Consider two coherent monochromatic sources of light of wavelength (lambda) centered at the origin and located...

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Physics

Consider two coherent monochromatic sources of light ofwavelength (lambda) centered at the origin and located at (0, 0,-d)and (0,0,+d). Show that the locus of points, satisfying either thecondition for constructive or destructive interference, form afamily of hyperboloids of revolution (one for each value of m) withthe foci located at the sources. Do this by deriving the equationfor the hyperboloid of revolution in Cartesian coordinates (1pt)and locating the focus points (0.5pts). Additionally, what does thesurface look like for constructive interference when m=0? Proveyour answer (0.5pts). You are not allowed to skips steps by usingWolfram or any other math software (in other words donï¿½t skipimportant steps).

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derivation of the equation for the hyperboloid of revolution incartesian coordinates and locating the focus points the surface is the focus of the equation is given as x2 C2 y2 A2 z2 B2 1 eq 1 in the threedimensional cartesian equation it is See Answer

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