Slowing light has arisen increasing attentions due to its applications for optical switching,
optical hard disk and enhanced photon-matter interaction, especially the system utilizing left-handed
tapered waveguide (LHWG) to demonstrate either oscillatory mode or surface plasmon polariton (SPP)
mode which are the most possible candidates to be commercialized. But both of them suffer from the loss
coming from metal to limit the time to trap photons in the LHWG. Hence, we hire highly contrast
dielectric metamaterials as LHWG to reduce the Ohmic loss from metal and demonstrate slowing light
effect. Our results are confirmed by introducing E-field (or H-field) distribution and power flow
recording in CST simulation software.