An apparatus for supporting food for cooking, comprising: an emitter tray (142, 204) having an upper surface (145, 206); a food support structure positionable on said upper surface (145, 206) of said emitter tray (142, 204); said food support structure comprising a plurality of side-by-side, spaced apart food support ribs (159, 228); the apparatus characterized in that said upper surface (145, 206) of said emitter tray (142, 204) having a contoured shape which includes a longitudinal contour; said food support ribs (159, 228) having longitudinally extending tops which are horizontal when said food support structure is positioned on said upper surface (145, 206) of said emitter tray (142, 204); and each of said food support ribs (159, 228) having a longitudinally extending bottom with a longitudinal bottom contour which corresponds-to said longitudinal contour of said upper surface (145, 206) of said emitter tray (142, 204) such that, when said food support structure is positioned on said upper surface (145, 206) of said emitter tray (142, 204), said longitudinal bottom contour of said longitudinally extending bottom of each of said food support ribs (159, 228) runs longitudinally in contact with said longitudinal contour of said upper surface (145, 206) of said emitter tray (142, 204), wherein said longitudinal contour of said upper surface (145, 206) of said emitter tray (142, 204) which is contacted by and corresponds with said longitudinal bottom contour of said longitudinally extending bottoms of said food support ribs (159, 228) includes at least one lower region of said longitudinal contour and at least one upper region said longitudinal contour, said upper region of said longitudinal contour being elevationally higher than said lower region of said longitudinal contour so that fat or grease which drips onto said upper surface (145, 206) of said emitter tray (142, 204) will flow longitudinally from said upper region of said longitudinal contour toward said lower region of said longitudinal contour. an emitter tray (142, 204) having an upper surface (145, 206); a food support structure positionable on said upper surface (145, 206) of said emitter tray (142, 204); said food support structure comprising a plurality of side-by-side, spaced apart food support ribs (159, 228); the apparatus characterized in that said upper surface (145, 206) of said emitter tray (142, 204) having a contoured shape which includes a longitudinal contour; said food support ribs (159, 228) having longitudinally extending tops which are horizontal when said food support structure is positioned on said upper surface (145, 206) of said emitter tray (142, 204); and each of said food support ribs (159, 228) having a longitudinally extending bottom with a longitudinal bottom contour which corresponds-to said longitudinal contour of said upper surface (145, 206) of said emitter tray (142, 204) such that, when said food support structure is positioned on said upper surface (145, 206) of said emitter tray (142, 204), said longitudinal bottom contour of said longitudinally extending bottom of each of said food support ribs (159, 228) runs longitudinally in contact with said longitudinal contour of said upper surface (145, 206) of said emitter tray (142, 204), wherein said longitudinal contour of said upper surface (145, 206) of said emitter tray (142, 204) which is contacted by and corresponds with said longitudinal bottom contour of said longitudinally extending bottoms of said food support ribs (159, 228) includes at least one lower region of said longitudinal contour and at least one upper region said longitudinal contour, said upper region of said longitudinal contour being elevationally higher than said lower region of said longitudinal contour so that fat or grease which drips onto said upper surface (145, 206) of said emitter tray (142, 204) will flow longitudinally from said upper region of said longitudinal contour toward said lower region of said longitudinal contour.