Situation: Two lasers hit a location at point P distance \(x_1\) from laser 1, and \(x_2\) from laser 2. L1|----P--------|L2 The waves are: \(\Psi_1 (x_1,t) = A cos(k_1 x_1 + \omega_1 t)\) \(\Psi_2 (x_2,t) = B cos(k_2 x_2 - \omega_2 t)\) I think this is set up correctly. Such that the wave at point P should be. \(\Psi_P (x_1,x_2,t) = A cos(k_1 x_1 + \omega_1 t) + B cos(k_2 x_2 - \omega_2 t)\) To make \(\Psi_P\) equivalent after changing both [\(x_1\) and \(x_2\)] to [\(x_3\) and \(x_4\)] respectively. Do I simply set... \(\Psi_P(x_1,x_2,t) = \Psi_P(x_3,x_4,t)\) ?
