A microwave heating device includes a variable frequency microwave power supply, a waveguide launcher, and a fixture to contain a material to be heated, with the fixture located directly adjacent to the end of the launcher. All heating occurs in the near-field region. This condition may be insured by keeping the thickness of the fixture or workpiece under one wavelength (at all microwave frequencies being used). The launcher is preferably a horn or waveguide configured to apply the microwave power to a small area to perform spot curing or repair operations involving adhesives and composites. The spot curing may secure components in place for further handling, after which a thermal or oven treatment will cure the remaining adhesive to develop adequate strength for service.