All Questions
Tagged with optics mathematics
13
questions
-3
votes
1
answer
56
views
Why aren't all objects and their images same in size?
Suppose there is an object in front of a convex lens and we know that the light rays from each point on the surface of object will converge at a different point and form an image. So that means that ...
1
vote
1
answer
56
views
How close to reality is my handwaving argument about Fabry Perot interferometers?
Under this answer to https://astronomy.stackexchange.com/q/55437/7982 I wrote a comment where propose the uncertainty inequality roughly written1 as $\Delta E \Delta t \ge h$ or for photons $\Delta \...
- 6,263
0
votes
0
answers
19
views
Determine time taken for light to travel between points through circular, sub-wavelength aperture
Background
I'm working on numerically modeling some physical phenomenon using electromagnetics simulation software. I have a particular physical setup modeled, wherein I've noticed some non-intuitive ...
-1
votes
1
answer
231
views
How do you determine the handedness of the polarization vector of a beam of light?
The Wikipedia page on circular polarization says,
[For] polarization [as] defined from the point of view of the source...left- or right-handedness is determined by pointing one's left or right thumb ...
- 2,327
-2
votes
1
answer
84
views
Function must be discontinuous over $r=0$ due to physical impossibility [closed]
In this question it is asked what the upper-bound of the ratio of a solid object's surface area can be visible through direct, unaided observation.
The accepted answer says that there is no such upper-...
- 248
-1
votes
1
answer
45
views
Proof of the following derivate results
Anyone can help me proving the following
If x'=sx where s is a constant then
(d/dx') = (1/s)(d/dx)
- 155
1
vote
2
answers
505
views
Is Snell’s Law valid in this case?
When light travels in a perpendicular path from one medium to another medium of different optical density, is Snell’s law valid?
$\sin i$ and $\sin r$ are both 0, right?
So it isn’t valid.
Is this ...
- 139
1
vote
2
answers
457
views
A doubt in trigonometric approximation used in the derivation of mirror formula
The following text is from Concepts of Physics by Dr. H.C.Verma, from chapter "Geometrical Optics", page 387, topic "Relation between $u$,$v$ and $R$ for Spherical Mirrors":
If ...
- 5,306
1
vote
0
answers
75
views
What optical system could perform a multiplication/convolution of several rectangular pulses with different widths?
Statement
There is a following multiplication/convolution of $n$ rectangular pulses with different widths
$$
f(x)=\mathrm{rect}(c_1x)\ast\mathrm{rect}(c_2x)\ast\ldots\ast\mathrm{rect}(c_mx)
$$
or
$$
...
9
votes
2
answers
7k
views
Why Does Snell's Law use Sine Instead of Angle Values? [closed]
I recognize that Snell's Law relates indices of refraction and the angles of incidence and refraction, but why does the equation use sine to describe those angles and not simply angle values? It would ...
2
votes
1
answer
166
views
Are there Non-conformal maps encountered in Physics?
We always encounter Conformal maps in Physics, may be they are easier to study, but are there Non-Conformal transformations encountered in Physics anywhere?
if they are encountered, where are they ...
- 595
2
votes
1
answer
317
views
Given a size of a known object in the image, how can we calculate the size of other objects in the same image?
The question considers a very specific scenario in which we have an image with let us say, two rectangle objects. We know width and height of one object. How can we calculate the dimensions of the ...
- 21
3
votes
1
answer
48
views
Can a Chemical's Opacity be Deduced Mathematically?
all. I have tried Googling but have had no luck. My question is simple (although, I presume the answer is not): If one knows the chemical structure of, well, a chemical, could its optical properties (...
- 131