Reflection of TM plane wave

Editors邱俊慧、黃國峻

Advisor江簡富 教授


Demonstration:
 

   
These plane waves satisfy the dispersion relations, kx2+ kz2 = k12, krx2+ krz2 = k12, ktx2+ ktz2 = k22 , kx = k1 sin θi, krx = k1 sin θr, and ktx = k2 sin θt. The condition kx = krx implies that θr = θi, namely, the angle of reflection is equal to the angle of incidence.

μ1=μ2=μ0 , θi=300

Case(1)ε1=ε0,ε2=ε0

 

 


Case(2)ε1=ε0,ε2=4ε0

               

    


Case(3)ε1=ε0,ε2=10ε0

      

         


Case(4)ε1=4ε0,ε2=1ε0

      

                      


Case(5)ε1=1ε0,ε2=4ε0,θi=63.4349480