Scattering: destructive interference for large particles

In summary, the suppression of scattering in the perpendicular direction for large particles is due to the phenomenon of destructive interference between the multipole moments of the particle, as explained by Mie scattering theory.
  • #1
jennyjones
35
0
Can someone maybe explain me(or has a good link to a page where this is explained)
why scattering in perpendicular direction is suppressed by destructive interference for large particles.

i'm trying to understand mie and rayleigh scattering and don't really get why there is no scattering in perpendicular direction with large particles, so mie scattering.

I know the you have to look at the larger particle a multipolar particle, and the larger the particle is the more forward scattering there is. Again I'm not sure why this is!

Thanx,

jenny
 
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  • #2
The best explanation of the phenomenon of destructive interference leading to suppression of scattering in perpendicular directions for large particles can be found in the book "Scattering of Light and other Electromagnetic Radiation" by Myron K. Jacobowitz. In this book, Jacobowitz explains the concept of Mie scattering theory, which is based on the idea that a particle can be represented as a series of multipole moments, each of which radiates spherical waves in different directions. The waves produced by each of these multipole moments interfere with each other, leading to a net wave that has different magnitudes depending on the direction of the incident light. The interference between the multipole moments is constructive in the forward direction of the particle, leading to increased scattering in that direction, while it is destructive in the perpendicular direction, leading to decreased or no scattering in that direction. This explains why large particles tend to have most of their scattering in the forward direction.
 

1. What is scattering and how does it relate to destructive interference for large particles?

Scattering is the process by which particles or waves are deflected or redirected in different directions when they interact with other particles or obstacles. Destructive interference occurs when two or more waves or particles with opposite phases cancel each other out, resulting in a decrease in amplitude or intensity. In the case of scattering, destructive interference can occur when large particles interact with each other, causing a decrease in the scattered intensity.

2. What causes destructive interference in scattering for large particles?

Destructive interference in scattering for large particles is caused by the interaction of multiple particles with each other. When two particles collide, they can interfere with each other's waves, resulting in a decrease in the overall scattered intensity. This can occur when the particles are close to each other and their waves are in opposite phases, canceling each other out.

3. How is the amount of destructive interference in scattering for large particles determined?

The amount of destructive interference in scattering for large particles is determined by factors such as the size and shape of the particles, the distance between them, and their relative phases. These factors can be mathematically calculated using equations such as the scattering cross section, which takes into account the properties of the particles and their interaction with each other.

4. Can destructive interference in scattering for large particles be controlled or manipulated?

Yes, destructive interference in scattering for large particles can be controlled or manipulated through various means. For example, the distance between particles can be adjusted to change the amount of interference, or the particles can be given specific shapes or properties to alter their interaction with each other. This can have practical applications in fields such as material science and nanotechnology.

5. What are some real-world examples of destructive interference in scattering for large particles?

One common example of destructive interference in scattering for large particles is the phenomenon of "rainbow scattering", where the droplets of water in a cloud act as large particles and scatter light, causing a visible rainbow effect. Another example is the interference of sound waves from multiple speakers, which can result in areas of low or no sound intensity due to destructive interference. These principles are also utilized in technologies such as radar and sonar.

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