Homework Statement
Show that the displacement current density which flows when a parallel plate capacitor gets charged is ε(dE/dt) where ε is the permittivity of the medium between the capacitor. What is the energy density stored in the capacitor and the force per unit area (pressure) on the...
Homework Statement
Calculate the matrix for the optical system which takes rays from the object plane
to the image plane for a simple lens and show how this leads to 1/v = 1/u + 1/f
Also show that the matrix can be written in the form
\left[ \begin{array}{cc} 1/M & b \\ 0 & M...
1.An illuminated arrow 2 cm high is placed 108 cm from a diverging lens of focal length-36 cm. Find the position and height of the image.
The answers are supposed to be -27 cm and 0.5 cm.
Any help would be great.
Thanks:!)
θHomework Statement
The sun of (diameter D) subtends an angle of θ radians at the pole of the concave mirror of focal length f. The diameter of the image of the sun formed by mirror is _____
Homework Equations
1/v+1/u=1/f
The Attempt at a Solution
confused with question. Either i...
Homework Statement
Given two counter propagating monochromatic electromagnetic plane waves with equal strength and frequency but orthoganal polarization, (one is y polarized, the other is z polarized). More specifically, the z polarized wave is traveling in the positive x direction and the y...
I'm looking for a good laser for optic experiments.
All the professional papers I've read show the use of a 351nm Argon Ion laser. A new 30 mW one of these is about $6,000, but I see used ones pop up on Ebay from time to to time.
My question is, is there a difference between this laser used...
Well, This isn't a homework , but today in class we talked about how lights shining on a object produce different color. But I do not know what color it produces??
I know that Primary colors of light are red green and blue. Secondary are magenta and cyan and yellow.
If we have a red cherry...
Dear Forum,
Consider an object, illuminated with coherent light, that is located very far away from a positive lens.
The object is considered to be at "optical infinity" (its distance is simply very large compared to the focal length of the lens).
In that case, the image of the object (real...
My physics dept offers an optics class with the following descriptive summary:
Geometric optics, periodic and non-periodic waves; Doppler effect; interference and diffraction, diffraction gratings; theory of polarization of light; fiber optics and introduction to lasersIt says the math you need...
Hello. I am currently taking Physical Optics and I do not particular like the textbook I am using and was wondering if anyone had any recommendations on study tools (books or websites) to help me with what we are learning.
The class is of the undergraduate level, and the book we are using...
Homework Statement
Hi
This isn't homework, but something I've wondered about. I post it here, because it might be helpful to others. Say I am looking at the attached optical system:
I have polarized light in the plane. Then it hits a lambda/4-plate, where the angle between the fast axis...
Hi. Was wondering if anyone could recommend some good introductory quantum optics textbooks? I have a good grounding in quantum mechanics, but have never looked at quantum optics.
Basically my problem is that I am doing my project work in this field(to start in a couple of months) and have...
Until today I learned in geometric optics that
Object distance +ve for real object else -ve
Image distance +ve for real image else -ve
Radius of curvature +ve for if light comes to the surcace from the side lying center of curvature else -ve
On the basis of this the lens formula...
I've been thinking about getting into something in Optics, but I don't know anything about the different courses and such. Anyone here have any suggestions or know a good source of info on getting into optics?
Dear all,
I'd like to know if there is a way of reducing an image and launching it into the core of an optical fiber.
By other words, I'm not interested in the spatial distribution of the light (the image itself) but I'm interested in gathering all the light coming from the scene and...
Homework Statement
Hello, I am reading an intro book on optics and it is discussing the polarization of light and unpolarized light. My question is with unpolarized light I quote:
"This sinusoidally varying electric field can be thought of as a length of rope held by two children at...
Hello, I have recently been looking into purchasing this book. I know it’s only ten dollars, but money is money, and if some of you pleasant people have any experience with this book I’d appreciate any feedback (of the book). Thank you and have a Merry X-mas. :-p
My big problem here is with the geometry...
Homework Statement
I just took a picture of the problem. It's 15-10.
http://img839.imageshack.us/img839/9712/optics.jpg
Homework Equations
n_1sin\theta_1=n_2sin\theta_2
n_{\bot}=1.6584
n_{Parallel}=1.4864 (I can't find the Parallel sign)
The...
Homework Statement
http://quantum.leeds.ac.uk/~almut/section2.pdf
Please note i am referring to the above notes
I basically don't get how the maths works to get
(eq(25))(eq(22))(eq(24)) = eq(26)
am i missing something interms of the commutator relations ?
Homework Equations
The Attempt at a...
Homework Statement
Call the irradiance at the center of the central Fraunhofer diffraction maximum of a single slit I_0 and the irradiance at some other point in the patterm I. Obtain the ratio I/I_0 for some point on the screen that is 3/4 of a wavelength farther from one edge of the slit...
Homework Statement
Newton's rings can be seen when a planoconvex lens is placed on a flat glass surface. For a particular lens with an index of refraction of n= 1.51 and a glass plate with an index of n= 1.78, the diameter of the third bright ring is 0.760 mm.
If water (n= 1.33) now fills...
When we derive the relations between image distance(v), object distance(u) ond focal length(f) for mirrors or lenses (1/v+1/u=1/f and 1/v-1/u=1/f respectively), using the concept of similar triangles and alternate exterior angles, in the last step we apply standard sign conventions to get the...
Homework Statement
The Lick Observatory has one of the largest refracting telescopes, with an aperture diameter of 36 in. and a focal length of 56 ft. Determine the radii of the first, second, and third bright rings surrounding the Airy disc in the diffraction pattern formed by a star on the...
Hi,
http://imageshack.us/photo/my-images/141/optica.png/
The sphere in the picture is made of glass with n = 1.60.
The curved side of this sphere is a mirror. The question is why we see two images of the black dot.
Homework Equations
Snells law?
The Attempt at a Solution
One...
Unfortunately, I've been blowing this class off this semester. Instead, I've been focusing more of my attention on my math classes. I'm a math major. This Optics course is the last class I need for the physics minor. Of course, the semester is over in just a few weeks, and I need to make better...
Homework Statement
A point source of light P that is located in a medium 1 with refractive index n1, and its
image O in the medium 2 with refractive index n2 > n1. The
boundary between the two media crosses the plane of the drawing along the curve B. Taking the position of the image as an...
1. Two 25.0 cm focal length converging lenses are placed 16.5 cm apart. An object is placed 35.0 cm in front of one lens. Where will the final image formed by the second lens be located?
I got the right answer but I'm not sure why the image distance is negative when the image (formed by the...
A pin AB, 1cm long, is placed at an angle to the principal axis in front of a concave mirror, of focal length 5cm. Point B lies on the principal axis at a distance of 4 cm. Point A is such that the angle ABP is 60°, where P, the pole, is the point where the principal axis intersects the mirror...
Homework Statement
The length of each side of an opaque cubic container is 5 cm and a coin is placed at the center of the base as shown. At this instant, the observer is unable to see the coin. However, the coin can just be seen when the container is fully filled with liquid A. Find the...
Whenever there is natural light, you always assume the amplitude is 1/2 of the incident light amplitude after the first polarizer, right?
http://i111.photobucket.com/albums/n149/camarolt4z28/a1.png
http://i111.photobucket.com/albums/n149/camarolt4z28/IMG_20111030_161325.jpg
Homework Statement
For a lens with a focal length f, find the smallest distance possible between the object and its real image.
Homework Equations
1/s + 1/s' = 1/f
The Attempt at a Solution
I tried plugging in different numbers for the solution, but I'm not sure how to reach the...
Using Optics To Make An Aircraft "Invisible"
Homework Statement
Does it seem possible (or practical) to make airplanes invisible to microwave radar by applying some kind of anti-reflection coating?
Homework Equations
The Attempt at a Solution
I'm not sure what to say for this. I...
Homework Statement
Given a cellphone layered with an anti reflection film with width L. A ray denoted with lambda hits the screen and some of the ray passes through while some of it reflects off from both inside the film and where the ray hits the film. The index of reflection from top to...
sorry, no specific homework question, although it is related to my homework in general. I don't understand what makes an image real or virtual.
thanks for the help :)
joe
I'm really rusty on waves. What characteristics am I looking for? With respect to its variables, doesn't a valid wave equation have to contain only linear terms in its argument(s)?
http://i111.photobucket.com/albums/n149/camarolt4z28/IMG_20111009_211512.jpg?t=
Optics -- plane mirror
Homework Statement
Revered members,
Kindly see my attachment. I don't understand the role of dotted lines in the diagram. Actually , DA, EC and NB are perpendicular bisectors. In the first place, why should we draw perpendicular bisectors? Can't we solve the problem...
Hello everyone! I bought a Spectra Optics telescope 1400X150 (reflector) for 260 Euro a few days ago and I had quite big expectations on it. The including oculars was on 25mm and 6.5 mm. But when I was going to look at Jupiter recently, then I didn't get a more visible view than a little dot and...
An object is 9.79 cm from the surface of a reflective spherical Christmas-tree ornament 8.96 cm in diameter.
What is the position of the image? Answer in units of cm
I know that i need the radius of curvature to find the position of the image, but I'm not sure how to get that from the...
I'm studying for the GREs, and I ran across this problem:
Object located at x=0
Lens 1 located at x=40cm
Lens 2 located at x=70cm (30cm from lens 1)
f1 = 20cm
f2 = 10cm
Both lenses are converging, thin lenses. So I have to find the final image location.
The understanding I have of multiple...
The theory seems simple. Light strikes the film in a camera, or a CCD and the different regions of intensity are recorded. But what I can't get my head over, is how a different portion of the film strip or CCD *knows* which part of the image it is supposed to be representing.
For example, if...
Homework Statement
A lamp is placed in the center at the bottom of a 2m deep swimming pool. The lamp emits light in all directions. Starting from a point directly above the lamp, a man in a canoe paddles until he no longer can see the lamp. How far did he paddle the canoe? Assume that the...
Homework Statement
Two identical, thin, plano-convex lenses with radii of curvature of 15 cm are situated with their curved surfaces in contact at their centers. The intervening space is filled with oil of refractive index 1.65. The index of the glass is 1.50. Determine the focal length of...
Homework Statement
I asked for help on the concept of this problem in another forum section on this site. I went through the problem and I am getting an answer that KIND OF makes sense, but not really..
The problem says..
A small goldfish is viewed through a spherical glass fish-bowl 30...
I am having trouble conceptualizing and drawing situations that involve glass, or any other medium that light travels through and doesn't totally reflect like mirrors. For example, say I have an object in a glass bowl of some sort. I know that the light rays will travel until they hit the...
These problems are from my JUNIOR-level class. Don't move this one. I'm very rusty in Optics. It's supposed to be taken after University Phys II, but I took that three years ago.
For A1, I'm not sure how to setup this problem. Do I need to take into account all three index of refractions...
Homework Statement
Determine the minimum height of a wall mirror that will permit a 6ft person to view his or her entire height. Sketch rays from the top and bottom of the person, and determine the proper placement of the mirror such that the full image is seen, regardless of the persons...
Homework Statement
Hi, I am trying to work through exercise 2.1 on page 37 of Microcavities (by alexy kavokin, jeremy baumberg, guillaume malpuech and fabrice laussy)
the problem is to prove
| g^{(1)}(\tau) | = | cos( \frac{1}{2}(\omega_1 - \omega_2)\tau) ) |
where...