![]() 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. 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. There are two small issues with using old PET versions with Igor 6.21 or higher. 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. From this one I want to obtain the numeric values corresponding to pictdetails24 and pictdetails114. What I want to obtain is: from a 2D text wave I want to extract 2 numbers and store them in 2 variables so I can use them later in various calculations. 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. Hello all, I am fairly new in using IGOR Pro. 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. I think you need a two-step process: Redimension to a 1-D wave with the same number of points, then Redimension to a 2D wave with the same number of points, but with appropriate rows and columns. 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. The process of loading a file creates new waves and then stores data from the file in them.Math 309 - 2d and 3d waves Part 4 - 2D and 3D wavesĪ wave in 3D is very hard to visualize. Loading Waves Most Igor users create waves by loading data from a file created by another program. Also to duplicate graph (which Igor does on ctrl/cmd-D) but with duplicate of all data in the graph. Added for every graph right click option to export as jpg and pxp. Sharing Versus Copying Igor Binary Files. DataBrowser - Igor 8 - added Buttons to display w1 vs w2 and extract info from USAXS Folder name strings. The Igor Text File Type Code and File Extension. Loading MultiDimensional Waves from Igor Text Files. Set Scaling After Loading General Text Data. The Load Waves Dialog for General Text - 2D. I am trying to create a user defined function, with 2-dimensional wave as its input. The Load Waves Dialog for General Text - 1D. Comparison of General Text, Fixed Field and Delimited Text. The Load Waves Dialog for Fixed Field Text. Loading Text Waves from Delimited Text Files. The Load Waves Dialog for Delimited Text - 2D. Set Scaling After Loading Delimited Text Data. The Load Waves Dialog for Delimited Text - 1D. II-9 II-9Importing and Exporting Data Loading Waves.
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