Difference between revisions of "Evanescent waves"

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As proposed by Aero on the NSF forums, the possibility that the thrust is occurring as a result of the generation/leakage of evanescent waves.
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Two different evanescent wave theories have been proposed at NSF, one for evanescent waves leaking to the exterior of the EM Drive and one for evanescent waves strictly confined to its interior:
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@Aero first proposed that evanescent waves ''leaked'' from the interior of the EM Drive through small gaps and produced an ''external'' evanescent wave near-field.  @Aero studied (with a MEEP 2-D model) the interaction of these evanescent waves with the environment around the EM Drive, for example the stainless steel vacuum chamber at NASA Eagleworks.  Shortly after this, Paul March reported at NSF conducting a test at NASA Eagleworks with the EM Drive outside the stainless steel vacuum chamber that exhibited measured thrust and thus may have nullified this hypothesis (several tests conducted by R. Shawyer and by Prof. Juan Yang may have also been conducted in environments were such interaction may have been nullified).  @Aero also proposed another hypothesis involving evanescent waves and tachyons (hypothetical particles travelling faster than photons).
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Later Desiato (@WarpTech) and Rodal proposed at the NSF forum that the EmDrive's tapered conical design causes a gradient in the electromagnetic field such that travelling waves (from the RF source) propagating towards the small end of the truncated cone are attenuated by the tapering geometry, producing evanescent waves that carry momentum. The EM Drive must then accelerate to satisfy conservation of momentum. The standing waves inside the EM Drive (responsible for the high Q resonance) are comprised of travelling waves propagating in opposite directions. (How the evanescent waves travelling toward the small end may benefit from the high Q stored energy density from the standing waves remains to be analyzed.) <ref>[http://forum.nasaspaceflight.com/index.php?topic=37642.msg1382031#msg1382031 Forum post by Rodal]</ref>
  
 
== Status ==
 
== Status ==
  
No longer considered a viable source of thrust.
 
  
== Evidence ==
 
  
Initial calculations by Aero were showing an efficiency rating 2-3 times that of a perfect photon drive, which is beneath the observed ratings of Q-thruster test articles.<ref>[http://forum.nasaspaceflight.com/index.php?topic=36313.msg1313876#msg1313876 Initial calculations by aero.]</ref>
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== Numerical Analysis==
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@Aero performed calculations for evanescent waves leaking from the EM Drive and producing an external near-field.  He used a two-dimensional MEEP Finite Difference model that modeled the EM Drive truncated cone as a flat trapezium.  Maxwell's equations were solved in the 2-D domain, thus the transverse electromagnetic vector could only be represented as a scalar.  The 2-D model was due to the enormous amount of memory and computer time required by the Finite Difference method, which made a 3-D model in a home PC impractical.  The results from the 2-D analysis showed a thrust force/input-power multiple of 2-3 times that of a perfectly collimated photon drive, which is significantly beneath the reported measurements of EM Drive by NASA Eagleworks, Shawyer's SPR and Prof. Juan Yang's team at NWPU.<ref>[http://forum.nasaspaceflight.com/index.php?topic=36313.msg1313876#msg1313876 Initial calculations by aero.]</ref>
  
Utilizing [http://ab-initio.mit.edu/wiki/index.php/Meep MEEP], the conclusion was that due to rapid dropoff at the frustum surface, evanescent waves were of insufficient magnitude to explain the observed thrust.<ref>[http://forum.nasaspaceflight.com/index.php?topic=36313.msg1330521#msg1330521 this post by @aero on modeled evanescent waves]</ref>.  See details about @aero's  [http://forum.nasaspaceflight.com/index.php?topic=37642.msg1382078#msg1382078 MEEP control file].
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Utilizing [http://ab-initio.mit.edu/wiki/index.php/Meep MEEP] 2-D model, the conclusion was that due to rapid dropoff at the frustum surface, evanescent waves were of insufficient magnitude to explain the observed thrust.<ref>[http://forum.nasaspaceflight.com/index.php?topic=36313.msg1330521#msg1330521 this post by @aero on modeled evanescent waves]</ref>.  See details about @aero's  [http://forum.nasaspaceflight.com/index.php?topic=37642.msg1382078#msg1382078 MEEP control file].
  
 
== Relevant Papers ==
 
== Relevant Papers ==
  
* "Electromagnetic fields and transmission properties in tapered hollow metallic waveguides" by Xiahui Zeng and Dianyuan Fan. Optics Express Vol. 17, Issue 1, pp. 34-45 (2009) •doi: 10.1364/OE.17.0
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* [https://www.osapublishing.org/view_article.cfm?gotourl=https%3A%2F%2Fwww%2Eosapublishing%2Eorg%2FDirectPDFAccess%2FCAAD3BE7%2DB96D%2D5276%2D041FDBDB0A54A3B5%5F175583%2Foe%2D17%2D1%2D34%2Epdf%3Fda%3D1%26id%3D175583%26seq%3D0%26mobile%3Dno&org= "Electromagnetic fields and transmission properties in tapered hollow metallic waveguides"] by Xiahui Zeng and Dianyuan Fan. Optics Express Vol. 17, Issue 1, pp. 34-45 (2009) •doi: 10.1364/OE.17.000034
 
* [http://arxiv.org/pdf/1308.0547.pdf "Extraordinary momentum and spin in evanescent waves"] by Konstantin Y. Bliokh, Aleksandr Y. Bekshaev, and Franco Nori - See Supplementary Table 1.
 
* [http://arxiv.org/pdf/1308.0547.pdf "Extraordinary momentum and spin in evanescent waves"] by Konstantin Y. Bliokh, Aleksandr Y. Bekshaev, and Franco Nori - See Supplementary Table 1.
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* https://en.wikipedia.org/wiki/Mie_scattering
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* http://thermopedia.com/content/137/
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* http://www.orc.soton.ac.uk/publications/theses/1460T_lnn/1460T_lnn_03.pdf
 
* [http://arxiv.org/pdf/0712.0347.pdf "Superluminal propagation of evanescent modes as a quantum effect"] by Zhi-Yong Wang, Cai-Dong Xiong, Bing He.
 
* [http://arxiv.org/pdf/0712.0347.pdf "Superluminal propagation of evanescent modes as a quantum effect"] by Zhi-Yong Wang, Cai-Dong Xiong, Bing He.
 
* http://wwwsis.lnf.infn.it/pub/INFN-FM-00-04.pdf - I like Appendix B
 
* http://wwwsis.lnf.infn.it/pub/INFN-FM-00-04.pdf - I like Appendix B

Latest revision as of 14:02, 9 August 2015

Two different evanescent wave theories have been proposed at NSF, one for evanescent waves leaking to the exterior of the EM Drive and one for evanescent waves strictly confined to its interior:

@Aero first proposed that evanescent waves leaked from the interior of the EM Drive through small gaps and produced an external evanescent wave near-field. @Aero studied (with a MEEP 2-D model) the interaction of these evanescent waves with the environment around the EM Drive, for example the stainless steel vacuum chamber at NASA Eagleworks. Shortly after this, Paul March reported at NSF conducting a test at NASA Eagleworks with the EM Drive outside the stainless steel vacuum chamber that exhibited measured thrust and thus may have nullified this hypothesis (several tests conducted by R. Shawyer and by Prof. Juan Yang may have also been conducted in environments were such interaction may have been nullified). @Aero also proposed another hypothesis involving evanescent waves and tachyons (hypothetical particles travelling faster than photons).

Later Desiato (@WarpTech) and Rodal proposed at the NSF forum that the EmDrive's tapered conical design causes a gradient in the electromagnetic field such that travelling waves (from the RF source) propagating towards the small end of the truncated cone are attenuated by the tapering geometry, producing evanescent waves that carry momentum. The EM Drive must then accelerate to satisfy conservation of momentum. The standing waves inside the EM Drive (responsible for the high Q resonance) are comprised of travelling waves propagating in opposite directions. (How the evanescent waves travelling toward the small end may benefit from the high Q stored energy density from the standing waves remains to be analyzed.) [1]

Status

Numerical Analysis

@Aero performed calculations for evanescent waves leaking from the EM Drive and producing an external near-field. He used a two-dimensional MEEP Finite Difference model that modeled the EM Drive truncated cone as a flat trapezium. Maxwell's equations were solved in the 2-D domain, thus the transverse electromagnetic vector could only be represented as a scalar. The 2-D model was due to the enormous amount of memory and computer time required by the Finite Difference method, which made a 3-D model in a home PC impractical. The results from the 2-D analysis showed a thrust force/input-power multiple of 2-3 times that of a perfectly collimated photon drive, which is significantly beneath the reported measurements of EM Drive by NASA Eagleworks, Shawyer's SPR and Prof. Juan Yang's team at NWPU.[2]

Utilizing MEEP 2-D model, the conclusion was that due to rapid dropoff at the frustum surface, evanescent waves were of insufficient magnitude to explain the observed thrust.[3]. See details about @aero's MEEP control file.

Relevant Papers

References