1 Dec 2005 01:40
Re: Trapped photon
Rob, The cases aren't parallel because the boundary conditions are very different. Draw a circle (one circumference of the OS and for convention's sake only, make radial electric pointing outwards positive. Inward E vectors are negative. Start with a node of the sine wave glued to the OS and E vector positive as you move forwards. Go once around the entire sphere; you are back with a node at lambda/2, and the wave amplitude was positive at all points. Continuing right around from that first node, the wave amplitude must now go negative until you've made the second trip around the circumference. If you then add amplitudes at all points... the amplitude is exactly zero everywhere, so the wave destructively interferes with itself everywhere and can carry no energy. -pete --- In hydrino@..., "rvirkus2000" <r-virkus <at> t...> wrote: > > --- In hydrino@..., "John E Connett" <jeconnett <at> y...> wrote: > > But it's really quite simple. A photon trapped resonantly inside > > of a spherical cavity cannot have a wavelength which is > > larger than the maximal circumference of the cavity. An analogy > > is a vibrating string fastened at two points: it cannot vibrate > > with a longer half-wavelength than the distance between the > > points. Another analogy: you *cannot* get a piccolo to sound > > like an eight-foot organ pipe. It is simply too short.(Continue reading)
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