APPLIED OPTICS, cilt.64, sa.4, ss.957-962, 2025 (SCI-Expanded)
Our objective is to quantify the spectral changes occurring in partially coherent light beams as they interact with the crystalline lens of the human eye. The study reveals a significant alteration in the wavelength of random light beams as they traverse through the human eye. The methodology comprises three key components: the ABCD matrix elements of the lens, the cross-spectral density matrix of the light beam, and the spectral shifts in the beam during propagation. Following an initial examination of how the crystalline human eye lens responds to stochastic light, we can now analyze the interaction of various types of light with the eye lens. The entering light is broadband, exhibiting a range of coherence values from incoherent to fully coherent. By employing the diffraction theory of optics alongside ray tracing methods, we observe wavelength shifts in partially coherent light passing through the human eye lens. The study involves directing unpolarized random light with a cross-sectional radius of approximately 0.3 mm numerically to the lens surface, situated at the minimum pupil radius of around 0.5 mm. The propagation is then analyzed over a distance of 17 mm after the lens, representing the typical length of the vitreous humor. Numerical plots demonstrate a wavelength shift in the incident light (with a Gaussian profile). In summary, our findings indicate that the correlation effects of nearly natural light on the gradient index of the human eye lens lead to a notable spectral shift.