1. (25 pts) A dielectric slab of thickness d = 3 cm is situated in air....

 

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1. (25 pts) A dielectric slab of thickness d = 3 cm is situated in air. The material is lossless with &= 9 and r = 1. At f= 1.25 GHz, A plane wave with the electric field E = xe illuminates the slab at normal incidence. (V/m) d Medium 1 air Medium 2 dielectric Medium 3 air (a) (10 pts) Find the complex reflection coefficient I at the z = 0 interface. (b) (8 pts) What is the time-average power density vector of the wave transmitted to medium 3? (c) (7 pts) For this physical configuration, there are infinitely many frequencies at which the dielectric slab appears completely transparent (i.e., zero reflection) for normally incident plane waves. What is the lowest of such frequencies? 1. (25 pts) A dielectric slab of thickness d = 3 cm is situated in air. The material is lossless with &= 9 and r = 1. At f= 1.25 GHz, A plane wave with the electric field E = xe illuminates the slab at normal incidence. (V/m) d Medium 1 air Medium 2 dielectric Medium 3 air (a) (10 pts) Find the complex reflection coefficient I at the z = 0 interface. (b) (8 pts) What is the time-average power density vector of the wave transmitted to medium 3? (c) (7 pts) For this physical configuration, there are infinitely many frequencies at which the dielectric slab appears completely transparent (i.e., zero reflection) for normally incident plane waves. What is the lowest of such frequencies?