  In fiber-based spectroscopy within telescopes, a prevailing limitation has
been the necessity to align the fiber diameter with the telescope's seeing
conditions, often characterized by the Full Width at Half Maximum of the point
spread function. This alignment constraint captures around 50 \% of the
incoming flux from any point source. Furthermore, the challenge is compounded
when high-resolution spectroscopy is in play, as it often demands a minute slit
width, further exacerbating flux loss. The essence of this paper lies in a
comprehensive exploration, accomplished through theoretical simulations, of
strategies aimed at enhancing the coupling efficiency of high-resolution
spectrographs. The primary objective is to bolster the flux capture without
compromising the critical aspect of spectral resolution. This research
endeavors to unlock the potential for more effective utilization of
high-resolution spectrographs to study celestial objects.
