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Animated Figures from D. M. Grimes and C. A. Grimes, The Electromagnetic Origin of Quantum Theory and Light, World Scientific, Singapore, 2002.



Figure 5.17.3 from Electromagnetic Origin of Quantum Theory and Light. L/(ka) = 1, electric field associated pressure versus zenith angle. Effects on the surface of a radiating sphere with radius equal 1,500,000 Bohr orbits supporting the fields of Eqs. 5.13.6 through 5.13.8. Maximum magnitude is on the positive z-axis. Phase variation with zenith angle is suppressed.





Figure 5.17.5 from Electromagnetic Origin of Quantum Theory and Light. L/(ka) = 15 x 105, total pressure versus zenith angle. Total (magnetic and electric) pressure on the surface of a radiating sphere with radius equal one Bohr orbit supporting the fields of Eqs. 5.13.6 through 5.13.8.

Figure 5.17.5 shows the total radiation pressure versus zenith angle at the surface of a virtual radiating sphere with a radius of just one Bohr radius. The maximum pressure magnitude of 9.0 x 1016 Pa is expansive and occurs at zenith angle 67°. The magnitude so dominates the Coulomb force that the size of the radiating eigenstate electron surely undergoes a nova-like expansion of the upper hemisphere once the radiation process begins. Indeed, the pressure is so large that it belies the use of perturbation techniques to calculate radiation effects, as done in Sec. 4.13 and 4.17. The maximum compression is -4.2 x 1016 Pa and occurs at a zenith angle of 112°. Although expansion of the upper hemisphere is expected, compression is against other atomic forces and hence distortion is less probable.




L/ka = 1



L/ka = 2



L/ka = 5



L/ka = 10



The time variation of total (electric and magnetic) radiation reaction on a rigid, radiating spherical surface at different L/ka values (L= maximum modal number, k = wavevector, a = radius of sphere). From top to bottom: L/ka = 1, L/ka = 2, L/ka = 5, and L/ka = 10. Phase variation with zenith angle is suppressed. The red color denotes an expansive force, the blue a compressive force; the sign alternates with time. The radiation reaction pressure is many orders of magnitude greater than the pressure of Coulomb attraction. The radiating electron undergoes a nova-like, expansive oscillations in the direction of radiation.


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Last Date Modified: Tuesday, January 29, 2002