Abstract: By means of classification and induction，some new variant structures of Newton—type interference apparatus for two crossed convex(or concave)column lens are found and studied，which can generate equal—thickness elliptical(or hyperbola)fringes.The interference conditions and distribution laws of the fringes are derived，analyzed，and formulized in a unified form.Compared with the original interferometer for Newton’s rings，our new designed interferometers are of not only similarity but also novelty.Thus，the academic research scope for the interferometry of Newton’s rings has been extended，and their possible technique applications are concisely indicated.

Key words: Newton&rsquo, s rings, interference, equal&mdash, thickness interference, column lens, elliptic fringes, hyperbolic fringes