The　time　reversal　method　has　been　shown　to　be　capable　of　reconstructing　electromagnetic　sources.　However,　in　the　past,　most　sources　reconstructed　are　point　sources　that　may　not　be　often　seen　in　practical　situations.　This　paper　presents　preliminary　studies　on　the　time-reversal　reconstruction　of　the　sources　with　arbitrary　geometrical　shapes　and　with　finite　frequency　bandwidths.　Our　results　show　that　the　time-reversal　method,　incorporating　the　Kurtosis,　can　effectively　find　the　locations,　excitation,　and　band-limited　arbitrarily　shaped　sources.　In　addition,　in　an　ergodic　cavity,　a　single　sensor　is　adequate　to　reconstruct　the　sources　with　reduced　operational　cost　and　complexity.This　paper　lays　the　groundwork　for　further　development　of　the　TR　method　for　its　uses　in　realistic　scenarios　of　source　reconstructions.