MathGroup Archive 2003

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Laplacian and curlcurl with maxwells eqn's

  • To: mathgroup at smc.vnet.net
  • Subject: [mg41780] Laplacian and curlcurl with maxwells eqn's
  • From: "Chris Williams" <bone_thugz_69 at hotmail.com>
  • Date: Thu, 5 Jun 2003 07:31:25 -0400 (EDT)
  • Sender: owner-wri-mathgroup at wolfram.com

Suppose i was to define two functions electricE and magneticH as some values that satisfied div electricE = 0, div magneticH = 0, curl electricE = -1/c(dH/dt) curl magneticH = -1/c(dE/dt)
how would i then use these equations to say find the laplacian value of E  H which should equal -1/c^2(d^2E/dt^2) and -1/c^2(d^2H/dt^2) respectively
i am also having trouble proving that curlcurlE and curlcurlH equal -1/c^2(d^2E/dt^2) and -1/c^2(d^2H/dt^2) respectively
i know how to do it by hand, but am relatively new to mathematica ... any help is greatfully appreciated! thank you


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