A sample of 16 blue compact dwarf galaxies ( BCDs ) in the Virgo Cluster has been imaged in the near-infrared ( NIR ) in J and K _ { s } on the 2.1m telescope at OAN-SPM in Mexico .
Isophotes as faint as \mu _ { J } = 24 mag arcsec ^ { -2 } and \mu _ { K _ { s } } = 23 mag arcsec ^ { -2 } have been reached in most of the targets .
Surface brightness profiles can be fitted across the whole range of radii by the sum of two components : a hyperbolic secant ( sech ) function , which is known to fit the light profiles of dIs , and a Gaussian component , which quantifies the starburst near the centre .
Isophotal and total fitted NIR magnitudes have been calculated , along with semimajor axes at \mu _ { J } = 23 mag arcsec ^ { -2 } and \mu _ { K _ { s } } = 22 mag arcsec ^ { -2 } .
The diffuse underlying component and the young starburst have been quantified using the profile fitting .
Most color profiles show a constant color , between J - K _ { s } = 0.7 to 0.9 mag .
The diffuse component represents the overwhelming majority of the NIR light for most BCDs , the starburst enhancing the flux by less than about 0.3 mag .
Linear correlations were found between the sech scale length and the sech magnitude , and between the sech semimajor axis and the sech magnitude .
Overall , galaxies with more luminous diffuse components are larger and brighter in the centre .
The central burst correlates with the diffuse component , with brighter BCDs having stronger star-bursts , suggesting that more massive objects are forming stars more efficiently .
BCDs lie on the “ fundamental plane ” defined by dwarf irregulars ( dISs ) in Paper I , following the same relation between sech absolute magnitude , sech central surface brightness , and the hydrogen line-width W _ { 20 } , although the scatter is larger than for the dIs .
On the other hand , correlations between the sech absolute magnitude and the sech central surface brightness in K _ { s } for BCDs and dIs are equally good , indicating that BCD line widths may be enhanced by turbulence or winds .