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We study the characteristics of a narrow band type Ia supernova surveythrough simulations based on the upcoming Javalambre Physics of theaccelerating universe Astrophysical Survey (J-PAS). This unique survey has thecapabilities of obtaining distances, redshifts, and the SN type from a singleexperiment thereby circumventing the challenges faced by the resource-intensivespectroscopic follow-up observations. We analyse the flux measurementssignal-to-noise ratio and bias, the supernova typing performance, the abilityto recover light curve parameters given by the SALT2 model, the photometricredshift precision from type Ia supernova light curves and the effects ofsystematic errors on the data. We show that such a survey is not only feasiblebut may yield large type Ia supernova samples (up to 250 supernovae at $z<0.5$per month of search) with low core collapse contamination ($\sim 1.5$ percent), good precision on the SALT2 parameters (average $\sigma_{m_B}=0.063$,$\sigma_{x_1}=0.47$ and $\sigma_c=0.040$) and on the distance modulus (average$\sigma_{\mu}=0.16$, assuming an intrinsic scatter$\sigma_{\mathrm{int}}=0.14$), with identified systematic uncertainties$\sigma_{\mathrm{sys}}\lesssim 0.10 \sigma_{\mathrm{stat}}$. Moreover, thefilters are narrow enough to detect most spectral features and obtain excellentphotometric redshift precision of $\sigma_z=0.005$, apart from $\sim$ 2 percent of outliers. We also present a few strategies for optimising the survey'soutcome. Together with the detailed host galaxy information, narrow bandsurveys can be very valuable for the study of supernova rates, spectral featurerelations, intrinsic colour variations and correlations between supernova andhost galaxy properties, all of which are important information for supernovacosmological applications.

Photometric type Ia supernova surveys in narrow band filters