In this paper, two different methods for estimating directional spectrum in incident and reflected wave field are proposed. These methods are developed by modifying or extending the BDM by taking account of the phase interaction. (BDM is the new method proposed by the authors for estimating directional spectra with the use of Bayesian Model, and has the highest resolution power of all the existing methods.)
　The one method (MBM), which is developed by modifying the BDM, can be applied for the case where the reflection coefficient is known, and the other method (EMBM), which is developed by extending the MBM, can be applied if the reflection coefficient is not known.
　Each of the methods is also examined for numerical simulation data, and validity of the methods is discussed in this report with the following conclusions:
1) MBM can be applied for more than four-sensor array, and has higher resolution power for estimating the incident and the reflected directional wave spectra than other methods if the correct reflection coefficient is given.
2) EMBM can be applied for more than six-sensor array, and of all the proposed methods, it has the highest resolution power for estimating not only the incident and the reflected directional wave spectra but also the reflection coefficient as a function of wave frequency and wave propagation direction.