Abstract

An Electromagnetic (EM) radiation in dispersion less free space vacuum is represented by a photon, with corpuscular and wave nature. The discussions, for the past century aimed at the nature of photon inside a media having dispersion in the refraction property, other than free space. What about its nature if the space be of refractive index which is negative, is discussed in this paper. We call mechanical momentum, wave-momentum, and try to match our present theories with intriguing property of this ‘photon’ or pulse carrying EM energy packet, and more so we try to find its property energy, momentum inside a media a positive refractive media, and if the media show a negative refractive index behavior, then these queries are profound, and suitable explanations to these classical concepts of corpuscular-wave nature of photon inside these media are quest for the scientists dealing with these materials having negative index of refraction. Here some of this counterintuitive nature of corpuscular-wave nature of photon inside negative indexed material is brought out, with possible ‘new definition’ of its ‘wave-momentum’, the concept of ‘reactive energy’ inside negative indexed material, along with possible ‘new wave equation’. These definitions and expressions of ‘wave-momentum’ and ‘reactive energy’ pertaining to negative indexed material are new and discussed and derived by classical means.

Highlights

  • We have demonstrated negative refractive index ‘metamaterial’ negative refractive index material (NRM) plasmonic structures in Ka-band

  • Wave-momentum, and try to match our present theories with intriguing property of this ‘photon’ or pulse carrying EM energy packet, and more so we try to find its property energy, momentum inside a media a positive refractive media, and if the media show a negative refractive index behavior, these queries are profound, and suitable explanations to these classical concepts of corpuscular-wave nature of photon inside these media are quest for the scientists dealing with these materials having negative index of refraction

  • In our repeated observations on numerical experiments we get, as to if a pulse of EM radiation is launched inside a negative refractive index material (NRM), gets squeezed sharpened advanced, [1,2,3,4,5,6,7]

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Summary

Introduction

2 discusses the observation of an electromagnetic pulse (a single photon) as it enters NRM region, from free space. We elaborate where they are equal that in wave guides and its similarity in quantum mechanics expressions. Photon) enters the NRM, the two observers will find that they are moving away from each other (Figure 1(c)) This is this nature of wave-momentum that is generator of infinitesimal translations, and the infinitesimal translations of the “waves” corresponds to motion of its crests and troughs, and in NRM ‘opposed to’ the direction of motion of radiation.

E Ew pc
Energy and Momentum Transfer to Media by a Photon
As k F r and
11. Energy Momentum of Gaussian Electromagnetic Pulse
12. Single Photon Momentum Transfer to the Medium
13. Imaginary ‘Reactive Energy’ and ‘Wave-Momentum’ inside Medium
14. Wave Equation for Negative Indexed Material
15. Conclusions
16. Acknowledgement
17. References
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