Modelling Real Valued Functions via Optical Lenses

Home Page
About
Submit A Journal
Submit A Conference
Submit Paper/Book
- Submit a Preprint
- Submit a Book
Contact

Journal of Engineering Technology and Applied Sciences
Volume:9 Issue:2
Modelling Real Valued Functions via Optical Lenses

Modelling Real Valued Functions via Optical Lenses

Pages : 63-70

View : 130 | Download : 77

Publication Date : 2024-08-30

Article Type : Research Paper

Abstract :In this study, we modeled real valued functions using freeform lenses. In our model, the bottom surface of the lens is flat whereas its top surface is determined by a function, f(x). We consider vertically coming light rays with x-coordinate x. Our aim is to find f(x) such that x is mapped to F(x), the horizontal position where the light ray leaves the bottom surface. We have found the nonlinear differential equation for a generic lens to model a given function. Namely, given F(x), the solution of the differential equation gives us the lens surface f(x). Finally, we have calculated the lens surface for four functions numerically and have provided their plots respectively.
Keywords : Freeform lens design, ray optics, mathematical modelling

ORIGINAL ARTICLE URL

* There may have been changes in the journal, article,conference, book, preprint etc. informations. Therefore, it would be appropriate to follow the information on the official page of the source. The information here is shared for informational purposes. IAD is not responsible for incorrect or missing information.