Optics is the branch of physics that studies the behaviour and properties of light, including its interactions with matter and the construction of instruments that use or detect it. Optics usually describes the behaviour of visible, ultraviolet, and infrared light. Because light is an electromagnetic wave, other forms of electromagnetic radiation such as X-rays, microwaves, and radio waves exhibit similar properties.Most optical phenomena can be accounted for by using the classical electromagnetic description of light. Complete electromagnetic descriptions of light are, however, often difficult to apply in practice. Practical optics is usually done using simplified models. The most common of these, geometric optics, treats light as a collection of rays that travel in straight lines and bend when they pass through or reflect from surfaces. Physical optics is a more comprehensive model of light, which includes wave effects such as diffraction and interference that cannot be accounted for in geometric optics. Historically, the ray-based model of light was developed first, followed by the wave model of light. Progress in electromagnetic theory in the 19th century led to the discovery that light waves were in fact electromagnetic radiation.
Some phenomena depend on the fact that light has both wave-like and particle-like properties. Explanation of these effects requires quantum mechanics. When considering light's particle-like properties, the light is modelled as a collection of particles called "photons". Quantum optics deals with the application of quantum mechanics to optical systems.
Optical science is relevant to and studied in many related disciplines including astronomy, various engineering fields, photography, and medicine (particularly ophthalmology and optometry). Practical applications of optics are found in a variety of technologies and everyday objects, including mirrors, lenses, telescopes, microscopes, lasers, and fibre optics.
Are the results of the Angular Spectrum Method and the Fourier Transform of a Fresnel Diffraction be different, or the same? Given the same distance between the input and output plane, and the same aperture.
I was given this equation:
##\frac{1}{\lambda f} e^{ikr^2f}##,
where ##\lambda## is the wavelength of light and ##f## is the focal length of the lens. I was told that it is called the "lens phase", but I have no luck in finding it using Google.
I suppose this is multiplied when a beam of...
Homework Statement
A helium-neon laser ( ##\lambda =633nm##), is built with a glass tube of inside diameter 1.0mm. One mirror is partially transmitting to allow laser light out. From an optical perspective, the laser beam is a light wave that diffracts through a 1.0mm diameter circular...
In fluorescence microscopy, dichroic mirrors reflect light under a critical wavelength (used to excite the sample) and transmit light over a critical wavelength (emission light from the sample). Are there mirrors that reflect two different wavelengths of light and transmit the rest? Essentially...
I'm trying to simulate the Fresnel Diffraction in MatLab using the Fast Fourier Transform syntax. But I'm not getting really good diffraction patterns. Here is the code:
%% Fourier Transform for G(p, q)
g = layer.*exp(((1i*pi)/(lambda*z))*(r_obj));
G = fftshift(fft2(g));
%% Fourier Transform...
Considering this system (from Wikipedia),
The Fresnel Diffraction at x, y, and z is
##E \left(x, y, z\right) = \frac{z}{i \lambda} \int \int^{+\infty}_{-\infty} E \left(x', y', 0\right) \frac{e^{ikr}}{r^2} dx' dy'##
where ##r = \sqrt{\left(x - x'\right)^2 + \left(y - y'\right)^2 + z^2}##...
Homework Statement
Consider an elliptically polarized beam of light propagating along the z axis for which the E field components at a fixed position z are:
Ex = E0cos(ωt) and Ey = E0cos(ωt +φ)
Find the major and minor axes of the ellipse in terms of E0 and φ and sketch the ellipse in the...
1. I have the following setting of free space than a lense and again free space
i need to solve for the output field as in the figure attached.
3. i used the fresnel transform once and then multiplied the field with the exponential and then convolved all the field. still couldn't make it to the...
Hi all,
When talking to some of our optics vendors, I got the impression that Ion Assisted Deposition (IAD) is standard. We use our optics at high power densities and we care about laser damage as well as adhesion and density of the coating (aka porosity, helps reduces sensitivity to humidity)...
Homework Statement
2009 it was 400 years ago, Galileo Galilei (1564-1642) for the first time turned his home-built telescope to the sky, and for this reason is celebrated this year the International Year of Astronomy a group of astronomers, optical engineers and teachers developed a Galilean...
Hi!
Assume paraxial rays. If I have a lens with a focal length ##f## and I place an object at the focal length to the left of the lens, the image will be at infinity. Correct? But will it be imaged in infinity to the left or right of the lens?
If I am looking into the lens from the right I...
Homework Statement
Basically, derive the formula ## m = \frac{ 25 cm}{f_e} \frac{L}{f_o} ## using ray matrices. This just has variable tube length and assumes eye to object distance is 25 cm.
Homework Equations
Ray matrices: ## \left[ \begin{array}{cc} 1 & d \\ 0 & 1 \end{array} \right] ##...
How do you know the shape (land altitude, roughness, etc.) of a specific location on Earth through a satellite? For example, if a specific place is covered by clouds is there a way to know the shape of the ground at this specific point?
I have read through the absorption spectra of the...
Homework Statement
A plane mirror is placed at the origin. A converging lens with a focal length of 5.00m is located at x=12.50m. A object is placed at x=22.5m
Find the final location of the image in terms of its X coordinate & magnification.
Homework Equations
1/q + 1/p = 1/f (lens)...
Homework Statement
A fish 2cm long is floating in a spherical glass fishtank with radius 20cm. The glass is 0.8cm thick and has index of refraction n=1.56. The index of refraction of water is 1.33. Find the apparent position and length of the fish.
Homework EquationsThe Attempt at a Solution
I...
Homework Statement
I need to find optical power (reciprocal focal length) of this system with thin lens
Homework Equations
I tried to solve this using spherical diopter equation
n1/a+n2/b=(n2-n1)/R
where a is object distance and b is image distance
The Attempt at a Solution
equation for...
Are there any real world uses for optical cavities.
Optical (or laser Cavities) description: where lasers continually bounce off two reflecting mirrors.
I'm at wits end. I hate WileyPlus. Part A, B and C are correct. I cannot figure out what Part D is -- all of the answers I am getting are wrong.
Homework Statement
Homework EquationsThe Attempt at a Solution
Hi. A spherical wave ##e^{i(kr-\omega t)}## diverging from a single point ##(x=0,y=0,z=-z_0)## can be approximated as a parabolic wave in the paraxial case around the z-axis. I.e., ##k r = k \sqrt{x^2+y^2+z^2} \simeq k (z +\frac{x^2+y^2}{2z})##.
OK, then let's say a lens is placed such that its...
Hey,
I was wondering, since for a convex lens the Fourier transform of a fields is in their real focus plane. Is it for a concave lens that the Fourier transform of a field is in the virtual focus plane?
I can't find any book or paper that talks about how concave lenses work in terms of...
I am experimenting with a LiDAR system, one of my goals is to detect falling objects. The scanning frequency is 100Hz with an angular resolution of 1°. I have been able to detect an object if it is a certain size or greater moving horizontally but I'm not sure what I should focus on to make sure...
Hey,
we are trying to couple the light of a 75 W Xe Arc Lamp (Hamamatsu L2194) into a 800um(0,8mm) diameter fiber bundle (7 fibers). Now we have 2 plano convex lenses (25mm diameter, 30mm EFL, edmund serial #45-364), the first for collimating the second for focusing onto the fiber.
We are...
Homework Statement
I've tried to attached the image of the diagram. If that isn't working please let me know.Height of incident marginal ray now 25. Assume a thin lens.
Find:
a. the effective focal length
b. the power of the lens
c. surface curvature for front and back surfaces (assume...
Homework Statement
A shoplifter is spotted using a convex mirror, in which the image appears to be 22.0cm behind the mirror, which has a focal length of 24.0cm. HIs apparent height, in this image, is 14.0cm tall.
A)How far away is the shoplifter from the mirror?
B) How tall is the shoplifter...
Homework Statement
There are three subquestions in this question, all marked bold.
Let's consider a gradient index lens of thickness ##d##, whose refractive index changes with the distance from the axis with the following formula
$$ n(r) = n_1 + a r^2 $$.
Determine the lens's focal length...
Homework Statement
You wish to obtain a magnification of -2 from a convex lens of focal length f. The only possible solution is to:
A) place a virtual object at a distance 2f/3 from the lens.
B) place a virtual object at a distance 5f/3 from the lens.
C) place a real object at a distance...
Hi, i am in second year of university and doing optics
I have a questions in one ofmy assignment :
Fresnel diffraction is observed behind a wire 0.37 mm thick, which is placed 2 m from the light source and 3 m from the observation screen. If the light of wavelength 630 nm is used, find, using...
Homework Statement
A)Find the final position of the image (from the object, I assume?)
B)Find the size of the final image of the object.
Homework Equations
1/f = 1/do + 1/di
The Attempt at a Solution
1) Solved first distance: 1/5 - 1/4 = 1/di --> 4/20 - 5/20, di = -20cm
2) Use di1 for do...
Hey guys first time poster.
I have written a 2D ray tracer in Mathematica. It's very basic, all it does is use Snell's law to trace ray refraction and very basic absorption. The set up is a central absorbing circle surrounded by circular lenses. The central circle is a perfect absorber, so if a...
Hey
I don't understand why multipath disspersion doesn't occur still when monochromatic lights are directed at a fibre obtic. (For example sending dozens of infrared waves at the same time). Wouldn't they still overlap and perhaps superpose?
Hello!
First of all I want to say that I am not a physicist, but an artist currently doing my master thesis.
I have been trying to build a solar powered slide projector. It works very simple – I reflect sunlight through a slide and enlarge it with a lens.
My problem was that I wanted more...
Homework Statement
(56th Polish Olympiad in Physics, II stage)
A photographer has a camera with a lens of focal ##f## with can be set to a value from the interval ##[f_{min}, f_{max}]##. The diameter of the diaphragm is ##d##.
The photographer wants to make a photo of a friend so that the...
Hi,
I'm working with a Digital Micro-mirror Device type SLM and my goal is to convert my laser from a gaussian to flat-head intensity profile. And then the tricky part is to make the beam oscillate up and down on the camera using just the SLM.
Apparently I was to naive to think that moving my...
I am trying to model a simple system, but the ray-tracing does not seem to be consistent with the analysis of the system in terms of Seidel aberration values. Here's the system layout:
When the system contains only the Eye model and the OL lens, it can be referred from the Seidel diagram that...
Homework Statement
See the image I uploaded.
Homework Equations
Paraxial approximations
The Attempt at a Solution
I think the image is formed after the ocular, and I understand the system is afocal. The magnification is also less than 1, but the angular magnification is >1.
What I am stuck...
Hi. As you guys know, an object-telecentric system (a system with constant magnification) has per definition an entrance pupil that is infinitely far away. One can construct such a system by taking a lens and placing an aperture stop (AS) at its focal point.
My issue is that I am struggling to...
Hi, I am a first time poster and I am completely lost with this question. Any help would be greatly appreciated
Filling the space between a contact lens and the cornea is a small quantity of liquid of refractive index of 1.336. Assuming the refractive index of the lens material is 1.490 find...
It is known that a magnifing glass can start a fire, but I don't fully understand the phenomenon and I have the next questions:
- Does the effect depend on the shape and the material of the lens you use?
- Where can I find some details about heat produced by light or particulary on this...
I can't seem to find the proof for the distance between the two parallel lines.
Homework Equations : Snells law: μ1sinθ1=μ2sinθ2
Sin (A+B)= sinAcosB + sinBcosA[/B]The Attempt at a Solution : tried using the parallel lines to get a result in terms of the initial angle of incidence ϑ, as the...
Homework Statement
At the aquarium where you work, a fish has gone missing in a 10.5m -deep, 9.45m -diameter cylindrical tank. You shine a flashlight in from the top edge of the tank, hoping to see if the missing fish is on the bottom. What’s the smallest angle your flashlight beam can make...
http://news.sciencemag.org/sites/default/files/styles/thumb_article_l/public/article_images/sn-gammarays.jpg?itok=vYTMw8My Researchers at Institut Laue–Langevin have found a way to bend gamma rays.
Gamma ray lenses, which theory had suggested were impossible, could be made from heavy elements...
When I deduct the the general form of wave equation, I noticed it has a second order partial derivative form. I am wondering why wave equation has a second order partial derivative form nor a first order partial derivative form?
Homework Statement
A thin converging lens made of glass (##n_g=1.55##) happens to have an inclusion of water (##n_w=1.33##) at the center. The lens surfaces have radii of curvature ##R_{out} = r_1=r_2=10m##, and the water inclusion has the shape of a diverging lens with radii of curvature...
Homework Statement
A stone lies to the very edge at the bottom of a pool. The pool is filled with water to the top. The person standing three meters away from the pool is 1 meter tall and he can see exactly the half of the stone. Calculate the depth of the pool.Homework Equations
Snell's law...
I am learning sky wave propagation and in my book, a relation between refractive index, dielectric constant and electro field strength is given.
\mu=\mu_0\sqrt{1-\frac{Ne^2}{\epsilon_0m\omega^2}}
Is this a form of Kerr opto-electric effect? How do you get this expression? If you think I cannot...
Homework Statement
[/B]
A parallel quadratic slab of glass (n = 1.55 and thickness d = 2 cm, L = 21 cm) rests on a large slab of glass (n = 1.55). To prevent the optical contact weld forming between the two polished surfaces, a small teflon ball (D = 1 cm) is inserted between the slabs on one...
Homework Statement
My final year project at university is to visualise the test section of a supersonic wind tunnel by schlieren method, though I'm having a bit of trouble setting it up.
The light source I am using is a halogen bulb, in an old lamp housing, with a condenser on the end with a...
So I've searched all over the internet for an explanation as to why when light of a certain wavelength hits an object, it absorbs it or reflects it. The best answer I've found is some light is absorbed and turned into heat, some is absorbed and re-emitted in the same direction (transmitted) and...