UmbralRaptor changed the topic of #kspacademia to: https://gist.github.com/pdn4kd/164b9b85435d87afbec0c3a7e69d3e6d | Dogs are cats. Spiders are cat interferometers. | Космизм сегодня! | Document well, for tomorrow you may get mauled by a ネコバス. | <UmbralRaptor> egg|nomz|egg: generally if your eyes are dewing over, that's not the weather. | <ferram4> I shall beat my problems to death with an engineer. | We can haz pdf
<egg|anbo|egg> !wpn whitequark
* galois gives whitequark a distinguished かわいい meow
<egg|anbo|egg> !wpn -add:adj posh
<galois> Added adj 'posh'
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* raptop pokes Jackson with a canada goose
<raptop> ...did he introduce a method that looks like it should work on a whole class of problems, but actually only works on one(1)?
<raptop> Question 3 of http://complex.gmu.edu/phd/exam/EM-Jan-2020.pdf (which was also Q3 of the august 2019 exam)
<raptop> I tried using the method of images (which Jackson shows for dielectrics with infinite planar boundaries in section 4.4)
<raptop> I'm pretty sure that the image charge and the origional charge aren't supposed to be in the same place, but then maybe my assumption for the image-image charge seen from the inside has the wrong position?
<SnoopJeDi> raptop, what's represented by $z$? This work looks like it's done on-axis, but the PDF asks for all points in space
<raptop> SnoopJeDi: z is the axis, though I sort of stopped upon getting a contradictory result for the location of the image charge
<raptop> Uh, the potentials are for all space, but then I just looked at the on-axis cases to try to find the locations of the image charges, and, well
<SnoopJeDi> Hmm, okay I yanked my copy off the shelf and I'm looking in 4.4, and I see a problem that looks similar to your work in my 4.5 "Boundary-Value Problems with Dielectrics," but his example is a semiinfinite dielectric
<SnoopJeDi> "Clearly the simplest solution is that for $z < 0$ the potential is equivalent to that of a charge $q''$ at the position $A$ of the actual charge $q$"
<SnoopJeDi> "Sir, this is a Wendy's."
<raptop> Yeah, I was working on the assumption that one could do that thing with spheres and dielectrics that one can with spheres and conductors
<SnoopJeDi> hmm, is that in a previous section? I've forgotten basically all of this to be quite honest with you
<raptop> Apparently I'll need to end up with a few infinite series of spherical harmonics (well, legendre polynomials) instead?
<raptop> Somewhere in a previous section, yeah
<SnoopJeDi> let me see if I can find the conductor one and maybe I'll understand the approach better
<SnoopJeDi> oh, this is exactly problem 4.5(a) in my text
<raptop> hrm
<SnoopJeDi> which I think is the first edition?
<SnoopJeDi> raptop, does your chapter 4 have an example like this? "The second illustration of electrostatic problems involving dielectrics is that of a dielectric sphere of radius $a$ with dielectric constant $ε$..." on p.p. 133 of mine, accompanying equations that look close to the setup you'd want are eq. 4.54, 4.55 in mine
<SnoopJeDi> except for the fact that his problem has no charge
<SnoopJeDi> guess that means it's a nonstarter upon further consideration, but I think you want something closer to that
<SnoopJeDi> but I will try again to find the conducting spheres thing, I missed it in my scrub through sec 3
<raptop> let's see... my 4.4 is boundary value problems with dielectrics
<SnoopJeDi> yea I think it's been shuffled around since my ed.
<raptop> Examples include the infinite dielectrics with a planar boundary, a dielectric sphere in an infinite field
<raptop> There's also an illustration of a cavity in an infnite dielectric
<SnoopJeDi> yea those are the same examples I have. I think the second is closer geometrically to your problem than the first, but your work resembles the first closely
* raptop should probably grab some food and try an attemp with spherical harmonics then
<SnoopJeDi> raptop, have I shared Chris Pope's notes with you before? They are phenomenal and may be useful to you as you study in general: http://people.physics.tamu.edu/pope/EM603/em603-2019.pdf
<SnoopJeDi> namely section 4.8 at the bottom of pp.73, "We may also generalise the discussion"
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<SnoopJeDi> and 7.3.2 is following the not-quite-your-problem thing that I was pointing to in Jackson (we used Jackson for his course so the notes rhyme heavily, but he elaborates things much more than does Jackson)
<SnoopJeDi> so your solution should be of the form 4.138, but you need to apply the discontinuity at the surface of the dielectric
<SnoopJeDi> err, sorry, not those
<SnoopJeDi> although the line of reasoning there would let you chase it down by way of Green functions
<_whitenotifier-9244> [Principia] pleroy closed pull request #2663: Piecewise Poisson series - https://git.io/JJKBW
<_whitenotifier-9244> [Principia] pleroy pushed 14 commits to master [+0/-0/±31] https://git.io/JJKjh
<_whitenotifier-9244> [Principia] pleroy 7f4a7b9 - Specification of piecewise Poisson series.
<_whitenotifier-9244> [Principia] pleroy 6b6efbf - Implement Append and Evaluate.
<_whitenotifier-9244> [Principia] pleroy 0b4c4ca - All member functions.
<_whitenotifier-9244> [Principia] ... and 11 more commits.
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<_whitenotifier-9244> [Principia] RCrockford commented on issue #2400: History persistence lets .sfs files get very large - https://git.io/JJ6sc
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<SnoopJeDi> !wpn raptop
* galois gives raptop a cyclic int cat
<SnoopJeDi> raptop, how'd you make out with that problem?
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<_whitenotifier-9244> [Principia] pleroy reviewed pull request #2664 commit - https://git.io/JJ6D4
<_whitenotifier-9244> [Principia] pleroy reviewed pull request #2664 commit - https://git.io/JJ6DB
<_whitenotifier-9244> [Principia] pleroy reviewed pull request #2664 commit - https://git.io/JJ6DR
<_whitenotifier-9244> [Principia] pleroy reviewed pull request #2664 commit - https://git.io/JJ6D0
<_whitenotifier-9244> [Principia] pleroy reviewed pull request #2664 commit - https://git.io/JJ6DE
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<_whitenotifier-9244> [Principia] eggrobin reviewed pull request #2664 commit - https://git.io/JJ6y8
<_whitenotifier-9244> [Principia] eggrobin reviewed pull request #2664 commit - https://git.io/JJ6yi
<_whitenotifier-9244> [Principia] eggrobin reviewed pull request #2664 commit - https://git.io/JJ6yP
<_whitenotifier-9244> [Principia] pleroy opened pull request #2665: Tolerances for Clang - https://git.io/JJ6SU
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<_whitenotifier-9244> [Principia] Pending. Build queued… - 
<_whitenotifier-9244> [Principia] Pending. Building… - http://casanova.westeurope.cloudapp.azure.com:8080/job/Principia/4433/
<galois> Scientist Tech Help | Alt-text: I vaguely and irrationally resent how useful WebPlotDigitizer is.
<raptop> SnoopJeDi: uh, partial solution
<e_14159_> Freedom!
<raptop> e_14159_: you defeated the snake?
<e_14159_> raptop: Not yet. But my last working day was yesterday.
<raptop> grats I think
<SnoopJeDi> nice
<e_14159_> Thank you :-)
<_whitenotifier-9244> [Principia] eggrobin reviewed pull request #2664 commit - https://git.io/JJ69s
<_whitenotifier-9244> [Principia] Success. Build finished. - http://casanova.westeurope.cloudapp.azure.com:8080/job/Principia/4433/
<_whitenotifier-9244> [Principia] eggrobin synchronize pull request #2664: Collapsible manœuvres - https://git.io/JJKPF
<_whitenotifier-9244> [Principia] Pending. Build queued… - 
<_whitenotifier-9244> [Principia] Pending. Building… - http://casanova.westeurope.cloudapp.azure.com:8080/job/Principia/4434/
<_whitenotifier-9244> [Principia] eggrobin labeled pull request #2665: Tolerances for Clang - https://git.io/JJ6SU
<_whitenotifier-9244> [Principia] pleroy closed pull request #2665: Tolerances for Clang - https://git.io/JJ6SU
<_whitenotifier-9244> [Principia] pleroy pushed 2 commits to master [+0/-0/±2] https://git.io/JJ6Qv
<_whitenotifier-9244> [Principia] pleroy 34e9704 - Tolerances for Clang.
<_whitenotifier-9244> [Principia] pleroy 12497fe - Merge pull request #2665 from pleroy/Tolerances Tolerances for Clang
<_whitenotifier-9244> [Principia] Success. Build finished. - http://casanova.westeurope.cloudapp.azure.com:8080/job/Principia/4434/
<_whitenotifier-9244> [Principia] pleroy labeled pull request #2664: Collapsible manœuvres - https://git.io/JJKPF
<_whitenotifier-9244> [Principia] eggrobin closed pull request #2664: Collapsible manœuvres - https://git.io/JJKPF
<_whitenotifier-9244> [Principia] eggrobin pushed 3 commits to master [+0/-0/±6] https://git.io/JJ672
<_whitenotifier-9244> [Principia] eggrobin 4a5413a - collapsible manœuvres
<_whitenotifier-9244> [Principia] eggrobin 5238065 - After pleroy’s review
<_whitenotifier-9244> [Principia] eggrobin 6b44f7f - Merge pull request #2664 from eggrobin/minimize Collapsible manœuvres
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<UmbralRaptop> SnoopJeDi: I feel like I did something wrong https://photos.app.goo.gl/V3wfvor4QHPpcRg36