Weinvestigatethediffractionoftheguidedmodesofadielectricslabwaveguideonasimpleintegratedstructureconsistingofasingledielectricridgeonthesurfaceofthewaveguide.Numericalsimulationsbasedonaperiodicrigorouscoupled-waveanalysisdemonstratetheexistenceofsharpresonantfeaturesandboundstatesinthecontinuum(BICs)inthereflectanceandtransmittancespectraoccurringattheobliqueincidenceofatransverseelectric(TE)-polarizedguidedmodeontheridge.Usingtheeffectiveindexmethod,weexplaintheresonancesbytheexcitationofcross-polarizedmodesoftheridge.FormationoftheBICsareconfirmedusingatheoreticalmodelbasedoncoupled-wavetheory.ThemodelsuggeststhattheBICsoccurduetothecouplingofquasi-TEandquasi-transverse-magneticmodesofthestructure.SimpleanalyticalexpressionsfortheangleofincidenceandtheridgewidthpredictingthelocationoftheBICsareobtained.Theexistenceofhigh-QresonancesandBICsenablesusingtheconsideredintegratedstructureforsensing,transformationofopticalsignals,andenhancingnonlinearlight–matterinteractions.DuetotheLorentzianlineshapeoftheresonancesneartheBICs,thestructureisalsopromisingforfilteringapplications.
