Bridge Between Quantum and Classical Bremsstrahlung & Why Bremsstrahlung Asymmetry Could Exist Considering Symmetry Axes

This article extends the mathematical model of the complete radiation patterns of the bremsstrahlung process, which involves bremsstrahlung asymmetry and Doppler shift. Firstly, the mathematical model is simplified, preserving the forward-backward peaking radiation properties and the involved asymmetries. This helped investigate and model the tendency of rotation in the wavefront of the emitted wave. Consequently, it has been found that the curl of the gradient of the radiation intensity is non-zero and the wavefront of the bremsstrahlung radiation follows a tapered spiral wavefront. The radius of the rotational wavefront was found to decrease as the wave propagates. The spiral geometry has different magnitudes of radius with respect to the direction of particle motion as the wavefront rotates. Hence, the different magnitudes of spiral wavefronts in 2D are the result of the involved bremsstrahlung and Doppler shift asymmetries. This is also supported diagrammatically by applying Huygens’s principle on a relativistic radiation pattern. This is supported by the quantization of the bremsstrahlung asymmetry, R, through momentum transfer from the particle to the rotating wavefront photon, which is quantized via conservation of momentum. In addition to three different concepts (Huygens's principle, Quantization of R, Curl) used to model the bremsstrahlung wavefront, the fourth novel concept of re-writing alpha quantity inside bremsstrahlung asymmetry, R for even denominator R values, meaning taking square root of a negative number allowed to extend the model to describe the phase structure of the wave. All four different concepts agree on the predicted wavefront. The wavefront of Bremsstrahlung emissions starts at the forward lobe with a rotating and irregularly shrinking radius wavefront. When rotation of the wavefront crosses from the forward to the backward lobe, it passes through the origin where the particle is located. This process repeats until the wavefront rotation collapses into an adjacent dipole pattern.