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Jim Kelley wrote:
Perhaps you will understand it this way: the bright rings have an intensity which is equal in energy to the sum of the energy in the two superposed waves. Energy doesn't have to come from anywhere else to balance the equation. That just shows that you still don't understand the interference process. The bright rings have an intensity which is equal in energy to *double* the sum of the energy in the two superposed waves. If P1 = P2, the total energy in the bright rings is P1+P2+2*SQRT(P1*P2) = 2*(P1+P2). That "extra" constructive interference energy has to come from somewhere and it comes from the dark areas where destructive interference occurs. In the dark areas, P1+P2-2*SQRT(P1*P2) = 0. Taking the average of those two equations yields (P1+P2) which is the sum of the energy in the two superposed waves. That's only half as bright as the bright rings. The constructive interference energy has to exactly equal the destructive interference energy or else the conservation of energy principle is violated and, sure enough, they do equal each other. -- 73, Cecil http://www.w5dxp.com |
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