Any conditions or prerequisites on simultatin dielectric objects ?!

hello , i would like to simulate a design of a dielectric object , and while I am gathering documentation I have read that "the resonance frequency of a dielectric must be complex " , could you please comment on that because it is not clear for me , and if there is any other prerequisites I would be very grateful if you could mention them.
Best regards!

There are nice documentation on the web covering this subject, as this one: http://academy.cba.mit.edu/classes/i...vices/meas.pdf . Anyway, once calculations along frequency band can be done by computational methods, it is not clear what exactly do you need.

Thank you !
I need to know why the use of a complex frequency ? and let consider we are follow up with that sentence how should I define the resonance frequency should I say Fr = 7+0.14i ghz ?!

From successive measurements along the frequency axis, it is possible to infer a mathematical model for the dieletric constant, and this would no longer be treated in the Maxwell equations as a scalar, but vector value varying with the frequency. Anyway, such behavior occurs at bands of higher frequencies, in which many other effects besides this should be computed as well. This happens due to the delay in changing the dipoles within the dielectric, a kind of inertia, opposing to the varying field on its magnitude and polarity.

In multiplication or division operations, where both the frequency and the dielectric force are present as multiplying parameters, it would be necessary to transform this complex number value into its polar form, and so it would be easiest to calculate. Anyway, as you are referring to "simulation" I would have expected that you present a dielectric constant in the complex form as function of the frequency, not a constant value for a specific frequency, but I may have not understood what you want.

Hello!
no actually I am considering a lossless dielectric which means dielectric constant is a constant