Parity symmetry breaking of the n = 2 infinitegrating eigenmode via nontrivial restructuring of the (a) imaginary Im[f2(x)] and (b) real Re[f2(x)] x-profiles in the complex plane from the even (relative to the center of each grating segment d1/λg = ρ ≈ 0.4, d2/λg = 1 − d1/λg ≈ 0.6) pure imaginary x-profile at large detunings to the complexvalued x-profile without constant spatial component at small detunings as the frequency ω crosses the critical frequency ωc = 4c/λg; ε1 = 6.25, ε2 = 3.9, ρ = 0.3918307, ω = 10 −4 c/λg.