Lorentz phase microscopy of magnetic materials.

We propose a method of Lorentz phase microscopy for in situ studies and imaging magnetic materials in transmission electron microscopy (TEM) based on the solution of the magnetic transport-of-intensity equation. We also describe the appropriate way of solving this equation that may be useful for understanding and practical use of non-holographic methods for phase retrieval in electron microscopy, especially in imaging magnetic materials. The method is simple, since it is primarily based on classical Fresnel imaging. On the other hand, it is quantitative and can be applied in any TEM without changing the basic hardware. Therefore, it may well find important practical applications in ultramicroscopy and modern magnetic materials research.