Hi guys, I have been trying to solve the Helmholtz equation with no luck at all; I'm following the procedure found in "Engineering Optics with MATLAB" by Poon and Kim, it goes something like this:
Homework Statement
Homework Equations
Let's start with Helmholtz eq. for the complex amplitude ##...
Hello everyone.
I'm trying to better understand structured illumination microscopy and in the literature, I keep coming across bits of text like this.
Source: http://www.optics.rochester.edu/workgroups/fienup/PUBLICATIONS/SAS_JOSAA09_PhShiftEstSupRes.pdf
From Fourier analysis, if I take the...
Homework Statement
Scientists want to trap the supercooled atoms (atoms have low thermal energy). They create an electric field by the interference of some laser beams. In the center of the trap, the electric field has fomula:
\vec{E(x)}=E_0(1-\frac{x^2}{x_0^2})\vec{e_z}
With values...
Homework Statement
A laser is fired into a wet paper placed ontop of a glass plate of thickness ##d## and an angle of ##0## degrees. When the light hits the paper and goes through the plate it forms a circle of light of radius ##R##. What is the index of refraction of the glass plate?
Homework...
Homework Statement
monochromatic light of 625 nm of wavelength falls normal to the optical bar. Total number of light lines that appear behind the bar is 11. What is the constant of the difraction bar?
Homework Equations
3. The Attempt at a Solution [/B]
I tried ##dsinx=ms## where ##s## is the...
The question
A microscope is focused on a black dot. When a 1.20 cm -thick piece of plastic is placed over the dot, the microscope objective has to be raised 0.380 cm to bring the dot back into focus.
What is the index of refraction of the plastic
Relevant equations/ideas...
Homework Statement
A spherical surface of roc 10 cm separates 2 media x and y of refractive indices 3/2 and 4/3 respectively. Centre of the spherical surface lies in the denser medium. An object is placed i x medium. For image to be real, the object distance must be ----
A) >90 cm
B) <90 cm...
Homework Statement
Would you see the same thin film interference pattern in a film of soap surrounded by air and a film of soap on glass? Why or why not?
Homework Equations
None
The Attempt at a Solution
Yes, you would see the same thin film interference pattern in a film of soap surrounded...
Homework Statement
A light ray falls from the air (##n_a=1##) into the center of the upper surface of a long cilindrical glass tube with an index of refraction ##n_t=3/2##. The tube is submerged into water all the way to the upper edge and the waters index of refraction is ##n_w=4/3##. What is...
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...
Can encryption algorithms like 3DES or RSA be implemented for optical networks in MATLAB? I know that the implementation of these in optics have been studied. But I am not sure what software they would have used. Can I use MATLAB for the same? Any resource on how to do this would be greatly...
Homework Statement
A fish is 60 cm under water. A bird directly overhead looks at the fish. If the bird is 120 cm above the water level, find the apparent position of the fish as seen by the bird.
The question is solved by using the principles of refraction. But, if the bird is directly...
I am entering my senior year at a liberal arts college where I am earning a BA in Physics. I have some research experience in optics and by the time I graduate I will have more. I am fairly certain that I do not want to continue doing research for my career and that I am more interested in some...
To my current(somewhat pathetic:wink:) knowledge the reflection off metal surfaces happens because
the changing electric and magnetic fields cause "mini currents" or charge redistributions
which produce their own electromagnetic waves identical to the incoming ones or in other words the...
A plane mirror forms a virtual image of a real object placed in front of it and a real image of a virtual object placed in front of it. I can't picture the second case. Please show me a ray diagram showing real image formation by a plane mirror or just explain the case of real image formation by...
Homework Statement
A container with a layer of water (n=1.33) of 5 cm thick is over a block of acrylic (n=1.5) of 3 cm thick. An observer watches (perpendicularly from above) the lowest surface of the acrylic. What distance does it (the bottom surface) seems to be from the top of the water...
Hey guys I am a first timer on PF, and I am very new to the whole physics area but I am starting to find it very interesting :smile:
Ive got a question about the optics of a normal camera lins of a mobile phone that perhaps someone can give me answares about of even point me in a direction...
There was a question on my exam. There is a green filter and blue light is directed to the filter. Normally It should pass through the blue light but my teacher says that we wouldn't be able to see it so the color we see would be black but I think it would be blue. What is the answer?
Homework Statement
3. A fiber optic cable is essentially a thin fiber of plastic with n = 1.46, surrounded by a protective material with n = 1.32. The light can travel around a bend in the fiber if it can internally reflect inside the fiber. If the diameter of the fiber is d = 0.900 mm find the...
Hi. I'm trying to proof the image formation property of a concave spherical mirror. I know you can do this easily with a particular choice of rays (namely one that hits the vertex and one that passes through the center of the sphere) but I would like to show that a generic ray yields the same...
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...
I have the following optical setup, in which the goal is to record the diffraction pattern of a sample on an image detector some distance away. In this particular case, the sample is sitting on a standard microscope glass slide.
Now, after recording the diffraction pattern, I numerically...
Homework Statement
Background from previous parts of the question: A simple isotropic dielectric occupies the region x>0, with vacuum in region x<0. I've found the wave equations for the electric field Incident, reflected and transmitted to prove Snell's law (Sinθ/Sinθ = c/c' = √εr) and the law...
So, I recently finished my refractor telescope. I have a objective lens of 80mm and focal length of 900mm, 70mm focuser, tube length is 99.8 cm. I have a 25mm and 9mm eyepiece.
I have been testing it out during the day time, on objects I can easily spot. First I use no eyepiece to focus on an...
What extra math courses should an undergrad take (or self-study) if they want to go into Quantum Optics or Condensed Matter theory?
I've already taken calculus, linear algebra, ODEs, PDEs, and complex analysis (I will also be doing a second course on linear algebra in two months time).
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...
I have drawn a diagram of the incident and reflected rays of an object by the concave mirror. Red color shows the incident rays, black color shows the normals drawn from the center of curvature, while green color shows the reflected rays. Shouldn't all the reflected rays meet at one point.
Any...
In the case of two fields interfering with each other when calculating the total electric field, cos (phi1-phi2 + kx) = cos( kx) where kx is the path difference between the two fields.
How does cos (phi1-phi2 +kx)=cos(kx) Isit just algebra?
Homework Statement
A triple-slit experiment consists of three narrow slits, equally spaced by distance d and illuminated by light of wavelength λ. Each slit alone produces intensity I1 on the viewing screen at distance L.
Consider a point on the distant viewing screen such that the path-length...
Homework Statement
I am studying for an Optics exam and in one of the practise tests is the following question: "Over what frequency range are Maxwell's equations valid?"
Homework Equations
Maxwell's Equations
The Attempt at a Solution
I've searched through my Griffiths Intro to...
Homework Statement
Light of wavelength λ = 450 nm is incident upon two thin slits that are separated by a distance d = 25 μm. The light hits a screen L = 2.5 m from the screen. It is observed that at a point y = 2.8 mm from the central maximum the intensity of the light is I = 55 W/m2.
a)...
Homework Statement
You are standing approximately 2 m away from a mirror. The mirror has water spots on its surface. True or False: It is possible for you to see the water spots and your image both in focus at the same time.
Homework Equations
p=object distance
q=image distance
The Attempt...
1. A real inverted image I of an object O is formed by a certain lens (not shown); the object—image separation
is d = 40.0 cm, measured along the central axis of the lens. The image is just half the size of the object,
a. What kind of lens must be used to produce this image?
b. How far from the...
Hello,
This question is from 1990 Turkey National Physics Olympics. I tried my best to translate it clearly.
1. Homework Statement
https://s23.postimg.org/cotn29afv/Hollow+Spherical+Glass.jpg
The sphere of radius 2R has an empty sphere inside with radius R. In order for the image of an object...
First of all i will post a picture of it ... you can find it ... somewhere
sorry this is my first post :I
I photographed our television with the flash on in order to recreate a strange patter i saw when looking at the suns reflection in the screen.(with my eyes it's not just the camera)
You can...
Hi, I'm a physicist intern that has some problems with Optics simulations; I'm very interested in doing some Beam Propagation Method (BPM) simulation, but the information online is not that good for begginers in the area. Can anyone advise me on books, journals or such that might help me learn...
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...
Homework Statement
White light (most intense at 550nm wevelength) shines on a layer of water (n=1.33) setting on a sheet of plastic film (n=1.25). What minimum thickness of water will produce destructive interference on the surface?[/B]Homework Equations
a) phase reversal of light reflecting...
According to my textbook the nonlinear Schrödinger equation:
$$\frac{\partial A(z,T)}{\partial z} = -i \frac{\beta_2}{2} \frac{\partial^2A}{\partial T^2} + i \gamma |A|^2 A \ \ (1)$$
can be cast in the form
$$\frac{\partial U(z,\tau)}{\partial z} = -i \frac{sign \beta_2}{2} \frac{1}{L_D}...
it is necessary to study the branch physics optics to use it in high energy physics , quantum mechanics and particle physics? To be more be more precise do use optics at all in these 3 ?
Homework Statement
In a double slit experiment, the distance between the slits is 0.2mm and the distance to the screen is 150cm. What is the phase difference in degrees, between the waves from the two slits arriving at point P, when the angular distance of P is 10 degrees relative to the...
Homework Statement
Light of a wavelength 548nm illuminates two slits separated by 0.25mm. At what angle would one find the phase difference between the waves from two slits to be 2 rads?
Homework Equations
σ / λ = ΔΦ / 2π
σ: path difference
λ: wavelength
Δφ: phase difference
The Attempt at a...
Homework Statement
(a) Calculate the minimum thickness of a soap bubble film that results in constructive interference in the reflected light if the film is illuminated with light whose wavelength in free space is λ=600nm. The index of refraction of the soap film is 1.33.
(b) What is the film...
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...
Hi All,
I am a student of Master of Technology course in Applied Physics, specializing in Lasers & Electro Optics from, India.
As part of the curriculum of the course, I have to do internship in an industry or a R&D Lab working in Lasers & Electro Optics.
I would be highly grateful to you all...
I understand that Wigner function is a quasi-probability distibution as it can take negative values, but in quantum optics I see that the Q function is mentioned as often. So what is the difference between the Q function and the Wigner Function?
Homework Statement
Two converging lenses, each of focal length 15 cm, are placed 20 cm apart, and an object is placed 30 cm in front of the first. Where is the final image formed and what is the magnification of the system?
Homework Equations
Mtot = M1 * M2
(1/f) = 1/do + 1/di
The Attempt at...
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...