I have been studying Fourier Optics and I have a basic conceptual question. I understand the mathematics of how to perform Fourier Transforms however the part of this topic I seem to have missed is why the action of a lens on light is the same as performing a Fourier Transform on the functional...
Homework Statement
I'm riding my car. My eye is 40cm from the rearview mirror. I want to know if I can see the car behind me. The car behind me is 2.5m large. Can I entirely see the car behind me in his whole wideness? The mirror is 23 cm long. The car is 4 meters behind us.
Homework...
Hello all,
i have frustrating task in my lab...
i have to generate a code in MATLAB that will get the focal length and the object distance from the lens, i.e image (1000X1000 pixels).
transfer it through the lens and, for the output it should be the result of it...
This may sound really silly but yeah, a plane mirror, and a white sheet of paper, both reflect all the wavelengths of light incident on them. So Instead of a plane mirror, if I use a white sheet of paper, Why don't I see a reflection of myself?
I have studied ray diagrams, and i know how an...
Searching for free Quantum Optic tutorials came up with the following. Any other suggestions?
http://iftia9.univ.gda.pl/~sjk/QO-SK.pdf
http://physics.stfx.ca/~pmarzlin/lectures/phys673-winter07/marzlin-phys673-2007.pdf
http://www.st-andrews.ac.uk/~jmjk/keeling/teaching/quantum-optics.pdf...
Fresnel biprism
sorry if this is the wrong place.
Does anyone know a supplier for a Fresnel biprism with apex angle approx 168° should be reasonably small (approx 2cm x 2cm). Looked everywhere but no joy.
Homework Statement
An object 20 cm. to the left of a converging lens with focal point 0.3 cm is moved to the left at a constant 5 cm/s. How fast is the image moving?
Homework Equations
v = vo + at
1/f = 1/u + 1/v
The Attempt at a Solution
Since there is no acceleration, I got 5 m/s...
"Quantum Optics," by Scully and Zubairy, attempts to explain the natural line width of an emitting atomic ensemble (in a resonant cavity with leakage) using random spontaneous emission events of the atoms (which in turn is due to interactions with the vacuum field). The basic idea and...
I was attempting to solve the following problem from IIT-JEE 1991 (actually I first found it on the book Solved problems in Physics)
It asks for the image viewed by an observer at left. Ok, an observer at left would seen an image that passes through a spherical dioptre glass-air only...
Homework Statement
We're working through the first Microwave Optics lab described in the following PASCO Scientific manual:
intro.phys.psu.edu/class/p457/experiments/html/pasco_microwave_optics_WA-9314B.pdf
We're using a slightly modified version of this setup, with a voltmeter hooked...
Homework Statement
A polymer coating has a n=1.30 and a base of n=1.50. What is the minimum thickness of the coating to reflect 500 nm least strongly?
Homework Equations
The Attempt at a Solution
Homework Statement
Doing some practice problems to prepare for upcoming exam and ran across this:
A real image is
a. One in which light does not pass through the image point but appears to diverge from that point
b. One for which the magnification equal 1
c. An excellent image
d. An...
I read in a book!If the electrons emit a light wave which is 90° out of phase with the light wave shaking them, it will cause the total light wave to travel more slowly. BUT I don't know why?anybody can help? Thank you!
Homework Statement
A real object is placed 9.00 cm from a converging lens that has a focal length of 24.0 cm. The image is________.
My classmate answered "14.4 cm from the lens, virtual, and enlarged," but apparently this is incorrect. I solved it out and chose the option "14.4 cm from the...
Homework Statement
1. A cylindrical tank 2.4 m deep is full to the brim with water. Sunlight first hits part of the tahnk bottom when the rising maes at 22o angle with the horizon. Find the tank's diameter
2. An aquarium is made from a thin-walled tube of transparent plastic 50 cm in...
Homework Statement
With regard to Young’s Experiment, derive a general expression for the shift in the vertical position of the mth maximum as a result of placing a thin parallel sheet of glass of index n and thickness d directly over one of the slits. Identify your assumptions.
Homework...
Hello. I know how to realize an homemade fiber optic using some food jelly. Are there other materials, at amateur grade; to replace jelly ? ( NB this item has to be used in high vacuum, and jelly is not convenient for this use)
I'm looking at concentrating light (e.g. sunlight) with a lens, and trying to figure out the maximum concentration I can get. If you have a perfectly collimated source, a lens can focus that light down to a point, but when the source has some divergence, the point you can focus down to will have...
Hello,
here is something that's been bothering me for a while:
say I have a charged particle beam that can be described by one bivariate Gaussian in X dimension and another bivariate Gaussian in Y dimension. The parameters of the bivariate gaussian are the position (X) of an individual...
Homework Statement
When the striking ray is held perpendicular to the prism, there are four general configurations possible (in the attachment below). Use the figure on the next page to determine analytically which of these four configurations will result in total internal reflection of the...
Homework Statement
Two flat slides of glass are separated at one edge by a thin wire, as shown below. The top surface of the upper slide and the bottom surface of the lower slide have special coatings on them so that they reflect no light. The system is illuminated with light of wavelength...
Homework Statement
These are more-so explanation based and there is no math involved.
1) How come someone with "normal vision" does not require glasses?
2) Why does a far sighted person require glasses with a positive focal length?
3) Why does a near sighted person require glasses with a...
Homework Statement
1. An object is placed 1.5m in front of a convex lens of focal length 500mm. Find the position of the image formed and state its nature.
2. A second convex lens of focal length 25mm is placed 770mm behind the first convex lens. Find the position of the final image formed and...
My teacher said that instead of using a fiber optic made of just one material we could use a set of materials with progressively low refractive index to turn the light back in, like so:
In the case of a continuous variation of refraction index, how can you do the math. Can you please show...
Hi Guys,
I have a question about a telecentric lens I've been studying and was wondering if you guys could help clear some cobwebs in my head. For starters, I am simplifying the TC lens as a compound lens. Also, this lens has 2 degrees of freedom: (1) it can be extended and retracted (2) it...
I've searched the web for caustics and optics, but mostly see pictures of them. They seem to have some positive use. In some fashion they seem to magnify. They seem to be somehow related to critical curves, whatever they are. Both seem to be helpful in gravitational lensing. How?
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
An object is placed 400 mm in front of a convex lens of focal length 80 mm. Find the position of the image formed. State the nature of this image.
A second convex lens of magnifying power X8 is placed 125 mm behind the first convex lens.
What is the focal length of...
Homework Statement
Using expansion of sin and cos functions, show that the resultant of adding the following two waves:
a) E1 = E01*sin(wt-k(x+Δx))
b) E2 = E01*sin(wt-kx)
Gives: E = 2E01*cos((1/2)kΔx)*sin[wt-k(x+Δx/2)]
Homework Equations
N/AThe Attempt at a Solution
I don't know how to sum...
Homework Statement
An optics lecturer bought his first multifocal eye glasses a while ago. The correction for looking far away was –2.25 diopters. Compared to this, the reading part had an additional correction of +1.75 diopters to achieve the convenient reading distance of 40 cm. He also...
Hello all,
I need to design an experimental apparatus that involves manipulating the path of a laser. Thus far I only know the bare basics about optics and I have never attempted optical apparatus design, does anyone know a book that is a really good reference for experimental applications of...
Hello, I have about a month to learn a whole course in optics. I do not particularly like the two books I have, Principals of Physical Optics by Bennett and Optics by Hecht. I was wondering if anybody knew of a good book?
Thanks.
You can put a diffuser in front of a visual light source (i.e. lightbulb) that will scatter light in all directions. In effect, the diffuser acts as an analog lightsource by making light go in all directions (some of the enegry will be absorbed). LCD screens use diffusers to spread out their...
Optics question -- coin at the bottom of a swimming pool
The apparent depth of a pool depends on the angle of viewing. Suppose that you place a coin at the bottom of a swimming pool filled with water (n = 1.33) to a depth of 2.16m.
Find the apparent depth of the coin below the surface when...
Homework Statement
In the upper half of a (x,y) plane endowed with a refractive index of n(y) = 1/y, find the form of light ray.
Homework Equations
l = ∫n dl
The Attempt at a Solution
My method is to construct a functional for optical path, obtaining the result using...
Homework Statement
There is a half space z>0 full with hydrogen gas with density n atoms / metres cube.
An incident wave plane with pulsation ω coming from z = -∞ arrives at the surface of incidence. This wave transports a flux of energy ∅0 at z=0.
We consider a elementary cylinder whose axe...
Hi friends,
Please help me in answering this problem
The problem is as follows,
https://fbcdn-sphotos-e-a.akamaihd.net/hphotos-ak-prn1/s480x480/11130_2937865262994_1085043361_n.jpg
Well,
Friends when the lower mirror would be at position 'A', which is moving in the upward direction...
Hi friends,
Please help me in answering this problem
The problem is as follows,
https://fbcdn-sphotos-g-a.akamaihd.net/hphotos-ak-ash3/s480x480/557923_2937818221818_1718139220_n.jpg
Well,
As far as I am concerned, When white light fall on the first surface, after refraction...
Homework Statement
Use the Fresnel Equations to prove that light incident at θp=1/2*∏-θt
results in a reflected beam that is indeed polarized.
Homework Equations
N/A
The Attempt at a Solution
I cannot find a Fresnel equation that has θp in it. And even if I did, I wouldn't know...
Optics -- Refraction and a transparent sphere
Homework Statement
A spider is hanging by means of its own silk thread directly above a transparent fixed sphere of radius R=20 cm as shown in the figure. The refractive index of the material of the sphere is equal to ##\sqrt{2}## and the height...
In textbook on optics by Pedrotti (and I think Fowles does the same) on page 493 it is said that:
kr=krr=ktr
from which follows
(k-kr)r=(k-kt)r=(kr-kt)r=0,
where k, kr and kt are wave vectors of incident, reflected and transmitted wave.
Than Pedrotti concludes that kr and kt must...
Homework Statement
A non-expanding/non-contracting laser beam having a diameter 0.132 m in air strikes a piece of glass (ng = 1.62) at an angle of 52°. What is the diameter of the beam, in m, in the glass?
Homework Equations
snell's law, n1sin(θ1)=n2sin(θ2)
The Attempt at a...
Hi friends Please help me in solving this issue too.
The problem is as follows :
https://fbcdn-sphotos-g-a.akamaihd.net/hphotos-ak-ash3/526477_2890689763636_1631084369_n.jpg
As it seems that the rays are striking on the the spherical surface parallel to the principal axis so u → ∞...
Hi friends,
I am sticking in a problem of Geometrical OPTICS,
The problem is as https://fbcdn-sphotos-e-a.akamaihd.net/hphotos-ak-snc6/285225_2890687243573_1306065782_n.jpg
Attempt -
Here for the convex lens applying the lens formula
1/v - 1/u = 1/f
so, 1/v = 1/u + 1/f
1/v = -...
Homework Statement
(see attachment)
Homework Equations
The Attempt at a Solution
I don't quite understand the question. It asks the distance of the "unilluminated patch" from the cylinder. There will be only a single point where the rays will intersect. Rest everywhere, it is...
The width of a pulse is typically given in the time domain, correct? The effective width is the term to describe this.
What is the spectral width in the frequency domain?
How do you calculate spectral widths and effective widths?
Thanks for your time.
Homework Statement
A laser provides pulses of EM radiation in vacuum lasting 7.47* 10-12 s. If the radiant flux
density is 2.65 * 1020 W/m2, determine the amplitude of the electric field (x *1011) of the beam. Units are required as listed in instructions.
Homework Equations
Irradiance =...
Homework Statement
Suppose a laser produces a pulse of light with duration 1 ns, a diameter of 1 cm, and a total energy of 1 mJ. In free space, the pulse length is this 30 cm, the energy density is 42 J/m3, and the irradiance is 1.3*1010 W/m2. Calculate the length, energy density, and...
Homework Statement
An isotropic quasimonochromatic point source radiates at a rate of 100 W. What is the flux density at a distance of 1 m? What are the amplitudes of the E- and B- fields at that point?
Homework Equations
I think (but not at all sure) that the equation for flux density...
From my understanding, when white light hits a surface, all of the frequencies within the white light are absorbed except one, which is reflected, and that is the color of the object. For instance, a blue plastic appears blue because it absorbs all frequencies except that of blue.
Why then, can...