Find the Jones vector which represents a state of polarization orthogonal to E1 -2i,
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- A light ray is incident on the outer surface of the polyethylen at an angle of 41.2° with the normal. Find the angle the transmitted ray makes with the normal.Solve the partial differential equation 2² 8² da? (x, y) + dy² V(x, y) = 0 using the separattion of variables technique for partial differential equations. That is, let (x, y) = f(x)g(y) and obtain two ordinary differential equations, one for f(x) and the other for g(y). Choose your separation constant to be k². Then, obtain the general solution to each of the ordinary differential equations. Finally, obtain the general solution for (x, y).Let E=(-2jŷ) e˜³², H =- (2 jî +ŷ) e¯jz 377 (a) Find the time-averaged Poynting's vector . (b) Find the instantaneous Poynting's vector (z,t). (c) Show that the results from (a) and (b) are consistent.
- A light ray is incident on the outer surface of the lucite at an angle of 37.8 degrees with the normal. Find the angle the transmitted ray makes with the normal.A number N of plane waves are travelling parallel; the waves share a common wavevector k and common direction of electric field vector along unit vector û, but each wave has its own distinct amplitude Eo and phase difference &;. Therefore the ith wave (for 1 ≤ i ≤ N) has electric field given by E₁ = Eoiû Re [exp j(k-r - wt+d;)]. From this, prove that the total intensity Inet including interference is given by Ec|² 27⁰ where the complex amplitude E, is defined by Inet and 70 is the impedance of free space. N Ec = Eoi exp(joi), 7 i=1Light traveling through medium 3 (n3 = 2.4) is incident on the interface with medium 2 (n2 = 2.0) at angle θ. If light does enter into medium 2 but no light enters into medium 1 (n1 = 1.6), what can we conclude about the range of values for θ?