Since the discovery of backward-wave materials, people have tried to realize
strong chiral medium, which is traditionally thought impossible mainly for the
reason of energy and spatial dispersion. We compare the two most popular
descriptions of chiral medium. After analyzing several possible reasons for the
traditional restriction, we show that strong chirality parameter leads to
positive energy without any frequency-band limitation in the weak spatial
dispersion. Moreover, strong chirality does not result in a strong spatial
dispersion, which occurs only around the traditional limit point. For strong
spatial dispersion where higher-order terms of spatial dispersion need to be
considered, the energy conversation is also valid. Finally, we show that strong
chirality need to be realized from the conjugated type of spatial dispersion.Comment: 6 pages, 2 figure