Transverse Wave Polarization States - Ask a Question

In summary, transversal waves are defined as having a deviation vector perpendicular to the line of wave propagation and therefore have two possible polarization states. These states can be expressed as a linear combination of two vectors that are perpendicular to each other and the line of propagation. This is due to the fact that in 3-dimensional space, the set of all vectors perpendicular to a certain direction is 2-dimensional. In seismology, it has been recognized that transverse waves involve two scalar potentials, one related to the divergence of the strain field and the other to the curl of the strain field. The transverse wave is a higher order wave compared to the compressional wave and can be decomposed into two components, while the compressional wave only
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Hi all, i want to ask a simple question which is not so for me. Actually while studying transverse waves, a line is written:-"EACH TRANSVERSE WAVE HAS TWO POSSIBLE POLARISATION STATES". Can anybody tell me please which are those two possible polarisation states refer here (either up and down or something else).Please help
Thanks
 
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  • #2
The definition of transversal wave is that the deviation vector (or another vector quantity in a general case) is perpendicular to the line of wave propagation. Since our space is 3 dimensional, the set of all vectors perpendicular to a certain direction is 2 dimensional (a plane). Any vector in that plane can be expressed as a linear combination of 2 vectors, that are perpendicular to each other and the line of propagation: these are the 2 possible polarizations. For example: if the wave propagates in x direction, then the vector quantity lies in yz plane (if it is a transversal wave) so it can have a direction y or z (or a linear combination of them).
 
  • #3
The definition above is spot on. In seismology it was recognized by expansion of Newton's second law that by conservation of momentum, a disturbance in the strain of an elastic material will propagate a field of disturbance involoving two scalar potentials. One of these scalar potentials is involved with the divergence of the strain field and is manifest as a compressional wave, the other scalar potential relates to the curl of the strain field which is manifest as a transverse wave. Thus the transverse wave is an order higher than the compressional wave and can be decomposed into two components as opposed to the one which is sufficient to describe the directionality of compressionally induced particle momentum.
 

1. What is a transverse wave?

A transverse wave is a type of wave in which the particles of the medium vibrate perpendicular to the direction of the wave propagation. This means that the particles move up and down or side to side as the wave moves forward.

2. How does polarization affect transverse waves?

Polarization refers to the orientation of the transverse wave's oscillations. It can either be linear or circular. In linear polarization, the oscillations occur along one specific plane, while in circular polarization, the oscillations occur in a circular motion. This affects the direction of the wave's movement and can determine how the wave is transmitted and received.

3. What are the different polarization states of transverse waves?

There are three main polarization states of transverse waves: horizontal, vertical, and diagonal. In horizontal polarization, the oscillations occur along the horizontal plane. In vertical polarization, the oscillations occur along the vertical plane. In diagonal polarization, the oscillations occur at an angle between the horizontal and vertical planes.

4. How is the polarization of a transverse wave determined?

The polarization of a transverse wave is determined by the initial vibration of the particles that create the wave. This can be controlled by the source of the wave or by passing the wave through a polarizing filter. The orientation of the filter will determine the polarization state of the wave that passes through it.

5. What are some real-world applications of transverse wave polarization?

Transverse wave polarization has many practical applications, including in communication technologies such as antenna design, radar systems, and satellite transmissions. It is also important in optical devices, such as polarizing sunglasses and 3D movie glasses. Additionally, polarization is used in medical imaging techniques, such as MRI scans, to produce clear and detailed images.

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