In this problem we will consider the reflections from the two structures shown below. For this problem, you may assume t

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In This Problem We Will Consider The Reflections From The Two Structures Shown Below For This Problem You May Assume T 1 (110.42 KiB) Viewed 44 times

In this problem we will consider the reflections from the two structures shown below. For this problem, you may assume that ei and €2 are both greater than zero and that the materials that compose the structures are nonmagnetic (41 and M2 = 1). Scenario 1 Scenario 2 х X Z Z z = 0 z = 0 incident light incident light d EL E2 E1 E2 E3 Consider "Scenario 1”, as depicted above. . (a) What is the reflection coefficient that the incident wave experiences at the bound- ary at 2 = 0? Let's say that you could adjust the permittivity of medium 2, €2. What value of €2 results in the minimum reflection coefficient magnitude? Explain your result intuitively. Now let's consider "Scenario 2", as depicted above. (b) Let's say that the region with permittivity (2 is a quarter-wavelength thick: d is equal to one fourth of the wavelength in the material with permittivity 2. What should the permittivity (2 be in order to minimize reflections of the incident wave at 2=0? Write your answer in terms of €; and €3. (HINT: Recall that for a transmission 61 line of length 1/4, characteristic impedance Zo, and load impedance Zl, the input impedance is Zin Z/ZL.)