
Investigation on angle of incidence and light reflectance
- 1 Brandeis University
* Author to whom correspondence should be addressed.
Abstract
Illuminance is a measurement proportional to the intensity of light. When light is incident on a surface, the angle it makes with the normal vector of the surface plane is the angle of incidence. This paper focuses on an investigation of the relationship between the illuminance of reflected light from a glass block and the angle of incidence of the light on the block. By applying Fresnel’s coefficients, an expression for the illuminance of reflected light is derived in terms of the angle of incidence. The controlled measurements, including the illuminance of s-polarized and p-polarized light of a green laser (532nm), are directly measured to arrive at a set of calculated reflected illuminance at 10 different angles of incidence. The reflected illuminance is also experimentally measured with a light sensor at these angles. Upon the comparison between the two sets of data in this paper, a close resemblance of the shape of their curves is observed, both revealing an increasing reflected illuminance with a growing rate with respect to the increase of the angle of incidence. However, due to some expected systematic errors in the experiment, the calculated data has a generally higher reflected illuminance than the theoretical data at each angle of incidence. Overall, it is confirmed that as the angle of incidence increases, the illuminance of the reflected light increases with a growing rate.
Keywords
Light, Reflectance, Illuminance, Angle
[1]. How to convert lux to watts (n.d.). Retrieved August 5, 2022, from https://www.rapidtables.com/calc/light/how-lux-to-watt.html#:~:text=Lux%20and%20watt% 20units%20represent,t%20convert%20lux%20to%20watts.
[2]. Peatross, J. and Ware, M. (2019). Physics of light and Optics. Brigham Young University, Department of Physics.
[3]. Zaporozhchenko-Zymaková, A., Kutnyakhov, D., Medjanik, K., Tusche, C., Fedchenko, O., Chernov, S., Ellguth, M., Nepijko, S. A., Elmers, H. J. and Schönhense, G. (2017). Momentum-resolved photoelectron absorption in Surface Barrier Scattering on Ir(111) and Graphene/IR(111). Physical Review B, 96(15). doi:10.1103/physrevb.96.155108.
[4]. Paschotta, D. R. (2012). Conflicting definitions of s and P Polarization. The Photonics Spotlight. Retrieved October 5, 2022, from https://www.rp-photonics.com/spotlight_ 2012_03_03.html#:~:text=Usually%2C%20p%2Dpolarized%20light%20is,perpendicular%2C%20p%20%3D%20parallel.
[5]. Bhattacharjee, P. R. (2005). The generalized vectorial laws of reflection and refraction. European Journal of Physics, 26(5), 901–911. doi:10.1088/0143-0807/26/5/022.
[6]. Hung, K.-Y., Wu, P.-H., Tsai, T.-W., Shye, D.-C. and Wu, H.-chien. (2009). Application of fresnel equations to improve interface reflection of inclined exposure and develop micro-mirrors for blu-ray dvds. 2009 IEEE International Conference on Industrial Technology. doi:10.1109/icit.2009.4939491.
[7]. Sen, A. (2021). Fresnel equations for Reflection & transmission | elaborate lesson | ready notes for exam. | YouTube. Retrieved September 16, 2022, from https://www. youtube.com/watch?v=AbD--ZGql8Q.
Cite this article
Chen,Z. (2024). Investigation on angle of incidence and light reflectance. Theoretical and Natural Science,34,33-41.
Data availability
The datasets used and/or analyzed during the current study will be available from the authors upon reasonable request.
Disclaimer/Publisher's Note
The statements, opinions and data contained in all publications are solely those of the individual author(s) and contributor(s) and not of EWA Publishing and/or the editor(s). EWA Publishing and/or the editor(s) disclaim responsibility for any injury to people or property resulting from any ideas, methods, instructions or products referred to in the content.
About volume
Volume title: Proceedings of the 3rd International Conference on Computing Innovation and Applied Physics
© 2024 by the author(s). Licensee EWA Publishing, Oxford, UK. This article is an open access article distributed under the terms and
conditions of the Creative Commons Attribution (CC BY) license. Authors who
publish this series agree to the following terms:
1. Authors retain copyright and grant the series right of first publication with the work simultaneously licensed under a Creative Commons
Attribution License that allows others to share the work with an acknowledgment of the work's authorship and initial publication in this
series.
2. Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the series's published
version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgment of its initial
publication in this series.
3. Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and
during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See
Open access policy for details).