There are many difficulties to get the scattered field generated by obstacle which has arbitrary shape or irregular surface impedance by using analytic solution or numerical methods.
In this study, we propose experimental method using acoustic scattering holography that can make prediction the farfield scattered field based on nearfield measurements.
In particular we can get the scattered field of each wave-number components of incident fields by decomposition methods of scattered fields which are composed of wave-number components of incident fields. And moreover using this relation we also can obtain the scattered field of each incident directions without more experiments.
To decompose of scattered field of each wave-number components of incident field we consider relationship between wave-number components of incident field and scattered field. We represent this relationship by scattering matrix which is transfer matrix of wave-number components of incident field and scattered field.
First of all, we have to measure the scattered field for many incident directions that are determined by the number of wave-number components of incident field to get the scattering matrix by experimental method. So in this paper, we propose the positions of sources according to the number of wave-number components of incident field considering the relationship of the incident field and source positions.
Lastly, we prove that relation between wave-number components of incident and scattered field by experiments and analysis errors which are caused by measurements and decomposition methods.
