A minimal magnetic-field measurement Dewar vessel includes an inner container which contains a superconducting device and cooling medium, a radiation shield which is composed of an electrical insulation substrate and a first and second plurality of thin line stripes provided on opposite surfaces of the electrical insulation substrate so that the first plurality of thin line stripes is electrically insulated from the second plurality of thin line stripes and provided in a high stripe dense state, an outer container, and a cooling apparatus. A width of one portion of at least one of the first and second plurality of thin line stripes arranged in one area of the radiation shield surrounding the superconducting device is smaller than a width of another portion of the at least one of the first and second plurality of thin line stripes arranged in another area of the radiation shield, respectively.