  We present new lensing frequency estimates for existing and forthcoming deep
near-infrared surveys, including those from JWST and VISTA. The estimates are
based on the JAdes extraGalactic Ultradeep Artificial Realisations (JAGUAR)
galaxy catalogue accounting for the full photometry and morphologies for each
galaxy. Due to the limited area of the JAGUAR simulations, they are less suited
to wide-area surveys, however we also present extrapolations to the surveys
carried out by Euclid and the Nancy Grace Roman Space Telescope. The
methodology does not make assumptions on the nature of the lens itself and
probes a wide range of lens masses. The lenses and sources are selected from
the same catalogue and extend the analysis from the visible bands into the
near-infrared. After generating realistic simulated lensed sources and
selecting those that are detectable with SNR>20, we verify the lensing
frequency expectations against published lens samples selected in the visible,
finding them to be broadly consistent. We find that JWST could yield ~ 65
lensed systems in COSMOS-Web, of which ~ 25 per cent have source redshifts >4.
Deeper, narrower programs (e.g. JADES-Medium) will probe more typical source
galaxies (in flux and mass) but will find fewer systems (~ 25). Of the surveys
we investigate, we find 55-80 per cent have detectable multiple imaging.
Forthcoming NIR surveys will likely reveal new and diverse strong lens systems
including lensed sources that are at higher redshift (JWST) and dustier, more
massive and older (Euclid NISP) than those typically detected in the
corresponding visible surveys.
