Materials Measurement Phil Bartley Shelley Begley

Maxwell’s Equations∇× E=−∂B∂ t∇× H= ∂ +∂ D Jt∇• D=ρ∇• B=0James Clerk MaxwellEverything we are going to talk about today, starts here. I’m sure you all recognizeMaxwell and his famous equations. We won’t go into detail, but due diligencedemands we at least give mention.The solution of Maxwell’s equations determines how microwave energy propagatesthrough a material. Maxwell’s equations can be expressed in many equivalent forms.Its most general form is listed here.Where:J is the current densityE is the electric field intensityD is the electric flux densityH is the magnetic intensity fieldB is the magnetic flux densityp is the charge densityThese equations are based on Faraday’s law and Ampere’s law. These equations arealways satisfied.6