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Optics is an important rudiment of processes involving photonics and decay reactions mediated via photons in the realism of quantum optics (Yeh, 2012). These processes are classified under two major rubrics including geometrical optics and physical optics concerning a novel designing of an optical instrument (Knight, 2017, Pedrotti, 2016, Mondal, 2013). As far as the geometrical optics is concerned, light is treated as a collection of rays, viz. it travels in a straight line, see for instance (Pedrotti, 2016). Thus, in virtue of the above description of light, geometrical optics is further accredited as ray optics. Invoking principles of the ray optics, one successfully comprehends the physical phenomena undermining generalized reflection and refraction laws concerning the propagation of light with phase discontinuities (Genevet, 2011). The aforementioned propositions find a number of fundamental applications by using optical elements, e.g., lenses, mirrors, prisms and optical fibers in experimental observations pertaining to solitons, picosecond pulse narrowing and optical fibers (Mollenauer, 1980). In this concern, Refs. (Kibler, 2016, Zhou, 2016) provide contemporary applications of nonlinear soliton based designing of spatio-temporal inhomogeneous optical fibers at different scales. The above set of optical elements could both be used individually and in their combinations in an image formation process for a chosen object. This shares a closer relationship to multiclass and multi-view detections of the object (Torralba, 2007).
In such formation of an image, involving an arbitrary combination of biconvex and biconcave lenses as well as mirrors, one requires three fundamental rays - - emanating from the object obeying the laws of ray optics - - for the formation of an image (Knight, 2017, Pedrotti, 2016, Mondal, 2013). As far as visual systems are concerned, one can represent both the lenses as a transparent material with two curve surfaces, which respectively refract diverging rays toward and away from the optical axis depending upon whether the chosen lens is positive or negative (Mondal, 2013). Namely, a typical biconvex lens converges the refracted rays to a common point, termed as the focal point of the lens. The objective of the paper is to study the optimization of optical configurations under fluctuations of their system parameters. In this paper, we demonstrate that there exists a clear cut distinction between the positive and negative lenses and mirrors about the line of unit lateral magnification.
Images thus formed via such a combination of lenses could both be real and inverted depending upon the position of the chosen object with respect to the focal length 
, see (Saruwatari, 1981) towards an application of diode fiber coupling involving two confocal lenses. In this paper, we focus on an intrinsic characterization of both the lenses and mirrors. Indeed, if the object is placed away from the focus 
of the lens/ mirror, an image could appear in real and inverted positions with respect to the given object; see for an associated investigation (Goldberg, 1987). In this line of thought, however, one finds that the biconvex lens forms an upright virtual image, if the object is placed at a distance less than
.
Another important type of lens is the biconcave lens, which refracts rays emanating from the object away from the optical axis of the lens. In this regard, Ref. (Choi, 2000) offers an interesting perspective in multiple combinations of biconcave lenses concerning cold neutrons scattering experiments. Furthermore, it is worth mentioning that the biconcave lenses find an essential role in virtual image formations [Choi, 2000]. This is because they are formed as a consequence of an apparent intersection of rays, as opposed to the former case of image formation through a biconvex lens.