The following set of programs will calculate the distortion of diffuse photon density waves (DPDW) by spherical or cylindrical objects embedded in either an infinite homogeneous medium or a homogeneous medium with planar free-space boundaries. The theory is described in a paper by Boas, O'Leary, Chance, and Yodh, which is to be published in the Proceedings of the National Academy of Sciences in 1994. Please contact me if you have any questions or comments, or if you uncover any bugs.
If one of these files is missing, then you will not be able to create the executable.
I describe here the method for installing this program on a unix machine. Installation on other machines should be no problem as long as the c-compiler is ANSI standard.
Feel free to contact me if this installation has not worked or if you are interested in installing this program on another system.
To calculate the distortion/scattering of DPDW's in a model system, the system has to be characterized for the program. We characterize a system by telling the computer all of the simulation parameters including:
There are two different methods of entering the simulation parameters into the program. One is to answer a series of questions asked by the program at run time. The other is to prepare two input files of a format that is described below. The run time input method is best for calculating on a 2 or 3 dimensional grid, the distortion/scattering of a DPDW generated by a fixed source, detected by one detector and scattered by any number of objects and/or boundaries. On the other hand, the input files are best when doing several calculations for which the source is not necessarily fixed.
Below I will run through examples of using either input method.
Let's calculate the DPDW generated by a phased-array of two sources and scattered by one absorbing sphere. Output from the computer is enclosed in quotes while your input is indented.
To start the program, type
If we were doing the calculation for a cylinder, we would instead type p1 c
We are first asked
"Number of sources, objects, and free-space planar boundaries:"
2 1 0
Next, we are asked about the homogeneous medium
"Homogeneous Medium mu_s' and mu_a (units of inverse centimeters):"
All length units are in centimeters.
"Index of Refraction of the turbid medium:" 1.333
"Modulation Frequency in MHz"
This is the frequency at which the intensity of your source is modulated, respond in MHz, e.g.
We are then asked about the object.
"Object 1: mu_s' mu_a Position Xo Yo Zo Size a (units of centimeters):"respond
10 5 0 4 0 .5
This object has a reduced scattering coef. of 10 inverse centimeters, an absorption coef. of 5 inverse centimeters. It is positioned at Xo=0.0 cm, Yo=4.0 cm, Zo=0.0 cm, and it has a radius of 0.5 cm.
Next, the sources.
"Source 1: Position Xs Ys Zs Initial Amplitude and Phase A_o Phi_o:" -.5 0 0 1 0 "Source 2: Position Xs Ys Zs Initial Amplitude and Phase A_o Phi_o:" .5 0 0 1 180
The first source is at Xs=-0.5 cm, Ys=0.0 cm, Zs=0.0 cm, and has an initial amplitude of 1 and phase of 0 degrees. The second source is at Xs=0.5 cm, Ys=0.0 cm, Zs=0.0 cm, and has an initial amplitude of 1 and phase of 180 degrees.
Next, we are asked about the name for the output file.
"Output file name (excluding extension):"Respond with your choosen name
The program will automatically place the proper extension on the file name. It does this because it produces 3 output files, one containing the ampitude and phase of the distorted wave, one containing the amplitude and phase of the scattered wave, and the final containing the X Y Z position of the detector. The format of the output files will be described below.
Finally, you are asked about the detector positions.
"Detector Positions (define a 3d grid):" " Xmin, Xmax, Xstep:" -3 0 1 " Ymin, Ymax, Ystep:" 6 6 1 " Zmin, Zmax, Zstep:" 0 0 1
Thus, the DPDW will be calculated at (X=-3.0 cm, Y=6.0, Z=0.0), (X=-2.0, Y=6.0, Z=0.0), (X=-1.0, Y=6.0, Z=0.0), (X=0.0, Y=6.0, Z=0.0).
Let's do the same calculation as above, but this time we will input the simulation parameters using input files. Output from the computer is enclosed in quotes while your input is indented. To start the program, type
p1 s source_detector_file phantom_file output_file
The 's' indicates that we are doing the calculation for a sphere. The next three items on the command line are the names of the two input files and the name for the output file (without extensions). For this calculation, the source_detector_file is 'source_detector_file.sdg'
2 1 220 7 -.5 0 0 1 0 .5 0 0 1 180 -3.0 6 0 1 0 -.5 0 0 1 0 .5 0 0 1 180 -2.5 6 0 1 0 -.5 0 0 1 0 .5 0 0 1 180 -2.0 6 0 1 0 -.5 0 0 1 0 .5 0 0 1 180 -1.5 6 0 1 0 -.5 0 0 1 0 .5 0 0 1 180 -1.0 6 0 1 0 -.5 0 0 1 0 .5 0 0 1 180 -0.5 6 0 1 0 -.5 0 0 1 0 .5 0 0 1 180 0.0 6 0 1 0
The first line contains the number of sources and the number of detectors used for each measurement. The next line is the modulation freq. of the source in MHz. Then the number of measurements followed by the Xs Ys Zs A_o Phi_o for each source and Xd Yd Zd A_o Phi_o for each detector. The phantom_file is 'phantom_file.phm'
1 0 10 .02 1.33333 10 5 0 4 0 .5
The first line indicates the number of objects and number of planar boundaries. The second line has the homogeneous mu_s', mu_a and the index of refraction of the turbid medium. The next line is for the first object, mu_s' mu_a Xo Yo Zo a. If there are more objects, additional lines would be added for each object.
If the format of your input files is correct, then the program will execute properly and return two output files; the output.pdw file containing the amplitude and phase of the distorted wave, abd the output.sc file containing the amplitude and phase of the scattered wave.
The output files from the above sample seesions are given below.
The 'sample.pdw' file will be
7 5.455546e-15 -78.361698 6.085271e-15 -87.653065 6.212503e-15 -95.357244 5.639028e-15 -101.307615 4.299213e-15 -105.382961 2.323047e-15 -107.630010 5.057899e-24 -162.986157
where the first line is the number of measurements. Each additional line is the amplitude and phase for each measurement.
The 'sample.sc' file will be
7 4.761850e-17 113.683236 7.980468e-17 95.978313 1.251892e-16 79.943429 1.746208e-16 66.197048 1.961558e-16 55.511084 1.403547e-16 48.691068 3.136315e-24 5.109805
The format is the same as for 'sample.pdw'.
If the simulation parameters where entered at run time, then the additional file 'sample.xyz' will be created
7 1 1 -3.000000 6.000000 0.000000 -2.500000 6.000000 0.000000 -2.000000 6.000000 0.000000 -1.500000 6.000000 0.000000 -1.000000 6.000000 0.000000 -0.500000 6.000000 0.000000 0.000000 6.000000 0.000000
The first three lines indicate the number of grid points in the x, y, and z directions respectively. Following will be (nx*ny*nz) lines giving the position of the detector, Xd Yd Zd, for each measurement. nx, ny, and nz are the number of grid points along each axis.