We report the first studies of exciton luminescence spectra from asymmetric double quantum wells (DQWs) of very similar width. The DQWs were of GaAs/AlGaAs and the differences in widths of the coupled wells were one or two monolayers. The coupled direct and indirect exciton states anticross with a resonance splitting of 1.33 meV. An additional luminescence line appearing at low temperatures is identified as a localized indirect exciton.An asymmetric double quantum well (DQW) in which the two QWs are separated by a narrow barrier gives rise to a minimum of four luminescence lines. Two of these are due to recombination of so-called direct exciton (DX) states in which the electron and hole are in the same quantum well and two to indirect exciton (IX) states in which the electron and hole are in different wells [1][2][3][4][5][6]. A number of optical studies have been made of these systems and of the changes in line positions when the relative positions of the energy levels in the two QWs are shifted by an applied electric field F. The energies of the indirect excitons vary approximately linearly with F while those of the direct excitons are approximately fixed. As a result, the DX and IX lines cross or rather anticross since the electrons involved in both emission processes can tunnel through the barrier separating the wells. (In principle this can also happen for holes but in this case the tunnelling rate is too small to produce measurable effects.)In previous studies of such systems [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17], the widths of the coupled quantum wells differed by several monolayers leading to differences in the DX energies of 10 meV or more. In the present work however, the DQWs are only slightly asymmetric, the widths of the coupled QWs differing by only 1 or 2 monolayers (MLs). The main purpose of working with such systems is that they have the potential to operate as tunable spectrometers of non-equilibrium acoustic phonons in the important range below 1000 GHz in which phonons propagate ballistically through material such as GaAs allowing the possibility of detailed study of relaxation and other processes. This work will be discussed in a later paper. In the course of investigating these systems however we have found that the spectroscopic properties of the devices used are very well defined and, of particular note, provide the first observation of indirect exciton localization. It is that aspect of the work that is reported here.