  Dielectric mesoscale spheres have aroused strong interest because of their
potential to localize light at deep subwavelength volume and to yield extremal
internal magnetic and/or electric field enhancements. Recently, we showed that
such particle could support high-order Mie resonance modes with giant field
localization and enhancement. Optimizing the internal fields appears as a key
challenge for enhancing wave matter interactions in dielectric mesoscale
particles. However, a dielectric particle is always located in some medium, and
not in a vacuum. Moreover, the question is how much the environment medium
affects the internal field intensities enhancement in the super-resonance
effect. Based on Mie theory we show for the first time that the presence of the
environment leads to a significant decrease in the intensity of the field in
the particle. Thus, the study of the effect of super-resonance becomes
meaningless without taking into account the environment. However, a greater
enhancement of the internal field is found for the blue-shifted Mie size
parameter of the sphere when the particle, for example, is in air rather than
in vacuum.
