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The main effect of spontaneous emission is to generate an almost white component to the amplitude spectrum. 19, where, as indicated, the phase noise determines the low frequency part of the spectrum, which in tum determines the linewidth, whereas the amplitude noise contributes a pedestal upon which the phase noise sits. In a gas laser, the lasing medium is rarefied, and therefore the spontaneous emission rate will be low, especially in comparison with the photon lifetime, which can be very large because of high-reflectivity mirrors and the low absorptivity of the rarefied gaseous medium.

Maxwell's Equations and Plane Wave Propagation 19 it would be impossible to explain how an Ey would arise from an Ex. so the conclusion must be that a truncated plane wave must have both Ex and Ez. If one assumes that the Poynting vector S, defined by equation (2-17) represents the direction of energy flow, and writes the polarization vector for the truncated plane wave in the form (a) (b) (2-31) one comes to the unmistakable conclusion that there must be radial components to the Poynting vector.

We will presently consider some special cases of this ellipse. If one recalls the Lorentz force law Fq = q(E + v x B) (2-36) where Fq is the force felt by a particle of charge q traveling with a velocity v(t) under the influence of E and B fields, one can find the meaning of the path which the tip of the E-field traces out from the following argument. First, let us approximate the ratio of the magnitudes of the two terms of the right-hand size of (2-36) for z-propagating incident plane wave. Here, one can write that Iv x BI lEI :5 Ivl~oIEI/~o ::::::Ivl lEI (2-37) c If the particle is exhibiting nonrelativistic motion, therefore, the force from the B-field is much smaller than the force due to the E-field.

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An Outline of Wave Mechanics by Mott N.F.

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