The novel ideas of negative refraction index (n) optics suitable for teaching special courses in universities at master's level are systematized and analyzed. The most important innovative ideas in this field are recounted in the logical order necessary for achieving the best understanding of the material. They are: the opposite signs of phase and group velocities of light; the change of the ordered right-hand triad of vectors E, B and V from the right-handed to the left-handed one; the change of the sign of the Doppler effect; the bent of the incident light, when entering the negative n material, in the "wrong" direction; the emergence of new class of materials - artificial metamaterials that have negative n; current state of the search for possibilities to achieve invisibility.

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