultant disturbance is
\psi(y,t) = Acos(ky+\omega t) + Acos(ky-\omega t +\pi)
Using complex exponentials show that
\psi(y,t) = -2Asin(ky)...
A harmonic wave traveling in +x-direction has, at t = 0, a displacement of 13 units at x = 0 and a displacement of -7.5 units at x = 3λ/4. Write the equation for the wave at t = 0.
Homework Equations
The equation for a harmonic wave is
r = asin(kx-vt+θ)
a being the amplitude
k...
[Wasn't sure if each problem needed a separate post. Please feel free to edit if needed.]
Also \~ and \^ are tilde and hat respectively.
1a. Homework Statement
Use perturbation theory to derive the 3rd order nonlinear susceptibility \chi^{(3)}(3w;w,w,w) (problem gives potential energy, etc...
The question is as follows:
A point source emits a spherical wave with λ = 500 nm. If an observer is far away from the source and is only interacting with the light across a small area, one can approximate the local wave as a plane wave. How far from the source must the observer be so that...
Homework Statement
There is a diagram in the problem statement so here is a link to the image of the problem:
http://imgur.com/KDrRsyO
Homework Equations
Snell's Law:
n_{1} * sin(\theta_{1}) = n_{2} * sin(\theta_{2})
The Attempt at a Solution
My attempt using Snell's law...
Iam a high schooler starting grade 10 this year . i have been reading undergrad texts for some time now . i need a good book for OPTICS . any ideas or suggestions
Okay, question, do I live in a smaller world than people with normal eyes?
I noticed that when you look over your glasses (minus 3.5) half through the glasses and half to the real world, that the blurry real world is larger. My 28" computer screen seems 32", my cats head looks larger, my hands...
Just ahead of time, no this is not related to homework or coursework in my case. I am a TA for an optics lab and need to know it so I can help the students in my class.
I am trying to find an expression for the x-spacing for a grating imaged using the 4f method, which is a grating that is 1...
I know the radius of a circle. I'm taking pictures of the circle as I bring it closer to the camera. Obviously the radius is getting larger. I want to know what the relationship is to find this out? I know the distance from the camera that the circle is at all times.
Homework Statement
"An object 10 cm tall is placed at the zero mark of a meter stick. A spherical mirror located at some point on the meter stick creates an image of the object that is upright, 4 cm tall, and located at the 42 cm mark of the meter stick. Where is the mirror located and what...
Hello Forum,
a fiber optic cable has two components: a core and a surrounding layer called cladding.
The core has an index of refraction n_cor sligthly larger than the cladding core c_clad.
This allows total internal reflection to take place. The difference in index is small to avoid...
I was hoping to make a great hands on optics experience this semester for my small (9) class of 11th and 12th grade (high school) students. My own experience was a bunch of ray diagrams and I would like that to not be the only thing going on here. This course is the only physics course at our...
Homework Statement
The image obtained with a converging lens is upright and 3x the length of the object. The focal length of the lens is 20cm. Calculate the object and image distances
Homework Equations
I have absolutely no idea how to even start this question
The Attempt at a...
Homework Statement
I have some difficulty understanding a part of the following problem:
In Young’s experiment, narrow double slits 0.20 mm apart diffract monochromatic light onto a screen 1.5 m away. The distance between the 5th minima on either side of the zeroth-order maximum is...
I would like to open this new topic to continue discussions on single photons which turned up in several other topics, but were a bit out of place there. So here the discussion continues. The first two quotes were basically about coincidence counting, photon statistics and the HBT-experiment...
Optics -- magnification of a converging lens
Homework Statement
Dioptry of converging lens is $D=3$. What is magnification ##u##?
Homework Equations
The Attempt at a Solution
##\frac{1}{f}=D## - dioptry.
\frac{1}{f}=\frac{1}{p}+\frac{1}{l}
u=\frac{l}{p}
l=up...
Homework Statement
A convex mirror with a focal length of -20 cm is 18 cm from a convex lens whose focal length is 6.0 cm. An object is located between them, 10 cm from the mirror and 8.0 cm from the lens. The object will produce two images, one from the light which just goes through the...
So I've just discovered that second year optics is entirely optional for physics majors (and we don't have to take it in third year, either). Since I'm mostly interested in atoms and how their interactions can explain the properties of bulk matter, is optics worth taking? It's my worst and...
A person with myopia is standing 50 cm in front of a mirror with glasses on (-1.75 dpt). Will he be able to see himself clearly?
1/f = 1/v + 1/b
I get that b = 26 cm. However my teacher says it should be 100. Is this correct?
Homework Statement
When viewed from Earth, the Moon subtends an angle of 0.5° in the sky. How large an image of the Moon will be formed by the 3.6 m diameter mirror of the Canada-France-Hawaii Telescope, which has a focal length of 8.5 m?
Homework Equations
1/s + 1/s' = 1/f, but I'm...
Hi,
could you please introduce me anythings that's related to optics items function in life?
books,magazins,movies anything...
even good pictures for understanding...(I mean for example you tell me type this ''''' in google and find those pictures for example)
if no books or ect, but you...
Homework Statement
A 1.0-cm-tall object is placed 4.0cm from a diverging lens of focal length 6.0cm. Using both ray tracing and the thin lens formula, find the location and orientation of the image.
Homework Equations
-1/f = 1/so + 1/si
m = -si/so = hi/ho
The Attempt at a Solution...
Homework Statement
An object is 1.2m below the surface of a pool. By using a ray that leaves the object at 5 degrees to the normal, find the apparent depth of the object. Assume the image is located on the normal
Homework Equations
1/p+1/q=1/f
n1sintheta=n2sintheta2
The Attempt...
Hello everyone, I was reading a physics book and found an exercise. This time I faced with a really strange one! I can't find out what I am doing wrong! I am really good at physics and math, but sometimes I fail as many people do... :smile:
The answer in the book says ~0.4m, but I am unable to...
Homework Statement
An object is placed 20cm from a converging lens of focal length 5cm. If the object moves towards the lens at a speed of 12cm/s, at what speed does the image move away from the lens?
Homework Equations
1/f=1/di+1/do
v=d/t
The Attempt at a Solution
Let's say the...
I am about to choose my classes for my up and coming semester and was debating between taking Optics or Number Theory. I know they are very different courses but for those of you who have had one or both which one would you say "in general" is the more interesting course?
I am stuck with considering a problem. I don't even really know where to start so any pointers would be a great help.
I am considering a semi-analytic model for some data i have. The situation is looking at how light propogates from a point source in diamond to air. At the surface of the...
I got these for a couple dollars at an electronics flea market. They look like maybe some kind of dichroic lens, but I don't know. Can anyone help identify them? Did I get a good deal for a couple bucks?
Here's the first one. It's hard to tell from the picture, but it's got a slight red tint...
Homework Statement
In Sears' Optics, chapter 4, Sears claims that the first and second focal lengths (distance from first and second focal points to the first and second principal points, respectively) are equal, and he seems to imply that this is true in general, without proof.
I am a...
While studying polarization I came to a word "Electric field vector" and not "magnetic field vector". Then after reading certain references I came to know that it is electric field which is considered in wave optics.
Why is Magnetic field not considered??
Homework Statement
What is the minimum thickness of coating which should be placed on a lens in order to minimize reflection of 401 nm light? The index of refraction of the coating material is 1.31 and the index of the glass is 1.56.
Homework Equations
I haven't been able to attempt the...
optics, the resulting power of the lens...??
a thin lens , made of refractive index 1.5,has a front surface +11 d power and back surface -6d ..if this lens is submerged in a liquid of refractive index 1.6, the resulting power of the lens is...
a)-1 dioptre
b)+1 dioptre
c)-5 dioptre...
Hello everyone,
I'm an optometry student who is currently doing Optics 1, and I have a general question about focal points. I can do the math regarding F1, F2, and the nodal ray, and I am decent at drawing the ray traces, but I would like to know more about the actual real world applications...
Hi,
I am a graduate student with a background more oriented in high energy physics and cosmology but switching to light and matter interaction, more specifically cavity QED and quantum optics. I need to have a working knowledge on those topics, being able to read state of the art articles and...
Hello all!
I am really rconfused about the optical part of a scanner head. :frown:
I read that it consists of mirrors, a lens and the ccd array. But how this lens looks like? Is it like a large slice? Do really exist such lenses? How can such a lens have so good resolution and so large field...
Hello.
I am taking intro to modern physics and optics next semester, the intro to modern physics is a 300 level class and the optics course is a 500 level class, at Wayne State University.
I want to come into next semester very well practiced in the math needed for those classes.
Could...
Homework Statement
A certain lens focuses light from an object 2.90m away as an image 46.9cm on the other side of the lens.
1. What type of lens is it? (Converging or Diverging?)
2. What is the focal length?
3. Is the image real or virtual?
Homework Equations
1/di + 1/do = 1/f...
Okay so I want to make a telescope at home...
Im not a noob. Even if I am please just help me.
I've got a couple of magnifying glasses ..pretty big ..
I don't know the exact focal length...
But one of them is twice the size of other...
As soon as the sun comes up I'll find their focal...
Can anyone tell me a self teaching book or lecture notes on physical optics which has all the concept written in very clear and simple way with lots of example and all the related derivation done in step by step manner . As I am not so familiar with this subject but I want to start it so a good...
I tried to solve this question. NO idea if I'm even on the right track.
Homework Statement
Suppose irradiation of a 100W light bubble (very small - be assumed as point source)
is homogeneous in all directions. Because of low efficiency, only 2% of the electrical
energy will be...
Homework Statement
The eyepiece of a compound microscope has a focal length of 2.50 cm and the objective has a focal length of 1.5 cm. The two lenses are separated by 17 cm. The microscope is used by a person with normal eyes (near point at 25 cm). What is the angular magnification of the...
Hi
Say I have a magnetic field point in some well-known direction, and I have linearly polarized light incident in that direction. I want to convert my π-polarization to σ-polarization, so I find my lambda-quarter plate.
However, how do I know whether it produce σ+ or σ-? Do they come with...
Hi,
This is a question from a homework which has stumped me:
Light is traveling along a fibre optic cable of refractive index 1.52, the refractive index of the cladding is 1.51 and the critical angle between the two is 82.
a) what is the most direct route for light along the fibre-optic cable...
Homework Statement
Two converging lenses of focal length=27cm are placed 16.5cm apart. If an object is placed 35cm in front of the first lens, where will the final image be produced? What will be the total magnification?
Homework Equations
1/f=1/di+1/do
do2=D-di1
M=-di/do
The...
I had a discussion with a professor and it was suggested that I take Quantum Optics this coming fall. I already have a full course load with 3 physics classes (Electrodynamics, Modern Physics (general), and math for physicists) and one required course (comparative religions). It was suggested...
Hi,
I'm Chaitanya, 4th year undergraduate student in biomedical engg.
I have an idea of making a mobile phone application which measures the power of your spectacle glasses.
The idea is we take an image with the phone's inbuilt camera. One of the spectacle lens will be held in front of the...
So I bought a 3 dollar diffraction grating and was playing around with it. Here's a few pictures I took just holding it up in front of my cell phone camera. Notice the bright lines in the spectrum that correspond to specific atomic transitions in the streetlight. The spectrum is dominated by...
I have shown a picture of our current ellipsometry setup. The sample is placed in the center. Polarized light comes in from the left barrel, reflects off the sample, and enters the barrel on the right. What I'm looking to build is a cover/chamber this that covers the sample but does not affect...