[SOLVED] About effective parameters of metamaterials mu=n*z epsilon=n/z

[lingzi050]

hi ,i saw the relations that mu=n*z ,epsilon=n/z several times,but i don't know where them come from,and even where they can be used to.
So if here anyone know them ,please be kind to tell me .thanks in advance.

 

[tallface65]

You can determine this relationship very quickly. Note that n = refractive index = sqrt(e_r) and that z = sqrt(mu_0*mu_r/(e_0*e_r)).

Have fun

 

[ferdows]

hi
for information about that u can read chapter 1 of metamaterials books by nader engheta and the metamterial book of itoh

 

[lingzi050]

hi , tallface65
i have understood this question with u help. thank you very much !

lingzi

---------- Post added at 01:13 ---------- Previous post was at 01:10 ----------

hi ferdows ,
thanks your advice, i have found the book u mentioned. it really helpful .thanks again.
lingzi

 

[mamali]

just a quick note:

Note that n = refractive index = sqrt(e_r) and that z = sqrt(mu_0*mu_r/(e_0*e_r)).

n is not equal to sqrt (e_r); you can simply see that by multiplying sides of both equations: mu*epsilon=n*z*n/z=n^2 => n=sqrt(mu*epsilon). So the correct equation is n = sqrt (e_r*mu_r); however, as mu_r is in most cases very close to 1, most of the times you can assume n=sqrt(e_r); but thats not always the case.

 

[lingzi050]

hi
thanks mamali

your explanation is very usefull for me.


lingzi