{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

ELEG413lec3

# ELEG413lec3 - ELEG 413 Lecture#3 Mark Mirotznik Ph.D...

This preview shows pages 1–8. Sign up to view the full content.

ELEG 413 Lecture #3 Mark Mirotznik, Ph.D. Associate Professor The University of Delaware Email: [email protected]

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Classification of Materials 1. Homogenous or Inhomogenous: If the material properties are independent of spatial location then the material is homogenous, otherwise it is called inhomogenous 2. Isotropic or Anisotropic: If the material properties are independent of the polarization of the applied field then the material is isotropic, otherwise it is called anisotropic. 3. Linear or non-Linear: If the material properties are independent on the magnitude and phase of the electric and magnetic fields, otherwise it is called non-linear ) , , ( z y x ε Inhomogenous E D E E E D D D z y x zz zy zx yz yy yx xz xy xx z y x ε ε ε ε ε ε ε ε ε ε = = anisotropic ... 3 3 2 1 + + + + = E E E E D o o χ χ χ ε
Classification of Materials - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + t=t1 t=t2 t=t 3 t=t 4 t=t 5 t=t 6 A material’s atoms or molecules attempt to keep up with a changing electric field. This results in two things: (1) friction causes energy loss via heat and (2) the dynamic response of the molecules will be a function of the frequency of the applied field (i.e. frequency dependant material properties) 4. Dispersive or non-dispersive: If the material properties are independent of frequency then the material is non-dispersive, otherwise it is called dispersive

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Electric Properties of Materials Frequency Behavior (Complex Permittivity) 0 ~ ~ ~ ~ ~ ~ ~ ~ ~ = = + + = × - = × B D J J D j H B j E c i ρ ϖ ϖ E J H B E D s c o ~ ~ ~ ~ ~ ) ( ~ * σ μ ϖ ε = = = 0 ) ~ ( ~ ) ~ ( ~ ~ ~ ~ ~ ~ * * = = + + = × - = × H E E J E j H H j E s i o ρ ε σ ε ϖ μ ϖ ) ( ) ( ) ( * ϖ ε ϖ ε ϖ ε - = j is called the complex permittivity 0 ) ~ ( ~ ) ~ ( ~ ~ ~ ) ( ~ ~ ~ * = = + + - = × - = × H E E J E j j H H j E s i o ρ ε σ ε ε ϖ μ ϖ loss term Dielectric constant 0 ) ~ ( ~ ) ~ ( ~ ~ ) ( ~ ~ ~ * = = + = × - = × H E J E j H H j E i eff o ρ ε ϖ ε ϖ μ ϖ ϖ σ ϖ ε ϖ ε ϖ ε s eff j j - - = ) ( ) ( ) (
Frequency Behavior of Sea Water

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Electric Properties of Materials Frequency Behavior (Complex Permittivity) 0 ) ~ ( ~ ) ~ ( ~ ) ( ~ ~ ~ ~ ~ * = = + + + = × - = × H E E J E j H H j E s i o ρ ε ε ϖ σ ε ϖ μ ϖ 0 ) ~ ( ~ ) ~ ( ~ ~ ~ ) ( ~ ~ ~ * = = + + - = × - = × H E E J E j j H H j E s i o ρ ε σ ε ε ϖ μ ϖ 0 ) ~ ( ~ ) ~ ( ~ ~ ~ ~ ~ ~ * = = + + = × - = × H E E J E j H H j E eff i o ρ ε σ ε ϖ μ ϖ ε ϖ σ σ σ ϖ σ + = + = s a s eff ) ( 0 ) ~ ( ~ ) ~ ( ~ ~ ~ ~ ~ ~ * = = + + = × - = × H E J J J H H j E eff i d o ρ ε μ ϖ E J J E j J eff eff i d ~ ~ ~ ~ ~ σ ε ϖ = = Displacement current Source current Effective electric conduction current
Electric Properties of Materials Frequency Behavior (Complex Permittivity) 0 ) ~ ( ~ ) ~ ( ~ ~ ~ ~ ~ ~ * = = + + = × - = × H E E J E j H H j E eff i o ρ ε σ ε ϖ μ ϖ ε ϖ σ σ σ ϖ σ + = + = s a s eff ) ( 0 ) ~ ( ~ ) ~ ( ~ ~ ) 1 ( ~ ~ ~ * = = + - = × - = × H E J E j j H H j E i eff o ρ ε ε ϖ σ ε ϖ μ ϖ 0 ) ~ ( ~ ) ~ ( ~ ~ )) tan( 1 ( ~ ~ ~ * = = + - = × - = × H E J E j j H H j E i eff o ρ ε δ ε ϖ μ ϖ 0 ) ~ ( ~ ) ~ ( ~ ~ ~ ~ ~ * =

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}