UDC 621.378.35By comparing experimental and theoretical radiative recombination spectra, we have determined the values of the square of the matrix element for interband optical transitions ⏐M⏐ 2 in epitaxial GaN at different temperatures T. The data obtained were used to analyze the mechanism for the temperature dependence of the lasing threshold for a GaN laser. In the experiments, we used epitaxial layers of GaN with a wurtzite crystal structure, grown on Al 2 O 3 (0001) substrates and excited by a focused beam from a nitrogen laser. We have shown that the spontaneous emission spectra near the lasing threshold of a GaN laser are consistent with the model of optical interband transitions not obeying a selection rule for the electron wave vector. As we have established, the parameter ⏐M⏐ 2 practically does not vary for T = 300-470 K: 5.4⋅10 -73 kg 2 ⋅m 5 /sec 2 . Further increase in the temperature leads to an exponential fall-off in ⏐M⏐ 2 down to 3.4⋅10 -73 kg 2 ⋅m 5 /sec 2 at T ≈ 520 K. Such behavior of ⏐M⏐ 2 as a function of temperature correlates with the sudden increase in the nonradiative recombination rate at T > 470 K, and may be connected with a change in the recombination mechanisms in the active layer of the GaN laser in the high temperature region.Key words: gallium nitride, lasing threshold, matrix element, radiative and nonradiative recombination.Introduction. Wide-gap semiconductor materials based on GaN are of great interest for developers of various optoelectronic devices. Researchers have directed significant efforts toward design of high-efficiency laser structures emitting in the blue region of the spectrum at elevated temperatures of the active medium [1-3]. Today the optical properties of such structures are being intensively studied [4][5][6][7][8][9]. Nevertheless, many physical processes observed in the active layers of GaN-based emitters remain insufficiently studied. This includes in particular the phenomenon of the rapid rise in the threshold pump rate R p of epitaxial GaN laser structures as the temperature T of the medium increases above some critical value T b [4]. As shown in [5,6], this type of variation in R p (T) is mainly explained by the features of the temperature variation of the radiative (R sp ) and nonradiative (Q) recombination rates. However, this approach gives only general ideas about the possible reason for the strong temperature dependence of the lasing threshold in GaN semiconductor lasers. For a detailed explanation of the mechanism for the rapid rise in R p (T), we need to take into account additional parameters more precisely characterizing the optical transition rate.In this paper, we present a method for determining the square of the interband optical transition matrix element ⏐M⏐ 2 in the active layer of a semiconductor laser. The method is based on comparing the experimental and theoretical spectra for radiative recombination at the lasing threshold. The values of ⏐M⏐ 2 obtained were used for analysis of the mechanism of radiative recombination in epitaxial ...