A magnetic field B1 = 3i + 4j + 5k from the air across the interface between region 2x + 2y + z = 1000 where u1 = 1 and µ2 = 2, Find n12 (refractive index) if (1) K = 0 (2) K = -4i + 5j - 2k %3D Where K is the current sheet.

An argon-ion laser produces a cylindrical beam of light whose average power is 0.743 W. How much energy is contained in a 3.17-m length of the beam? Number Units → L

A cloud of atoms is excited by a laser pulse and then emits electromagnetic radiation, which is detected by a spectrometer. At the detector, the amplitude of the field is given by: E(t) = E0e-i[omega]0t - t/2[tao], where E0 is a compex constant, while [omega]0 and [tao] are real constants. a) Determine the detected time-dependent intensity I(t) = |E(t)|2. b) Determine the frequency resolved intensity I([omega]) = |E([omega])|2, where E([omega]) = The integral from 0 to infinity of E(t)*ei[omega]t dt. c) Determine the frequency [omega]max where I([omega]) attains its maximum, as well as the full width at half maximum [delta omega], defined by I([omega]max +/_ [delta omega]/2) = (1/2)I([omega]max). d) Sketch the time-dependent and frequency-resolved intensities I(t) and I([omega]). Image attached with the original formatting

Light with an intensity of 10−10W/m2 is shone perpendicular to the surface a metal that has one free electron per atom. Distance between atoms approx 2, 6A˚. Based on the notion of light as a wave and the assumption that light evenly distributed over the entire metal surface, (a) how much energy each electrons per second? (b) if the electron binding energy is 4.7eV , how long does the electron collect energy to escape the metal surface?

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