(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Show that the real and imaginary parts of the wavenumber, k, are given by

k(real)=[sqrt(epsilon(real))]omega/c

and k(imaginary)=[epsilon(imaginary) *omega/(2c sqrt(espilon(real)))

3. The attempt at a solution

k^2= mu epsilon omega^2 (1+(i g/epsilon*omega))

k^2 (real)=sqrt (mu epsilon omega^2)

=sqrt(mu epsilon)*omega

=sqrt(mu epsilon(real) epsilon0) omega

=(1/c)sqrt(epsilon(real)) omega

k^imaginary =(mu epsilon omega^2 i g)/(epsilon omega)

=mu omega i g

g is approximately epsilon omega

k^2(imaginary)=mu omega i epsilon omega

k=sqrt(mu epsilon) omega sqrt(i)

=(1/c) omega sqrt(i)

=(1/c) omega (1/(sqrt(2)))(1+i)

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# Homework Help: Show that the real and imaginary parts of the wavenumber, k, are given by

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