Does a Single Metal Stripe Reflect Polarized Light at the Angle of Incidence?

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Discussion Overview

The discussion revolves around the behavior of polarized light when interacting with a single metal stripe, specifically whether it can reflect polarized light at the angle of incidence or if an array of stripes is necessary for specular reflections. The scope includes theoretical considerations of polarization, scattering, and the physical dimensions of the stripe in relation to the wavelength of light.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • Some participants assert that only light polarized in the plane of the stripe is reflected, questioning if a single stripe can achieve reflection at the angle of incidence.
  • Others argue that the width of the stripe is crucial, suggesting that a single stripe may act as a scatterer, leading to re-emitted waves being spread over a wide arc rather than producing a specular reflection.
  • A participant mentions that a metal polarizer for microwaves works well with stripes of specific dimensions, raising the question of how to scale this for visible light wavelengths.
  • There is a discussion on the conditions under which a stripe can reflect specularly, with some suggesting that sufficient width (many wavelengths) is necessary for this effect.
  • One participant proposes that if the stripe is long enough and the polarization is aligned with its length, it may induce currents that could lead to re-radiation at the angle of incidence.
  • Another participant questions the rationale behind the need for electrons to oscillate freely, suggesting that the stripe's dimensions relative to the wavelength are critical for determining scattering behavior.
  • Some participants reference the behavior of half-wave dipoles and the radiation patterns associated with different stripe lengths, indicating a complex relationship between stripe dimensions and reflection characteristics.

Areas of Agreement / Disagreement

Participants express multiple competing views regarding the conditions necessary for a single stripe to reflect polarized light specularly. The discussion remains unresolved, with no consensus reached on the specific requirements for achieving such reflections.

Contextual Notes

Limitations include the dependence on the physical dimensions of the stripe relative to the wavelength of light, as well as the assumptions made about the behavior of electrons in the material. The discussion does not resolve the mathematical or physical principles governing these interactions.

Christofer Br
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I know that only light with polarization in the plane of the "stripe" gets reflected.
What i need to know is if a single metal stripe could reflect such polarised light at ONLY the angle equal to the angle of incidence or do only a whole array of stripes produce specular reflections?
Sources are welcome
Thank you

(PLEASE keep the "duplicate" button in the holster, I've looked the whole forum and couldn't find this question adequatly answered, and i really need to know)
 
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It depends how wide the stripe was. A metal polariser for microwaves will work well but the stripes are only a couple of mm wide and spaced by less than a half wavelength. How would you achieve that, scaled down for a wavelength of 600mn?
Also, a single stripe will act as a scatterer and any re-emitted waves will be spread around in an arc of up to 360°. You need a fair width (many wavelengths) to ensure you get a specular reflection (like a beam reflected a mirror)
What do you already know about polarisers?
 
Christofer Br said:
I know that only light with polarization in the plane of the "stripe" gets reflected.
What i need to know is if a single metal stripe could reflect such polarised light at ONLY the angle equal to the angle of incidence or do only a whole array of stripes produce specular reflections?
Sources are welcome
Thank you

(PLEASE keep the "duplicate" button in the holster, I've looked the whole forum and couldn't find this question adequatly answered, and i really need to know)
Here is a source:http://chriswalkertechblog.blogspot.com/2012/08/glare-and-polarized-light-in-machine.html
The polarizing effects you posted about do not occur when using a metallic reflecting surface.
 
sophiecentaur said:
It depends how wide the stripe was. A metal polariser for microwaves will work well but the stripes are only a couple of mm wide and spaced by less than a half wavelength. How would you achieve that, scaled down for a wavelength of 600mn?
Also, a single stripe will act as a scatterer and any re-emitted waves will be spread around in an arc of up to 360°. You need a fair width (many wavelengths) to ensure you get a specular reflection (like a beam reflected a mirror)
What do you already know about polarisers?
This question isn't really about polarizers;

i was pretty sure to achieve a specular reflection i only need the electrons to have enough room to fully oscillate in the plane of the electric field. Can you confirm that even with the width of one wavelength i would still not get a specular reflection? What about a case where light is incident at angle only in the plane of the length of the wire - since in this plane there are many wavelengths worth of conductor would the reflection be specular?
 
.Scott said:
Here is a source:http://chriswalkertechblog.blogspot.com/2012/08/glare-and-polarized-light-in-machine.html
The polarizing effects you posted about do not occur when using a metallic reflecting surface.
Sincerely i think the content of the link is unrelated; it treats essentially about how metallic objects preserve the polarisation of light by shifiting the phase of all incident light by pi/2 unlike other surfaces. It is the object of this question to determine if a single stripe from a polarizer reflects specularly as does an array of them - the whole polarizer.
 
Christofer Br said:
i only need the electrons to have enough room to fully oscillate
I wonder what your rationale was for that comment. How far do you think an electron (treated classically), oscillating at nearly 1000THz, could be displaced?
 
Christofer Br said:
I know that only light with polarization in the plane of the "stripe" gets reflected.
What i need to know is if a single metal stripe could reflect such polarised light at ONLY the angle equal to the angle of incidence or do only a whole array of stripes produce specular reflections?
Sources are welcome
Thank you

(PLEASE keep the "duplicate" button in the holster, I've looked the whole forum and couldn't find this question adequatly answered, and i really need to know)
If radiation falls on a metal rod just half a wavelength long, it excites current in the rod (except for the case where the radiation is exactly 90 deg polarised to the rod). The rod then radiates the energy into a plane of polarisation lying along its length.
In this way we can see that polarisation can be rotated, because an incident polarisation will have a component acting along the rod which will induce current.
The radiation pattern of the rod is that of a half wave dipole. If many rods are used then the pattern is that of a broadside array.
 
sophiecentaur said:
I wonder what your rationale was for that comment. How far do you think an electron (treated classically), oscillating at nearly 1000THz, could be displaced?
I was thinking about this particular case - usually authors state the in order to achieve geometrical scattering you need a flat surface larger than the wavelength (not specifying if it starts at the wavelength or some multiple of it). My logic was that it only really needs to be larger in the plane of the electric field since polarizers reflect the way they do and I always seen them reflect specularly on diagrams - therefore it appeared to be geometric scattering.
So, what about the previously mentioned case with reflection along the length of the stripe?
 
Christofer Br said:
I was thinking about this particular case - usually authors state the in order to achieve geometrical scattering you need a flat surface larger than the wavelength (not specifying if it starts at the wavelength or some multiple of it). My logic was that it only really needs to be larger in the plane of the electric field since polarizers reflect the way they do and I always seen them reflect specularly on diagrams - therefore it appeared to be geometric scattering.
So, what about the previously mentioned case with reflection along the length of the stripe?
If we have one stripe and the polarisation of the incident wave is along the stripe (in the same plane) then I believe the following occurs:-
1) If the stripe is much less than half a wavelength long. Very little radiation.
2) If the stripe is half a wavelength long. Radiation normal to the stripe, with a dipole pattern.
3) If the stripe is long. An oblique incident wave will induce currents in the stripe which are forced everywhere to be in phase with the wavefront as it hits the stripe. This will create re-radiation where angle of incidence = angle of reflection. However, if the stripe is less than half a wavelength wide, the re-radiation will be in a cone surrounding the stripe. The width of the conical beam is decided by the length of the stripe.
 

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