During recent years the control and stabilization of the laser emission of semiconductor lasers (SLs) by an external cavity has received considerable attention. Different dynamical regimes, including continuous-wave (CW) states, periodic and quasi-periodic pulsations, low frequency fluctuations, and a coherent collapse were examined. A simplest method for modeling a SL with a weak optical feedback is given by the Lang-Kobayashi (LK) model. The LK modeling approach was also successfully used to get a deeper understanding of the stabilization or destabilization of the CW state by different configurations of the external cavity. In pa1ticular, wavelength stabilized SLs are required for different applications such as frequency conversion, quantum-optical accurate experiments in space, space communications, spectroscopy etc. It is well known, that the lasing wavelength can be stabilized by an integration of a Bragg grating into the laser cavity. Recently, a novel micro-integration approach was used to build a compact, nairnw linewidth External Cavity Diode Laser (ECDL) with a volume holographic Bragg grating [1] ideally suited for quantum-optical precise experiments in space. The ECDL device, schematically represented in Fig. I consists of an active section Sa containing the laser chip, an external holographic volume Bragg grating Sb, and a glass lens S1 located close to the inner facet of the laser chip. Two air gaps Sg• and Sg" separate the active section from the lens and the lens from the Bragg grating, A rigorous way to describe the dynamics of semiconductor lasers with a sho1t external cavity is given by the Traveling Wave (TW) model for the slowly vaiying complex amplitudes E+ (z,t) and E (z,t) of the counter-propagating optical fields For a detailed description of the remaining model equations and pai·ameters we refer to [2]. We repo1t the results of numerical and experimental investigations (see Fig. 2) of the setup presented in Fig. 1, using the TW model (1)-(2). Based on this model, a detailed analysis of the optical modes was perfo1med, and the stability of stationary states was discussed. The results presented show that under appropriate conditions the laser is capable of generating a CW robust behavior appropriate for quantum-optical accurate experiments in space. It is shown, that the simulations and analysis of the device are in good agreement with experiments.