Following the model independent approach to deuteron photodisintegration with linearly polarized γ-rays, we show that the measurements of the tensor analyzing powers on aligned deuterons along with the differential cross-section involve five different linear combinations of the isovector
; j = 0, 1, 2 amplitudes interfering with the isoscalar M1s and E2s amplitudes. This is of current interest in view of the recent experimental finding [M. A. Blackston et al., Phys. Rev. C78 (2008) 034003] that the three
amplitudes are distinct and also the reported experimental observation [B. D. Sawatzky, Ph.D. thesis, University of Virginia (2005)] on the front–back (polar angle) asymmetry in the differential cross-section.