its tunneling and which could be interesting for further study of the photon bremsstrahlung during tunneling in the $\alpha$-decay. However, the fully quantum approach (starting from [@Batkin.1986.SJNCA] and then [@Papenbrock.1998.PRLTA; @Tkalya.1999.JETP]) seems to be the most accurate and motivated from the physical point of view in description of emission of photons, to be the richest in study of quantum properties and new effects. Among the fully quantum approaches a model proposed for the first time by Papenbrock and Bertsch in [@Papenbrock.1998.PRLTA] has been developing the most intensively, where wave function of photons is used in the dipole approximation. In such dipole approach the matrix element is calculated with higher convergence and without visible decrease of accuracy, that makes this problem to be studied for many researchers in the fully quantum consideration.

If intensity of bremsstrahlung was varied enough visibly at change of the angle, then the emission of photons would take influence on dynamics of the $\alpha$-decay essentially and, therefore, change some its characteristic. From such point of view discussions [@Eremin.2000.PRLTA; @Kasagi.2000.PRLTA] show a way for obtaining the new information about the $\alpha$-decay: through *angular analysis of the bremsstrahlung during the $\alpha$-decay*. But for such researches a model of description 