Some Polarigenic Mechanisms in VS .NET

Generation Code39 in VS .NET Some Polarigenic Mechanisms
9 Some Polarigenic Mechanisms
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Fig 91 The schematic displays the original anti-clockwise circular orbit (as seen by the observer) of an electron contracted to a smaller one by the presence of a magnetic eld running parallel to the travel direction of the radiation along the z-axis
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orbits in the x y -plane are modi ed, however, with the angular velocity changing from 0 For an electron rotating from x to y, i e counterclockwise as seen looking against z, as depicted in Figure 91, the new radius, r, of the orbital circle gives rise to an angular velocity, 1 , so that the linear velocity may be expressed as 1 r The magnetic eld acts on the electron with a force of e B 1 r, pointing toward the centre of the circle The resultant of this force and the elastic force is k r C e B 1 r, which is balanced by the centripetal force so that k r C e B 1 r D m 2 r , 1 or, by recalling (91): e B 1 D m( 2 1 2) 0 (94)
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Similarly, if 2 is the angular velocity of an electron rotating with a clockwise rotation, the resultant balance of forces may be expressed by e B 2 D m( 2 0 2) 2 (95)
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Equations (94) and (95) determine the new angular velocities of the two electronic oscillators such that 1 > 0 and 2 < 0 If B is suf ciently small, the summations ( 1 C 0 ) and ( 0 C 2 ) may be written as 2 1 and 2 2 , respectively From (94) and (95), the changes in angular frequency may then be written as 1 0 D 0 2 D D eB 2m (96)
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E Thus, for a longitudinal magnetic eld with vector B pointing along the direction of propagation of the radiation, the angular velocity of the electrons rotating counterclockwise increases by ; a decrease by the same amount applies to the electrons rotating in the clockwise direction Two spectral lines, referred to as components, due to the electrons rotating counterclockwise and clockwise in the
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displaying a left-handed polarization In (b) the lines are in absorption; for the blue shifted line, left-handed polarization is removed leaving an excess of the right-handed form All the senses of handedness would be reversed if the magnetic eld displays the opposite polarity
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Fig 92 The handedness difference associated between emission lines and absorption lines as a result of a longitudinal magnetic eld, with eld lines emerging in a direction towards the observer In (a) the lines are in emission with the blue-shifted component
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x z-plane will be observed; the third linear oscillator vibrating along the z-axis does not radiate in the direction of its motion The spectral line corresponding to the higher angular frequency 0 C , with blue-shifted wavelength, will show lefthanded circular polarization according to the IEEE de nition (see page 45); the line for angular frequency 0 (red-shifted) will show right-handed circular polarization These outcomes are depicted in Figure 92a The handedness assignations reverse if the longitudinal eld is in the opposite direction, pointing against the radiation ow For a situation involving a transverse eld, three spectral lines should be recorded In the sketched arrangement of Figure 91, if the radiation is received along the x-axis, the middle line, unshifted in wavelength and referred to as the component, is due to light waves of angular frequency, 0 , emitted by the electrons vibrating in the direction of the z-axis This light is linearly polarized, with the plane of vibration parallel to the magnetic eld The other two lines are due to light waves of angular frequencies 0 C and 0 emitted by the electrons rotating counterclockwise and clockwise in the plane perpendicular to the magnetic eld As the circular motions are seen edge-on, their radiations are linearly polarized, with a direction of vibration perpendicular to the magnetic eld It is noteworthy that because of the inverse relationship between and , i e c D , the line splitting expressed in terms of wavelength is / 2 Consequently magnetic elds should be more readily detected by using Zeeman sensitive spectral lines of longer wavelength The shift in wavelength for the normal triplet may be expressed numerically as D 467 10
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