You mean you have proven you will just search for whatever you think ill support you and post it without any concern for what it actually indicates, just like all the other references you have posted which do not support you at all and instead refute you.I told you that you do not understand the Sagnac effect.
My references are always the very best.
https://www.osapublishing.org/ol/abstract.cfm?uri=ol-6-8-401Sagnac effect in fiber gyroscopes
H.J. Arditty and H.C. Lefevre
Optics Letters, vol. 6, 1981
The Arditty/Lefevre paper is a classic in the field, the best.
Only someone who has not studied this subject can state anything else.
Notice how it states quite clearly that the shift is 4*A*w/c^2?The authors present TWO FORMULAS FOR THE SAGNAC EFFECT.
One has an area, the other one does not.
This is the entire point of the paper and of this discussion.
https://web.infn.it/GINGER/administrator/components/com_jresearch/files/publications/sagnac_AJP.pdfThe Sagnac effect and pure geometryAmerican Journal of Physics 83, 427 (2015)
Dr. A. Tartaglia and Dr. M.L. Ruggiero are two of the best known experts in ring laser interferometry and relativity in rotation frames in the world.
They present TWO FORMULAS for the Sagnac effect: amazingly and paradoxically these distinguished authors do not seem to infer the consequences of the two derivations.
The first formula, derived using differential geometry (page 3 of the pdf document), is this:
Δt = 4Aω/c2A = area enclosed by the path of the light beams
Then, the authors derive A SECOND FORMULA for the Sagnac effect, which DOES NOT feature an area:
This formula does not include the area at all, and is proportional to the VELOCITY of the light beams (and thus is proportional to the RADIUS of rotation).
Two different formulas, featuring two different physical descriptions.
This means that the formulas must be describing TWO DIFFERENT PHYSICAL PHENOMENA.
The first formula, which displays the AREA of the interferometer, is actually the CORIOLIS EFFECT formula:
https://www.ias.ac.in/article/fulltext/pram/087/05/0071Spinning Earth and its Coriolis effect on the circuital light beams
The final formula is this:
dt = 4ωA/c
2CAN YOU READ ENGLISH?
NO ENCLOSED AREA APPEARS IN THIS EXPRESSION.Your formula has AN AREA.
The SECOND FORMULA derived by the authors DOES NOT.
Here are your admissions that I am right:
But this is the CORIOLIS EFFECT formula:
It is saying what is known as the Sagnac effect is actually just the Coriolis effect.
If you want to call it the Coriolis effect instead, then go ahead, but the same arguments apply.
The "generalised Sagnac effect" for a FOC may be based upon a velocity
Your formula is completely different from Yeh's.BUT IT IS THE VERY SAME!!!
Here is my formula:
2(V1L1 + V2L2)/c2Let V
1 = R
1 x Ω
Let V
2 = R
2 x Ω
2(R1ΩL1 + R2ΩL2)/c2=
2(R1L1 + R2L2)Ω/c2THIS IS THE VERY SAME FORMULA DERIVED BY PROFESSOR YEH:
φ = -2(φ
2 - φ
1) = 4π(R
1L
1 + R
2L
2)Ω/λc
Since Δφ = 2πc/λ x Δt, Δt =
2(R1L1 + R2L2)Ω/c2MY FORMULA!
It is one the same formula.
Had the MGX or the RLGs features a different situation, then the formulas obtaind would have been different.
Yet they are the very same.
This means that they describe the same situation.
Start dealing with a rotating ring interferometer with normal mirrors.Of course.
For your information, PCMs act just like normal mirrors for the SAGNAC EFFECT.
The MPPC acts like a normal mirror and Sagnac interferometry is obtained.As I told you before, it isn't an experiment.Professor Ruyong Wang is the greatest expert in the world on FOC and PCMs.
His papers are the most referenced when it comes to the linear/uniform/translational SAGNAC EFFECT, using FOC and PCMs.
Are you saying that his derivation is not correct?
Why don't you write to Professor Wang and let him know of your opinion?
Rest assured that his derivation is absolutely correct.
https://arxiv.org/ftp/physics/papers/0609/0609202.pdfThe equation which expresses the relationship between interference fringes and time differences is F=dt[c/λ] (where dt = 4vL/c2).
This experiment shows us two important points. First, it confirms the phase reversal of a PCM and demonstrates the Sagnac effect in an arc segment AB, not a closed path. Second, it gives us important implications:
The result, φ = 4πRΩL/cλ, can be re-written as φ = 4πvL/cλ where v is the speed of the moving arc segment AB (where R is the radius of the circular motion, Ω is the rotational rate).
If we increase the radius of the circular motion as shown in Fig. 6, the arc segment AB will approach a linear segment AB, the circular motion will approach the linear motion, the phase-conjugate Sagnac experiment will approach the phase-conjugate first-order experiment as shown in Fig. 4, and the phase shift is always φ = 4πvL/cλ.
The result, φ = 4πRΩL/cλ, can be re-written as φ = 4πvL/cλProfessor Wang multiplies the radius by the angular velocity, AND NOT THE RADIUS BY THE LENGTH, like you have catastrophically just done.https://arxiv.org/ftp/physics/papers/0609/0609202.pdfPAGE 4
The phase-conjugate Sagnac experiment on a segment light path [16], not the closed path like that in the most Sagnac experiments, makes this argument even more
serious.
Here is reference [16]:
[16] P. Yeh, I. McMichael, M. Khoshnevisan, Appl. Opt. 25 (1986) 1029.
EXACTLY MY REFERENCE!!!
Professor Wang acknowledges that there IS NO CLOSED LOOP, NO AREA, in Professor Yeh's experiment.
The phase-conjugate Sagnac experiment on a segment light path [16], not the closed path like that in the most Sagnac experiments, makes this argument even more serious.And it gets even worse for you, just like I promised.
PAGE 5
This experiment shows us two important points. First, it confirms the phase reversal of a PCM and demonstrates the Sagnac effect in an arc segment AB, not a closed path. Second, it gives us important implications as analyzed below. (Although in the experiment [16], the flexible fiber path was rotating and the other optical parts were not, in a similar experiment [17] all optical parts were rotating together.) The result, φ = 4πRΩL/cλ, can be re-written as φ = 4πvL/cλ where v is the speed of the moving arc segment AB.
Here are references [16] and [17]:
[16] P. Yeh, I. McMichael, M. Khoshnevisan, Appl. Opt. 25 (1986) 1029.
[17] I. McMichael, P. Yeh, Opt. Lett. 11 (1986) 686.
Exactly my references!!!
First, it confirms the phase reversal of a PCM and demonstrates the Sagnac effect in an arc segment AB, not a closed path.The result, φ = 4πRΩL/cλ, can be re-written as φ = 4πvL/cλProfessor Wang multiplies the radius by the angular velocity, AND NOT THE RADIUS BY THE LENGTH, like you have catastrophically just done.The greatest expert in the world on FOC and PCMs, Professor Ruyong Wang does not multiply the radius by the length, on the contrary.
He multiplies the angular velocity by the radius, JUST LIKE I HAVE DONE.
Moreover, he plainly states that the interferometer used by Professor Yeh DOES NOT INCLUDE AN AREA AT ALL, it is a segment light path.
Your trolling is not working anymore.