We have proposed a method for the detection of dark matter axion. It uses superconductor under strong magnetic field. As is well known, the dark matter axion induces oscillating electric field under magnetic field. The electric field is proportional to the magnetic field and makes charged particles oscillate in conductors. Then, radiations of electromagnetic fields are produced. Radiation flux depends on how large the electric field is induced and how large the number of charged particles is present in the conductors. We show that the electric field in superconductor is essentially identical to the one induced in vacuum. It is proportional to the magnetic field. It is only present in the surface because of Meissner effect. On the other hand, although the magnetic field can penetrate the normal conductor, the oscillating electric field is only present in the surface of the conductor because of the skin effect. The strength of the electric field induced in the surface is equal to the one in vacuum. We obtain the electric field in the superconductor by solving equations of electromagnetic fields coupled with axion and Cooper pair described by Ginzburg-Landau model. The electric field in the normal conductor is obtained by solving equations of electromagnetic fields in the conductor coupled with axion. We compare radiation flux from the cylindrical superconductor with that from the normal conductor with same size. We find that the radiation flux from the superconductor is a hundred times larger than the flux from the normal conductor. We also show that when we use superconducting resonant cavity, we obtain radiation energy generated in the cavity two times of the order of the magnitude larger than that in normal conducting resonant cavity.

我们提出了一种检测暗物质轴突的方法。它在强磁场下使用超导体。众所周知，暗物质轴突在磁场下感应振荡电场。电场与磁场成正比，使带电粒子在导体中振荡。然后，产生电磁场的辐射。辐射通量取决于感应出的电场量以及导体中存在的带电粒子数量。我们表明，超导体中的电场与真空中感应的电场基本相同。它与磁场成比例。由于迈斯纳效应，它仅存在于表面。另一方面，尽管磁场可以穿透普通导体，由于趋肤效应，振荡电场仅存在于导体表面。在表面感应的电场强度等于真空中的电场强度。我们通过求解由Ginzburg-Landau模型描述的与轴和库珀对耦合的电磁场方程来获得超导体中的电场。正常导体中的电场是通过求解耦合轴的导体中的电磁场方程获得的。我们将圆柱形超导体的辐射通量与相同尺寸的普通导体的辐射通量进行比较。我们发现，超导体的辐射通量比正常导体的辐射通量大一百倍。我们还表明，当我们使用超导谐振腔时，