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Measuring time delays from strongly lensed supernovae (SNe) is emerging as anovel and independent tool for estimating the Hubble constant $(H_0)$. This isvery important given the recent discord in the value of $H_0$ from two methodsthat probe different distance ranges. The success of this technique will relyof our ability to discover strongly lensed SNe with measurable time delays.Here, we present the magnifications and the time delays for the multiply-imagedgalaxies behind the Hubble Frontier Fields (HFF) galaxy clusters, by usingrecently published lensing models. Continuing on our previous work done forAbell 1689 (A1689) and Abell 370, we also show the prospects of observingstrongly lensed SNe behind the HFF clusters with the upcoming James Webb SpaceTelescope (JWST). With four 1-hour visits in one year, the summed expectationsof all six HFF clusters are $\sim0.5$ core-collapse (CC) SNe and $\sim0.06$Type Ia SNe (SNe Ia) in F115W band, while with F150W the expectations arehigher, $\sim0.9$ CC SNe and $\sim0.06$ SNe Ia. These estimates match thoseexpected by only surveying A1689, proving that the performance of A1689 asgravitational telescope is superior. In the five HFF clusters presented here,we find that F150W will be able to detect SNe Ia (SNe IIP) exploding in 93 (80)pairs multiply-imaged galaxies with time delays of less than 5 years.

Prospects for observing strongly lensed supernovae behind Hubble Frontier Fields galaxy clusters with the James Webb Space Telescope