A diagram, essentially a graph in the form of a right-angled isosceles triangle of consequent dimensions, 1 ,1, sqrt2 is developed and which represents, in dimensionless form, the individual spectrums of electromagnetic radiation in all media of constant index of refraction. Initially, the metric coordinates associated with the construction are rendered dimensionless by employing the Planck frequency, (V), and Planck length, (L), regarded as a wavelength, as scaling factors. Hence, for the diagram shown here the dimensioned spectrums lie in the ranges, 0 to (V) and infinity to (L).
Further, it is shown that the diagram is universal, in that , other diagrams, covering different ranges, but with identical shape may be constructed provided that the product of the scaling factors of frequency and wavelength is equal to the speed of light in vacuo.
Inhaltsverzeichnis (Table of Contents)
- Introduction
- The radiation Strouhal number
- The structure equation
- The Fidler diagram
- Epilogue
- References
Zielsetzung und Themenschwerpunkte (Objectives and Key Themes)
The primary objective of this work is to introduce a new dimensionless representation of the electromagnetic spectrum in all media of constant index of refraction, referred to as the Fidler diagram. The diagram aims to unify the electromagnetic spectrum and the index of refraction within a single visualization, offering a compact and pedagogical tool for understanding these concepts.
- Development of a new diagram for visualizing the electromagnetic spectrum in various media.
- Introduction of the concept of a radiation Strouhal number, derived from the Strouhal number in Fluid Dynamics.
- Exploration of the relationship between the radiation Strouhal number and the index of refraction.
- Analysis of the universality of the Fidler diagram and its application in different media.
- Discussion of the pedagogical value of the Fidler diagram and its ability to showcase trends observed in real substances.
Zusammenfassung der Kapitel (Chapter Summaries)
- Introduction: This chapter introduces the concept of unifying the electromagnetic spectrum and the index of refraction within a single diagram, the Fidler diagram. It highlights the pedagogical value of this approach, particularly for understanding ideal media.
- The radiation Strouhal number: This chapter defines the radiation Strouhal number, a dimensionless quantity analogous to the Strouhal number in Fluid Dynamics, and explores its relationship to the index of refraction. It emphasizes the inverse relationship between these two quantities and their relevance in understanding the behavior of electromagnetic radiation in different media.
Schlüsselwörter (Keywords)
Electromagnetic spectrum, index of refraction, Fidler diagram, radiation Strouhal number, dimensionless representation, pedagogical tool, ideal media, dispersive effects, Bose-Einstein condensate.
- Citar trabajo
- William Fidler (Autor), 2018, The Fidler Diagram. A compact and dimensionless representation of the spectrum of electromagnetic radiation in all media of constant index of refraction, Múnich, GRIN Verlag, https://www.grin.com/document/452282
