Dear my friends
I want to know about relationship between Mie theory and light polarization.
Could everyone help me?
Regards, Elmira
If you consider the treatment of the Mie scattering in the book by Van de Hulst (Light scattering by small particles (Dover, New York, 1981)), you will notice that the incident electric field is assumed to be polarised along the x-axis and the incident magnetic filed along the y-axis (see Sec. 9.22, beginning on p. 121, and note that ax and ay are the relevant polarization vectors). By considering two solutions of the problem, one as given and one as corresponding to a rotated polarization axes (say, corresponding to the polarization vectors a'x and a'y, where a'x is along ay and a'y along -ax) by linearity and the consequent application of the superposition principle one can obtain the relevant results corresponding to any arbitrary polarization of the incident fields (elliptic and circular; for elliptic polarization, the magnitude of a'x must be different from that of ax, and similarly as regards a'y and ay).
Incidentally, polarized light is also explicitly considered in the book by Hergert and Wriedt as well as that by Gouesbet and Gréhan, which I introduced last week.
See:
February 25th, 2014 The life of Gustav Mie and the development of the Lorenz-Mie solution to Maxwell’s equations
https://www.brainshark.com/malvern/vu?pi=zIpzZlnQjz5uTlz0
Mie theory deals with isolating the scattering in terms of 2 polarized components. Thus light scattered from a surface will be polarized even if the incident light is un-polarized.
Interesting question. Having made a large number of holograms my experimental feel says loss of polarisation causes a loss in phase contrast. So for small particles 0.2-4 ish micron coatings preferably in the Mie region (typical white paint) all the holograms worked fine.
We used to have a lot of trouble with human faces and the ruby wavelength, where the light is being de-correlated by the thickness human skin. For example for the University opera coach was given heavy stage makeup to provide an external false skin.
In 'I can feel the music' http://www.jtrolingerart.com/holography/criitique4.html The french horn has been sprayed with a fine particulate to remove bright burn from reflections from a polished surface. This was my last full size hologram 27 years ago. I look forward some day to making a digital holographic version.
Best regads
Peter
Peter Bryanston-cross
First question: is the 'cross' in your name actually lower case? Or, as I suspect, a typo (= typographical error)....
Similar effect with human hair and Mie theory allows it to be simulated in a more realistic fashion. See an article New Scientist in 2003 attached.
Hair Today - Gone Tomorrow
The music illustration
The 0.2 - 0.4 um white pigment is universally these days, TiO2. A favorite of mine:
Optical properties of the three forms of titanium dioxide http://tinyurl.com/pbgf9hj
For your information I have just added an image of the voice coach.
The question is:
If you look at he neck bone you can it vibrating as she sings. Could we ever use holography in any form to replace X-rays for localised bone fractures.
If there is a break it is accompanied with a sudden phase jump.
I have trouble in thinking of wave vectors (k) and polarisation P.
Consider an expanding plane polarised wave-front traveling in the z plane and I choose a plane in the xy plane will the polarisation vary with the angle of (k) the wave vector|)? ie with for example do the components of k ky kx & kz each have an associated component of polarisation?
In the case of edge diffraction which required matched polarisation to form interference fringes, the resulting superposition would imply a loss in contrast with expanding angle and a loss of polarisation coherence?
Can you please enlighten me here. Is this correct. I am trying to think in terms of the propagation of polarisation through a thin lens filled with sparse distribution Mie scattering particles.
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