A filter for trapping and combusting diesel exhaust particulates and method of making the same. The filter comprises a monolithic substrate coated with a refractory oxide material which at a frequency of 2.45 GHz heats up said filter from room temperature to about 600.degree. C. in 5 minutes or less, and wherein said refractory oxide material has a loss tangent which decreases with increasing temperature such that an equilibrium in said filter temperature is reached at no greater than 1100.degree. C. The microwave-absorbing material having a composition selected from the group consisting of A.sub.1-x M.sub.x B.sub.1-y M'.sub.y O.sub.3-.alpha., where A and M are selected from the group consisting of Na, K, Rb, Ag, Ca, Sr, Ba, Pb, La, Pr, Nd, Bi, Ce, Th and combinations thereof; where B and M' are selected from the group consisting of Ti, V, Cr, Mn, Fe, Co, Ni, Rh, Ru, Pt, Zn, Nb, Ta, Mo, W and combinations thereof; wherein, the chemical formula is electrostatically balanced; (A'.sub.a R.sub.r M".sub.m)(Z).sub.4 (X).sub.6 O.sub.24, where A' is from Group IA metals; where R is selected from Group IIA metals; where M" is selected from the group consisting of Mn, Co, Cu, Zn, Y, lanthanides and combinations thereof; where Z is selected from the group consisting of Zr, Hf, Ti, Nb, Ta, Y, lanthanides, Sn, Fe, Co, Al, Mn, Zn, Ni, and combinations thereof; where X is selected from the group consisting of P, Si, As, Ge, B, Al, and combinations thereof.