Showing posts with label wave. Show all posts
Showing posts with label wave. Show all posts

28 May 2015

Properties of Light



Light is a unique thing. We can think of it terms of both waves and particles called photons. In this post, we are going to look at only the wave nature of light, or in general, all electromagnetic radiation of which light is only a small subset.


 


Electromagnetic radiation is made up of both electric fields and magnetic fields which propagate perpendicular to each other. The wave itself, moves in the third direction, perpendicular to the fields.




where B is the strength of the magnetic field, E is the strength of the electric field, and c is the speed of light (3x108 m/s)


 


So what exactly is a wave? Waves have maxima (crests), minima (troughs), and zero points (nodes).




We can also take a measure of a wave by looking at the distance between successive crests (or troughs) which we call the wavelength, represented by the Greek letter lambda (λ). This can be measured in meters, nanometers (10-9 m), or Ångstroms (10-10 m symbolized by Å).




Or we can look at a point in space and how long it takes two successive crests (or troughs) to pass that point in space. This is called the frequency, symbolized as either f or ν (Greek letter nu). This value can be measured in the inverse of seconds (1/s) or Hertz.




The cool thing about the wavelength and the frequency is that you can multiply them together to get the speed of the wave. In our case, for light, the speed is just c.


c= λ*ν


 


Lastly, when we are talking about visible light, we are talking about all light that can be seen by the human eye. They range in color from red to violet (ROY G. BIV), with the longer wavelengths and shorter frequencies closer to the red end of the spectrum and the shorter wavelengths with higher frequencies near the violet end.




For visible light, red is approximately 7000 Å and 430 terahertz (1012 Hertz). Violet is around 3000 Å and 1 petahertz (1015 Hertz). 


These will become important later on.


 


 

01 October 2014

The A Ring of Saturn

A close up of the A Ring. The Cassini Division lies between the A Ring and the B Ring, the Encke Gap (though the image says division) is within the A Ring, and the Roche Division separates the A Ring from the F Ring
Image Credit:
 
The A Ring of Saturn is the farthest of the main rings and the first one discovered. It is composed of material similar to that of the B Ring and therefore is bright. It is separated from the B Ring by the Cassini Division, and has similar structure as the B ring.

One of the main features of the A Ring is the Encke Gap, discovered by James Keeler when he was working at Lick Observatory near San Jose, California. (Keeler was working at Allegheny Observatory when he discovered the rings were not solid). The gap was named in honor of Johann Encke who had discovered that the A Ring was not uniformly bright. The gap is about 325 km wide and centered at 133,590 km from Saturn's center. It is kept clear by the orbit of a small moon, Pan, and contains at least three thin ringlets which are knotted due to the gravitational influence of passing moons.
Encke Gap (PIA06534)
Image Credit:

The Keeler Gap, named for James Keeler, was discovered by the Voyager probe and is about 42 km wide and 250 km from the outer edge of the A Ring. Daphnis orbits with the gap and keeps it clear, much like Pan with the Encke Gap. Daphnis actually is inclined with respect to the rings and actually causes waves at the edges of the gap.
Keeler Gap with Daphnis within. Notice the waves at the edges of the gap.
Image Credit:
 
Besides the gaps, there are many moonlets that orbit within the ring and helps create waves and spokes within the ring structure. They were first discovered in Cassini images and by 2008, over 150 moonlets have been identified. They were only discovered because of the influence their gravity has on the A ring. Based on evidence, there are possibly thousands of these small moonlets, no more than several kilometers in diameter. They orbit in a path that is only 3000 km wide at a distance of 130,000 km.

As you may have noticed, the rings themselves contain both divisions and gaps. The IAU (International Astronomical Union) defines a division as a separation between two distinct rings and a gap as a small opening in a ring itself. Hence the Cassini division divides the B Ring from the A Ring and the Encke Gap and Keeler Gap are gaps in the structure of the A Ring.