Sound Wave Propagation: Why HF are more specular while LF are more omni The propagation of high frequencies sound waves is more directional (specular), and they don't diffract as much as low frequencies. Low-frequencies diffract and thus propagate in a more omni-spherical fashion. This, to my knowledge, applies to all waves, not only sound ones.
Now trying to imagine the air particles hitting one another at low/high frequencies doesn't really unlock why this happens. I am aware that deep understanding of wave theory will provide the answer.
But is there a simple, visual explanation to why this happens? And if not, is there at least some simple mathematical equation that can provide the answer? 
 A: Diffraction angle on the body of size $L$ is about $\lambda/L$ thus it is bigger for LF waves. 
Another way to think about it is to remember that $\lambda \to 0$ case is a geometric optic with no diffraction at all, and the bigger the wavelength is, the further we away from the geometric optic to meet diffraction, etc.
PS. I am not sure the picture of particles hitting each other plays well here because of the ideal acoustic targets cases with wavelength much bigger than mean free path in order to arrive to the dissipation-free wave equation we use to describe the diffraction.
A: OK, I believe that a simple explanation can be based on Huygen's Principle (the animation on this page was particularly helpful).
If we take the simple case of 2D propagation, the object resonating can be looked at as a line. As the line moves back and forth, wavelets are created along its length. The wavefronts moving forward reinforce to create new wavefronts; but the wavefronts moving sidewise cancel out. So based on this:

Waves do travel in all directions regardless of the frequency, it's just that side motion for higher frequencies results in phase cancelations (and thus reduced pressure changes).

