User Manual

Laserworld Showeditor 2015
Version 2015/1.0 2015 Page 82
The frequency describes the number of peaks and wave trough in the space. In Fig.
71 the frequency is 1 for wave 1 and it is assigned to the y coordinates with
amplitude 20000. Thus the generated wave has 1 peak and 1 wave trough in total.
The generator for wave 2 is also assigned to the y coordinates, but has a frequency
of 10 and smaller amplitude of 5000. That generates the smaller wave with 10 peaks,
which is interfering the big wave (see preview window in Fig.72).
The period T describes the time one point on the wave needs to reach the peak
after being in the wave trough. The duration is entered in milliseconds. In the
example in Fig.72 for the wave 1 the duration for one oscillation is 1000ms, thus it
needs 1 second for the oscillating points to fulfil one complete period (to go up and
come down again).
The amplitude describes the “intensity” of the wave (or the color when used). In
other words: It describes the height and the depth of the peak and wave trough. The
generator internally calculates in relative values (in %), because the amplitudes can
be assigned to different point properties. Colors are described internally by values
from 0 to 255 for each of the base colors RGB, coordinates can have values from -
32767 to +32767. You see in Fig. 71 the big wave with amplitude 20000 and the
interfering smaller wave with amplitude 5000. Furthermore you see in the picture the
generators 3 and 4, which are assigned to red and green, respectively. Because they
have the frequency 1 and amplitudes of 30000, they generate the white color (in
combination with blue), which is partly dying the wave.
The phase describes, how much degrees the oscillation is shifted (in comparison to a
wave with phase = 0). An example should explain the property of the phase: Let us
take a sinus oscillation for the x-axis and for the y-axis, too. The result will be a line,
rotated by 45° to the axes. To get a circle, we need a cosines oscillation for one of
the axes. Now remember the basics of trigonometry: A cosine-function is the same as
a sinus-function with a phase shift of 90° (when sin(x) = 1 then cos(x) = 0 and
sin(x+90°) = 0 and the other way round).
All waves can be created as triangle- or rectangle-oscillations and the display can
be altered in the direction (backwards), too.
HINT: The generator is designed to be very flexible. There were some requests of users
to accept only certain conditions in order to simplify the handling. But this would
restrict the flexibility. Because the flexibility has higher priority, some circumstances
have to be taken into account:
Problem 1: Long times for calculations and very big files:
If values for the frequency and/or duration are used for the different generators,
which are not integer multiples from each other, then the time to calculate the wave
can be very, very long! Furthermore the size of the file significantly increases due to
the large number of frames that need to be created.
Please feel encouraged to try and find out the effects of the very settings.
It’s not necessary to calculate any frame numbers – just pay attention to the
warning: