by Din » Tue Jan 07, 2025 1:04 pm
BobH wrote: ↑Tue Jan 07, 2025 9:54 am
So is a thin hologram Q=<10 (as you stated) or Q=<0.1?
It depends, specifically on the spatial frequency. I assume you can read. I was quoting Hariharan, so I'll repeat Hariharan:
""Small values of Q correspond to thin gratings.
However this criterion is not always adequate"
And, once again:
"However this criterion is not always adequate"
BobH wrote: ↑Tue Jan 07, 2025 9:54 am
Are transmission holograms necessarily "thin" (as you stated)?
Yes. The distinction is made dependent on the spatial frequency. If the Bragg condition is not met, then there is dispersion. The Bragg condition is given by equation 14 in Kogelnik, reproduced:
cos(φ - θ) = K/(2β)
where φ and θ are the angles between the K and ρ vectors, K is the grating vector and β is the propagation constant. If this condition is met, there is no dispersion, and the hologram is considered 'thick'. If this condition is not met, then there is no Bragg selectivity, and dispersion exists. In this case, the hologarm is considered 'thin'.
BobH wrote: ↑Tue Jan 07, 2025 9:54 am
Is Covestro's 16 micron material a "thin" material with visible light (again as you stated)?
Firstly, I did not state that a 16 micron material is necessarily 'thin'. I said that an absolute figure is invalid, since an absolute figure is meaningless. I know such sophisticated thinking must be difficult, do try and pay attention. Secondly, it depends on what you mean by "visible light". Light itself cannot be seen, only the interaction of light with matter. However, all 'light', when it interacts with matter is visible, assuming that the word 'light' refers to electromagnetic radiation in the range 400nm - 700nm, as determined by Maxwell's equations (
http://hyperphysics.phy-astr.gsu.edu/hb ... maxeq.html ). If the hologram on 16 micron material shows dispersion, it's 'thin', as stated above. If it meets the Bragg condition cos(φ - θ) = K/(2β), then it's thick. One more time: the defining condition is determined by the spatial frequency.
By the way, I don't see anywhere in the video that's the subject of this post any statement about "thin" or "thick" holograms. Therefore, this insistence on the difference between "thin" and "thick" has off topic, and is simply an extension of your hate-filled cyber-bullying. You clearly don't understand the point of dispersion relations or Bragg conditions.
If there are any more posts on this "thin" and "thick" differentiation, I will report it as bullying and hate messaging.
I repeat:
If there are any more posts on this "thin" and "thick" differentiation, I will report it as bullying and hate messaging.
[quote=BobH post_id=73375 time=1736261676 user_id=2166]
So is a thin hologram Q=<10 (as you stated) or Q=<0.1?
[/quote]
It depends, specifically on the spatial frequency. I assume you can read. I was quoting Hariharan, so I'll repeat Hariharan:
""Small values of Q correspond to thin gratings. [b]However this criterion is not always adequate"[/b]
And, once again:[b]"However this criterion is not always adequate"[/b]
[quote=BobH post_id=73375 time=1736261676 user_id=2166]
Are transmission holograms necessarily "thin" (as you stated)?
[/quote] Yes. The distinction is made dependent on the spatial frequency. If the Bragg condition is not met, then there is dispersion. The Bragg condition is given by equation 14 in Kogelnik, reproduced:
cos(φ - θ) = K/(2β)
where φ and θ are the angles between the K and ρ vectors, K is the grating vector and β is the propagation constant. If this condition is met, there is no dispersion, and the hologram is considered 'thick'. If this condition is not met, then there is no Bragg selectivity, and dispersion exists. In this case, the hologarm is considered 'thin'.
[quote=BobH post_id=73375 time=1736261676 user_id=2166]
Is Covestro's 16 micron material a "thin" material with visible light (again as you stated)?
[/quote]
Firstly, I did not state that a 16 micron material is necessarily 'thin'. I said that an absolute figure is invalid, since an absolute figure is meaningless. I know such sophisticated thinking must be difficult, do try and pay attention. Secondly, it depends on what you mean by "visible light". Light itself cannot be seen, only the interaction of light with matter. However, all 'light', when it interacts with matter is visible, assuming that the word 'light' refers to electromagnetic radiation in the range 400nm - 700nm, as determined by Maxwell's equations ( http://hyperphysics.phy-astr.gsu.edu/hbase/electric/maxeq.html ). If the hologram on 16 micron material shows dispersion, it's 'thin', as stated above. If it meets the Bragg condition cos(φ - θ) = K/(2β), then it's thick. One more time: the defining condition is determined by the spatial frequency.
By the way, I don't see anywhere in the video that's the subject of this post any statement about "thin" or "thick" holograms. Therefore, this insistence on the difference between "thin" and "thick" has off topic, and is simply an extension of your hate-filled cyber-bullying. You clearly don't understand the point of dispersion relations or Bragg conditions.
[b]
If there are any more posts on this "thin" and "thick" differentiation, I will report it as bullying and hate messaging.[/b]
I repeat:
[b] If there are any more posts on this "thin" and "thick" differentiation, I will report it as bullying and hate messaging.[/b]