Microstrip antenna with heterogeneous dielectrica
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Microstrip antenna with heterogeneous dielectrica

 
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Christoph Hörterer
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Posted: Sat Dec 10, 2005 5:35 pm    Post subject: Microstrip antenna with heterogeneous dielectrica Reply with quote

Hi,
I'd need some help with the calculation and simulation of a rectangular
microstrip antenna.

The question is rather simple. We have a dielectrica of given thickness
and e_r. Now we shall combine it with another material with given e_r.
The thickness shall vary.
These two materials shall be stacked upon each other.

But how to calculate now a resulting e_r_total of both materials?

I know it is very basic and perhaps one should know it, but I can't
remind how to solve this.

Regards,
Christoph

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Bob Monsen
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Posted: Sat Dec 10, 2005 5:35 pm    Post subject: Re: Microstrip antenna with heterogeneous dielectrica Reply with quote

On Sat, 10 Dec 2005 05:24:49 -0800, Christoph Hörterer wrote:
<wants PCB antenna design help>

I stumbled across this recently. Thankfully, I didn't trip.

http://tinyurl.com/8xtmz

Regards,
Bob Monsen

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Christoph Hörterer
Guest





Posted: Sat Dec 10, 2005 11:47 pm    Post subject: Re: Microstrip antenna with heterogeneous dielectrica Reply with quote

Hi,
I'm sorry. I don't quite understand the mentioned page.
It doesn't really solve my problem.

I searching for a formular or a way how to calculate one epsilon_r from
two different dielectrica with different epsilon_r, as I have seen it
once with capacitors. But I can't remember how to calculate it.
It should be almost the same with microstrip antennas as the are
capacitors, no?

Perhaps I didn't describe my problem very precisely.

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Joe McElvenney
Guest





Posted: Sun Dec 11, 2005 1:35 am    Post subject: Re: Microstrip antenna with heterogeneous dielectrica Reply with quote

Hi,

Quote:

The question is rather simple. We have a dielectrica of given thickness
and e_r. Now we shall combine it with another material with given e_r.
The thickness shall vary.
These two materials shall be stacked upon each other.

But how to calculate now a resulting e_r_total of both materials?

In the simple case of two stacked dielectrics (e_r1 & e_r2) of

the same thickness, it would seem to me that the reciprocal of the
resultant e_r might just equal the sum of the reciprocals of both
e_r1 and e_r2. This follows from the simple formula for two
capacitors in series where the presence or absence of the central
plate doesn't change the capacitance.


Cheers - Joe
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Joe McElvenney
Guest





Posted: Sun Dec 11, 2005 1:35 am    Post subject: Re: Microstrip antenna with heterogeneous dielectrica Reply with quote

Hi,

Ten minutes later I found this -

http://www.phys.uri.edu/~gerhard/PHY204/tsl129.pdf#search='stacked%20dielectrics'

which uses the alternative form of the expression for two
capacitors in series. All you have to do now is to re-work the
expression for dielectric slabs of differing thicknesses.


Best of luck - Joe
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Christoph Hörterer
Guest





Posted: Sun Dec 11, 2005 9:35 am    Post subject: Re: Microstrip antenna with heterogeneous dielectrica Reply with quote

Thanks a lot. I think this is it. Just couldn't remember my physics
class ;-)

Regards, Christoph
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