Radio propagation is the behavior of radio waves as they travel, or are propagated, from one point to another, or into various parts of the atmosphere. As a form of electromagnetic radiation, like light waves, radio waves are affected by the phenomena of reflection, refraction, diffraction, absorption, polarization, and scattering. Understanding the effects of varying conditions on radio propagation has many practical applications, from choosing frequencies for international shortwave broadcasters, to designing reliable mobile telephone systems, to radio navigation, to operation of radar systems.
Several different types of propagation are used in practical radio transmission systems. Line-of-sight propagation means radio waves which travel in a straight line from the transmitting antenna to the receiving antenna. Line of sight transmission is used for medium-distance radio transmission, such as cell phones, cordless phones, walkie-talkies, wireless networks, FM radio, television broadcasting, radar, and satellite communication (such as satellite television). Line-of-sight transmission on the surface of the Earth is limited to the distance to the visual horizon, which depends on the height of transmitting and receiving antennas. It is the only propagation method possible at microwave frequencies and above.At lower frequencies in the MF, LF, and VLF bands, diffraction allows radio waves to bend over hills and other obstacles, and travel beyond the horizon, following the contour of the Earth. These are called surface waves or ground wave propagation. AM broadcast stations use ground waves to cover their listening areas. As the frequency gets lower, the attenuation with distance decreases, so very low frequency (VLF) and extremely low frequency (ELF) ground waves can be used to communicate worldwide. VLF and ELF waves can penetrate significant distances through water and earth, and these frequencies are used for mine communication and military communication with submerged submarines.
At medium wave and shortwave frequencies (MF and HF bands) radio waves can refract from the ionosphere. This means that medium and short radio waves transmitted at an angle into the sky can be refracted back to Earth at great distances beyond the horizon – even transcontinental distances. This is called skywave propagation. It is used by amateur radio operators to communicate with operators in distant countries, and by shortwave broadcast stations to transmit internationally.In addition, there are several less common radio propagation mechanisms, such as tropospheric scattering (troposcatter), tropospheric ducting (ducting), and near vertical incidence skywave (NVIS) which are used in specialized communication systems.
I am currently studying AS level physics and we have just started the waves module.
When describing light as a WAVE our teacher is telling us that particles are oscillating 90 degrees to the propagation of the wave.
What is acting at right angles to the propagation of the wave? As far as i was...
Homework Statement
One of the conditions that we must obtain for us to use the lumped circuit abstraction is that the timescale of interest in analysis of the circuit must be greater than the speed of electromagnetic propagation. What was discussed in class was how much greater. The answer...
Can anyone recommend a source of information that quantifies how wind shear effects the propagation of sound/noise?
I know the basics in that wind shear either bends sound waves upwards or downwards but I'm looking for something that helps calculate the effect.
Homework Statement
I want to know how to do error propagation on this
cNi= [-(mcΔt)Al-(mcΔt)H2O]/(mΔt)Ni
m is mass and Δt is change in temperature
Homework Equations
δc/c=√(δm/m)2+(δ(Δt)/Δt)2
The Attempt at a Solution
I know the above error prop eq. above applies to c=Q/mΔt...
Homework Statement
So I'm trying to calculate the error on the gradient I've obtained for my lab work. The line of best fit is too precise to use the parallelogram method and I'm still at the stage of my course where calculations of the gradient and such must be done by hand and not using a...
I am confused about calculating errors. I have learned if you take the variance covariance matrix \Sigma_{ij} of a fit of function f(x,p) to data for parameters p_i (for example by using Levenberg-Marquart) that the one sigma error interval for p_i is \sigma_{p_i}=\sqrt{\Sigma_{ii}} I only...
How does the Cut-Back method work experimentally? The Cut-Back Method is a method to determine the propagation losses of fibers or waveguides. I have found tons of articles stating they used this method in comparison but no detailed information on how one can execute it successfully...
for a wave of this type, for example:
f = cos(x+2y -vt)
What is then the definition of the direction of progation in the x-y plane? Because either way you go in the x-y plane the wave changes.
Homework Statement
I conducted an experiment which involves measuring two distances (Y and L) and have used tan to determine the angle, then finally calculated the sine of the angles for use in my analysis.
I have uncertainties in both length measurements and am unsure how to propagate the...
Homework Statement
Calculate the error propagation for the theoretical effective spring constant for the two springs. The actual values don't matter, it's just supposed to show how it would be calculated.
Homework Equations
ke=k1*k2/(k1+k2)
The Attempt at a Solution
ke=A*B/(A+B) (Let...
I would like to ask some questions to confirm if what I have acquired so far are correct, please point out my faults if any.
If all the below statements are too bulky to read, my question is actually as short as:
\psi (x) = A{e^{-j(kx - \omega t)}}
What is the propagation direction of this...
please help by telling me whether my approach to solve the problems are right or wrong. please refer to the ATTACHMENT for the questions and my approaches...
your help is highly appreciated!
I have problem regarding the propagation of error since the equations involving mixtures of multiplication, division, addition, subtraction, and powers. Please help me to clarify whether my attempts are right or wrong.
Homework Statement
I have problem regarding the propagation of error since the equation involve mixtures of multiplication, division, addition, subtraction, and powers. Please help me to clarify whether my attempts are right or wrong. Your help is highly appreciated. Thank you. PLEASE REFER...
Dear all,
Let me introduce the topic first, so this thread can be put in the most appropriate subforum. Belief propagation, also called message passing, is a method that communicates messages between nodes on graphical model (for example a Markov random field) and where the messages...
How can the mass of a hole is larger than an electron?I want to know what a hole signifies and the mass energy required for it to propagate in the semiconductors for constituting current.
You measure the mass of the cylinder to be m = 584.9 +- 0.5 grams, and you measure the length of the cylinder to be L = 18.195 +- 0.003 cm. Just like in the lab you performed, you now measure the diameter in eight different places and obtain the following results.
Diameter (cm)
2.125
2.090...
If I have two independent variables x,y, and two measurements, m1, m2 with errors. And the dependence is thus:
m_1 \pm \delta m_1 = f[x,y]
m_2 \pm \delta m_2 = g[x,y]
Now in my case, f and g are complicated expressions of x and y with no simple solution. (Actually I think i can...
I'm reading my course book on ELectromagnetism and it is talking about a wave moving in the y-z plane but with polarisation in the x-direction, and it says that the equation
$$\mathbf{E}=E_0 2i sin(k_0 z\ cos \theta) exp[i(k_0 y\ sin \theta - \omega t)]\mathbf{e}_x$$
Shows that there is no...
Hi,
When using data in calculations, errors can be introduced by the calculations themselves;
A common example of this kind of data is the atomic mass of some element; The data might be reported by NIST as: 190.233(20), which indicates that the mean is 190.233, and the maximum likelihood...
Homework Statement
This should be very simple:
Given the following (boundary frequency for photoelectric effect):
\nu = \frac{\phi}{h}
what would be the error on \nu?
Homework Equations
The Attempt at a Solution
\varphi and h are both determined through linear regression (y = mx + c). Where...
I am studying the vibrations in a coil spring, and want to confirm with others that my derivation is correct.
I found that for small oscillations the spring is described by the 1-D wave equation, with wave speed k*l^2/m. where k is the spring constant, l is the spring length, and m is the...
In my book on waves, it is said that, given a flexible string under tension, a derivation of the transverse velocity v can be given by viewing the string in a frame moving uniformly with a velocity equal to that of the wave itself. The velocity can be found by requiring the uniform tension of...
I was wondering if someone could please help me understand a simple problem of error propagation going from multiple measurements with errors to an average incorporating these errors. I have looked on several error propagation webpages (e.g. UC physics or UMaryland physics) but have yet to find...
This is my first post and I'll admit I probably don't even know enough to be dangerous. Any how what I have is a a 3' long 6" dia tube that is functioning as a muffler for a boat. It has two 4" dia inlets mounted perpandicular to the length of the tube at 28" on center and two 4" oulets mounted...
Hello all,
I have been trying to figure out a clear rule for parallel propagating vectors on spheres, such as in the wiki http://en.wikipedia.org/wiki/File:Parallel_transport.png. There seem to be lots of rules that are proposed in this forum and online, but they often don't work well to...
hi
i have some measured values that refer to a simple experiment where a stone was thrown along a fixed length and now i have these values for the time the stone needed
time 13.8 13.7 13.9 13.5 14.4 14.6 14.1 14.3 13.9 14.7
i was asked to explain how many decimal places one would write...
Hi guys,
So I'm writing up a physics lab and I have a bunch of data points. All of these data points have both x and y error bars. The relationship between x and y is linear and so I've made a line of best fit using Python passing through the data.
Now the slope of that line of best fit...
Suppose F = x/y
dF= \frac{\partialF}{\partialx}\deltax+\frac{\partialF}{\partialy}\deltay
This gives
dF=\frac{\deltax}{Y}-\frac{x}{y^2}\deltay
That is, the partial derivative of y comes out negative. Should i leave it as a negative?
I see no reason to take the absolute value of...
I have couple questions about this and I was hoping someone with some stats knowledge could clarify.
First, when people report numbers such as 10 plus or minus 5, what does the 5 mean? Is it the standard deviation or the confidence interval or the variance? What is the relationship between...
If we take a 1D uniform lattice I understand that we can derive a difference equation after using Hookes law and Newtons 2nd law as seen in the section labelled (Scalar wave equation in one space dimension, Derivation of the wave equation, From Hooke's law) in the link below...
I have a system of coupled ODEs which tells the propagation of power Pi in an optic fiber.
\frac{\partial P_i }{\partial z} = \left (N\sigma - 1 \right ) P_i
where
N = \frac{\sum_i \alpha_i P_i}{\sum_i \beta_i P_i + 1}
If the signals are copropagating, there is no problem since...
1. Why do waves propagates on a string? I mean, when we create a disturbance on one end, it affects all the string. How can it be?
2. How can there be a continuous flow of energy along a medium when the particles of the medium simply oscillate about their equilibrium positions?
3 Intuitively...
I'm figuring this belongs in quantum - sounds like a quantum effect.
http://www.opticsinfobase.org/abstract.cfm?id=63756
(my emph)
There's lots of papers like this ... also been in the blogosphere:
Sounds like some people are claiming to have done it for real...
I'm slightly confused about the speed at which "electricity" flows through neurite (i.e. dendrite etc) as per cable theory (http://en.wikipedia.org/wiki/Cable_theory). In standard electrical circuits, we have two velocities - the drift velocity of the electric charge and the velocity of the...
Homework Statement
A wave is driven at z=0 with constant real frequency ωr propagates in the z direction, for z>0 the amplitude varies as:
A = A_0 e^{i\omega_r - ikz}
where k is complex
k=k_r - i k_i
if a wave with spatially constant amplitude and purely real wavenumber kr were...
I am measuring an average signal through a range of filters and compute the standard deviation of that signal over a certain range on my image plate. Now I want to normalise all of the signals to an arbitrary filter signal - does the standard equation of uncertainty propagation hold...
What is the difference between normal modes and propagation modes?
I am confused. I know that normal modes are natural modes of vibration of a system. And, propagating modes are ... ?
Thanks.
I've read that ionosphere mirrors the short radio waves (25-30 MHz). So 2 questions:
Why this happens? There is material on the internet, but it's rather complicated for me so far, I've just started to study physics. So I'd appreciate if someone explains this in more or less simple way.
Why...
Im a visual person, and I have a strong interest in Physics for some reason too.
Im trying to picture how Gravitational waves would look not in Spacetime but in normal space.
Are they like concentric rings surrounding the source?
And how do they differ in shape when there are 2, 3 or more...
Hi
I can't proceed imagining the matter after this point...
For a propagating wave:
The medium particle gains energy to move.. Question 1: what makes the particle to move up or down, what is the force acting upon it. The wave sinusoidal pattern shape that travels across the medium...
how to prove that a wave given as A.exp[i (wt - kx) ] is moving in positive x direction ?
similarly, how to prove that a wave given as A.exp[i (wt + kx) ] is moving in negative x direction ?
Thanks a lot
My first posting after joining today so starting off "light" - I know a terrible pun but please be kind as I will ask a lot of basic and seemingly dumb questions from my simple mind in my quest to learn a lot as quickly as I can!
I will try to word this as best I can but, how exactly do EM...
I was just reading about EM wave propagation and had two questions I would appreciate an answer to.
1-I read how the electric and magnetic fields of an EM wave oscillate sinusoidally and perpendicular to each other and the direction the wave is traveling. Is there any significance or special...
Not sure if this is the right section to post this..
I have 3 measurements and was trying to take the average of the measurements and calculate the error of the average:
replicate 1 = 8.9 (+/-) 0.71mg
replicate 2 = 9.3 (+/-) 0.69mg
replicate 3 = 8.8 (+/-) 0.70mg
I get an average of 8.9333...
Not sure if this is the right section to post this..
I have 3 measurements and was trying to take the average of the measurements and calculate the error of the average:
replicate 1 = 8.9 (+/-) 0.71mg
replicate 2 = 9.3 (+/-) 0.69mg
replicate 3 = 8.8 (+/-) 0.70mg
I get an average of 8.9333...
Homework Statement
I am having trouble calculating uncertainty when a number is added to a value with uncertainty.
M = 350g
a = 0.624 \pm 0.001
µk = 0.07
g = 9.80 m/s2
Homework Equations
T = M*a + µk*M*g
The Attempt at a Solution
T = (350g)*(0.624 m/s2) +...