My challenge is to create a map showing the propagation of waves, similar to sound waves, from their source point, by marking 'contours' of certain intensity at predetermined distances. I have managed this by simply creating buffers at these distances. However, it has additionally been requested that the 'contours' now account for surrounding buildings and infrastructure which will attenuate the waves more quickly. I have created a cost surface based on the level of attenuation provided by the surrounding features. However, I would like to know if there is a way to use the distance/cost path tools to force a process whereby the raster calculates radially out from a point and stops when a certain value has been cumulatively attained by all the cells it has crossed. Otherwise, is there any software which could be used for a similar purpose which is compatible with GIS and could be used and/or any other solutions within arctoolbox.
Based on your cost distance raster (spatial analyst > distance > cost distance), you can create contour lines using the "contour" tool in spatial analyst > Surface toolbox. Then you can create polygons from those contour lines using "feature to polygon"
You can also modify the symbology of the raster using predefined intervals to visualize your area within a given cost (set colours to null for the class out of your cost of interest) or you can directly set the maximum cost distance in the tools parameters.