Optics Definition and 999 Threads

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 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 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...

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...

Author: Hecht, or Hecht & Zajak, depending on the edition Title: Optics Amazon Link: https://www.amazon.com/dp/0805385665/?tag=pfamazon01-20 Cheaper, used, older edition: https://www.amazon.com/dp/B004HX9WXM/?tag=pfamazon01-20 Prerequisities: Electricity and magnetism; multivariable...

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?

I want to make a project for Optics Fair.It is an undergraduate level optics fair. Please give me some idea, if you do it will be very helpful for me.

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...