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Twodimensional standing wave on a disk
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Hi,
Tried to get a twodimensional standing wave on a disk. Indicate the line of nodes and antinodes:
http://en.wikipedia.org/wik...
Of course the animation is very slow, but it looks pretty. In the attached pictures presented the case of antiphase oscillations.
Roman Chijner
P.S. Unfortunately the closure 3D points appear on the Grafiks plane.
Files:
SW0.JPG
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Roman!
I would say you are pushing this software to its (early) limits. A very nice construction!
hello
i think the movement is better redefining the function
cos(ab)cos(a+b)= 2 sin(a) sin(b)
so you can define
aux1=2 a sin(v t)
aux2=2pi/lambda
c(x,y)= aux1 sin(aux2* sin(sqrt(x^2+y^2))
and then the calculus for c(x,y) are reduced
i do not know if there is a bug but i can not delete the function c in your file, only i can redefine it
your work is very wonderfull
saludos
Hello ,
Thanks for replay. I did so purposely: one cosine of the incident, the other reflected wave. Replacement of the product here will not change anything. Here the problems in GG version.
In the last article
http://www.geogebra.org/for...
and here there are problems with coloring (in the attached image for t=0).
Roman Chijner
hello
if GG do calculus in a grid (i suposse 50x50) redefining the function we can reduce 7500 products and 7500 sums in each picture
this do the movement more nice with higher v
about the problem with view , what must be the criterion for viewing two coincident planes: first or last in "construction protocol" or the mixture you had seen?
saludos
Hello,
In order to discuss, we must know the basic principles of this algorithm: what parameter are to change, how constructed the grid ...
Roman Chijner
Hi,
This part is still under development : improvements should come... and then we'll make a doc about this.
Mathieu
Hi,
Thanks for the development of 3d GG !
Unfortunately, in recent versions the 3d picture is “shakes” ((Intel,Dualcore
Inside,Graphics ATI Radion XPRESS 1250, Windows Vista)).
Roman Chijner
https://ggbm.at/548411
Hi,
In the latest version does not appear Graphics View 3D. As an example see previous file.
Roman Chijner
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