Building a polarizer from FR-4?

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    Polarizer Theory
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Discussion Overview

The discussion revolves around the feasibility of building a polarizer using FR-4 material, focusing on the theoretical implications of polarization changes in electromagnetic waves as they pass through different media. Participants explore the mathematical framework and material properties relevant to polarization, including birefringence and the indices of refraction.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant presents a theoretical framework suggesting that a TEM wave with an electric field in the X direction could achieve circular polarization after passing through a quarter-wavelength of FR-4, based on specific indices of refraction.
  • Another participant questions whether FR-4 is birefringent, noting that birefringent materials have different indices of refraction along different crystallographic directions.
  • A participant asserts that the mathematical model does not account for birefringence, indicating confusion about the application of n1 and n2 as they relate to a single medium versus multiple media.
  • There is a clarification that while birefringence is a property of certain materials, FR-4, being a woven glass reinforced epoxy resin, is not crystalline and thus not birefringent.
  • One participant emphasizes the need for clarity regarding the directions of n1 and n2 in the mathematical model, questioning how to interpret these indices in the context of a single medium.
  • Another participant points out that the EM wave is presumed to propagate in the z direction, which could imply a different context for birefringence compared to a simple slab of FR-4.
  • There is a discussion about proper attribution for sources, with one participant acknowledging the oversight in not initially providing a link to the referenced textbook.

Areas of Agreement / Disagreement

Participants express differing views on the birefringent properties of FR-4 and the interpretation of the mathematical model regarding polarization. The discussion remains unresolved regarding the application of these concepts to the construction of a polarizer.

Contextual Notes

Participants note limitations in the mathematical model, particularly regarding the assumptions about the medium and the directions of the indices of refraction. The discussion also highlights the need for clarity in the definitions and properties of materials involved.

yefj
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Hello , I have the theory from the books shown below where we can change the polarization of an incident wave.
suppose we have TEM wave where E field is in X direction.
so if n1=1 (vacuum) and n2=sqrt(4) )=2 FR-4
phi=(1-2)*(2*pi*lambda*0.25)/lambda=pi/2
so by this logic after quarter wavelength in FR-4 ,linear polarized wave will have circular polarization?
https://eceweb1.rutgers.edu/~orfanidi/ewa/ch04.pdf
1732911376512.png
 
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But is FR4 bi-refringent?
 
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Hello tech99,the math doesnt take it into account.
we have n1 and n2 and thats it.
Where did i go wrong?
Thanks.

rystalline materials may have different indices of refraction associated with different crystallographic directions. A common situation with mineral crystals is that there are two distinct indices of refraction, and they are called birefringent materials. If the y- and z- directions are equivalent in terms of the crystalline forces, then the x-axis is unique and i
 
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Hello n1 and n2 are not two different mediums as shown below but one medium ?
In the mathematical part shown below they didnt say in what direction we have n1 and in what direction n2.If its only one medium how can i know the directions in which the EM wave experienced n1 and n2?
Thanks.
1733148358867.png
 
yefj said:
Hello n1 and n2 are not two different mediums as shown below but one medium ?
In the mathematical part shown below they didnt say in what direction we have n1 and in what direction n2
Yes they did...

1733151587027.png


So presumably the EM wave is propagating in the z direction. When you have a material like that, you have birefringence:

https://en.wikipedia.org/wiki/Birefringence

That is different from when you just have a slab of FR-4 (which is not birefringent) that an EM wave encounters and passes through.

BTW, you should have given a link to the source of your screenshot in your first post, or at least said what textbook it was out of. Please take care to provide attribution for quotes and screenshots of copyrighted work in the future. Thanks.
 
Hello,As you can see below I did post a link to the original book webpage in the first post as shown in the photo.
Is it ok?
Thanks.

1733154196439.png
 
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Yes, I see that now. Sorry that I missed it!
 

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