Teaching the common aspects in mechanical, electromagnetic and quantum waves at interfaces and waveguides

Rojas, R.G.; Robles, P.

doi:10.1088/0143-0807/32/6/019

Cited by 2 publications

(3 citation statements)

References 14 publications

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“…As shown in Ref. [17], each component of the electromagnetic field satisfies a Klein-Gordon-like equation:…”

Section: Propagation Of Photons Through a Waveguidementioning

confidence: 96%

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Photon Propagation Through Dispersive Media

Robles¹,

Pizarro²

2017

Wave Propagation Concepts for Near-Future Telecommunication Systems

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In the present chapter, we study the propagation of photons through dispersive media, starting from a description of the dynamics of free photons using a Dirac-like equation with an analysis of the energy solutions arising from this equation. A comparison with the case of a free electron is made. We present an analysis of the interaction between photons with the medium considering both a classical and a quantum treatment of light, and also we analyse the propagation of photons along a waveguide where they behave as if they did have a finite mass. As a technological application of the theoretical frame here presented, we consider the use of the properties of metamaterials to control the propagation of waves through waveguides filled with this kind of materials.

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“…As shown in Ref. [17], each component of the electromagnetic field satisfies a Klein-Gordon-like equation:…”

Section: Propagation Of Photons Through a Waveguidementioning

confidence: 96%

“…Te −ω 2 −iΓ dm (17) where ω pm is the magnetic coupling strength, ω Te is the transverse resonance frequency, and Γ dm is the absorption parameter. The real part of ϵðωÞ and μðωÞ are negative for the following frequency ranges:…”

Section: Classical Model For the Interaction Between Light And Mattermentioning

confidence: 99%

Photon Propagation Through Dispersive Media

Robles¹,

Pizarro²

2017

Wave Propagation Concepts for Near-Future Telecommunication Systems

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“…From the above equations, it can be easily shown that each component of the electromagnetic field satisfies the equation [25]…”

Section: Massive Photons In a Rectangular Waveguidementioning

confidence: 99%

Can there be massive photons? A pedagogical glance at the origin of mass

Robles

Claro

2012

Eur. J. Phys.

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Among the most startling experiences a student encounters is learning that, unlike electrons and other elementary particles, photons have no mass. Under certain circumstances, however, the light quantum behaves as if it did have a finite mass. Starting from Maxwell's equations, we discuss how this arises when light interacts with a charged plasma, or travels along a waveguide. The motion of such photons is analysed using kinematic concepts of special relativity, and we show how a cutoff frequency for effective propagation appears. Seeing how an environment may yield an apparent dynamic mass to the photon paves the way for later understanding: might the Higgs boson field provide other particles, such as the electron, with a mass? This paper is addressed to mid-level physics students, teachers and lecturers, requiring only a knowledge of classical electromagnetic and special relativity theories.

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Teaching the common aspects in mechanical, electromagnetic and quantum waves at interfaces and waveguides

Cited by 2 publications

References 14 publications

Photon Propagation Through Dispersive Media

Photon Propagation Through Dispersive Media

Can there be massive photons? A pedagogical glance at the origin of mass

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