I have come across a superb paper for just this kind of a problem.
Olof Bryndahl
Journal of Optical Society of America, Vol. 65, N. 6 pp-685-694 (June 1975)
http://www.opticsinfobase.org/abstract.cfm?URI=josa-65-6-685
I guess solid state approach paid off. I've constructed a hexagonal lattice, with two primitive cell vectors, these vectors can be used to build the smallest vector along the direction we want the cross-section to be. If we use integer amount of these vectors, then we get the vector that shows...
Hmm, but the problem is there are no two input waves. A beat pattern can be generated by two input waves but this pattern is generated by four input waves (two beat patterns) in any cross-section.
Thank you, this helped a lot. Last night I realized that I've been approaching this problem too mathematically :) I considered to look it as a solid state problem.
When I widened the plot boundaries, this pattern looked much like a hexagonal lattice. Then all periodicity (or translation...
What I mean by super period is the period of the envelope function. If you examine the beat curve
the envelope function has a period of P1*P2/(P1-P2), P1 and P2 are periods of two sine waves that are superposed to produce this beat pattern.
I need a similar formula or a way to calculate...
Hi,
I'm looking for any cross-section. I've managed to draw the cross-section by using the surface formula for y=f(x) function, however, now the problem is determining the super period of that cross-section.
For instance, i want to take a cross-section by placing a line passing through...
Homework Statement
Beat pattern is superposition of two sine functions with a little frequency difference. (http://en.wikipedia.org/wiki/Beat_(acoustics)#Mathematics_and_physics_of_beat_tones)
We use this pattern to generate a surface, by adding another beat pattern with 60 degrees...