Owing to its simple structure and high light output, Brillouin scattering detection technology based on single-stage virtually imaged phase array (VIPA) spectroscopy has enabled the rapid detection of transparent biological tissue elasticity. The cornea and lens are typical transparent biological tissues. However, elastic scattering can easily overwhelm the weak Brillouin signal in a single-stage VIPA spectrometer, thereby limiting the signal-to-noise ratio and resolution enhancement. This problem has hindered further clinical applications of single-stage VIPA technology. Therefore, this paper investigated theoretical and experimental methods for improving the performance of single-stage VIPA spectroscopy. Theoretically, a paraxial approximate dispersion model of the VIPA was constructed to investigate the variations in the dispersion ratio with the collimated beam radius in front of the cylindrical lens, the focal lengths of the cylindrical and spherical lenses, and the tilt angle of the VIPA. The dispersion rate was primarily affected by the focal length of the spherical lens, the VIPA tilt angle, and the detector resolution. Experimentally, a signal-receiving device combining a zoom lens and high-resolution complementary metal-oxide semiconductor camera was designed and matched to the system. This device balances the dispersion rate and scattering signal intensity, optimizes the parameters of the spectrometer system, and improves the system performance. This paper originally reports the two-dimensional frequency-shift imaging of ex-vivo porcine cornea and lens using a single-stage VIPA spectrometer. The results of this study are expected to advance the field of clinical diagnosis and treatment using single-stage VIPA spectroscopy.