![]() For example SomeWave as X wave will work for either row of the example above. You can choose if you want to plot a column ( ) or a row ( ), but number of points in calibration wave must match or be limited by sub-range. Note that in the example above wave0 is a matrix and dialog specifies that column 0 of that matrix should be plotted vs row position wave RP_wave0, whcih was created when matrix was loaded. Moreover, you can plot an individual row or column of a matrix vs a wave or a row/column of another matrix. In this mode you can specify individual pairs of waves, choose separate axis for different wave pairs and limit ranges of data that you want to be dipalyed. To switch to advanced mode click More Choices button. New Graph or Add Traces dialogs allow greater chioce and flexibility if needed. Remove dialog simply allows you to choose which wave to remove. Select Append Traces to Graph or Remove from Graph:Īppend dialog is identical to dialog above for creating a new graph. Activate the graph of interest - submenu Graph will appear inthe main menu. ![]() You can freely shuffle traces displayed on a graph. Then select a calibration wave on the right:Īfter clicking on Do It button you will get a graph where each data point from My_Sample01 wave is displayed at X position from corresponding point in wln_clb wave. Select waves you want to plot on the left. You can select several Y waves by holding Shift key, but only one X wave can be selected. This will help you to locate it later on.Ĭlick Do It button and you will get a graph showing values in your wave. ![]() The most common left vs bottom is the default. Select your wave on the left and leave _calculated_ highlighted on the right.įrom Axis drop-down menus choose how you want data to be displayed. Open a New Graph dialog from Windows menu: You get a 2D plot with little information along X axis. In simple graph you display wave values sequentially or per scaling if it has been set. Visual representaion as a graph of one sort or another is one of basic, and most used, applications of Igor. We scaled the wave by /2, so if we do the same for the 2D and 3D wave equation then we get the curve is scaled by /(a 2+b 2) in 2D and /(a 2+b 2)+c 2 in 3D.Īcos(ax(a 2+b 2)/+by(a 2+b 2)/- t(a 2+b 2)/) for 2D.Īnd Acos(ax(a 2+b 2)/+by(a 2+b 2)/+cz(a 2+b 2)/- t(a 2+b 2)/) for 3D.Making graphs in Igor Plotting waves in Igor The wave in 1D is f(x)=Acos(2 x/ -cT2 / ). This is the same as the translation of the 1D wave by cT. The equation of the wave without horizontal scaling is As changes then this changes the translation of the curve. The constant term dt can be written as t, where is the radian frequency. This is an expression of in terms of a,b in 2D and a,b,c in 3D. ![]() Since we know that = k in 2D and k in 3D, Using the signed distance (C ''-C ')/(A 2+B 2) 1/2 and (C ''-C ')/(A 2+B 2+C 2) 1/2 from one level to the next ie C '=0 to C ''=2 we get The wavelength is also a multiple of in 2D and in 3D. The wavelength ( ) is perpendicular to the level lines and we can consider this to be the normal to the level lines. This is our affine function, where Acos(ax+by) or Acos(ax+by+cz) is our linear function and the dt part is our translation. Where t=0 and the angle is measured in radians. The wave height is equal to Acos(ax+by+dt)=0 in 2D Amplitude(A) is the distance from the x-axis to the crest while wave height is the distance from the trough to the crest. It is the speed at which a crest travels.Īmplitude and wave height are hard to visualize in 2D and 3D but we can picture it in 1D. Similiarly to the frequency the velocity of a wave in 2D and 3D is similiar to the velocity in 1D. ie how many crest pass the yellow line per second. It is how many crests pass a point per second. The definition for frequency is the same for both 1D, 2D and 3D waves. The wavelength of a 2D and 3D wave is similiar to the wavelength of a 1D wave as shown below. In 1D the crests are the top of cosine wave or the cosine max. The wave in 2D or 3D is very similiar to the waves in 1D. This diagram shows us the crests of the wave, the direction that the wave is travelling, the cosine max(which are the crests) and the wavelength which is one cycle. We can use this to describe the equation of the wave. This actually shows us the level curves of the wave.Īs seen in affine transformation this looks like the many lines of Ax+By=C. If you draw lines following the crests of these waves then we can represent the wave by lines. This diagram represents a part of a wave in 3D. Math 309 - 2d and 3d waves Part 4 - 2D and 3D wavesĪ wave in 3D is very hard to visualize.
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