Waveguides, Resonant Cavities, Optical Fibers and Their Quantum Counterparts

Barsan, Victor

doi:10.5772/34589

Cited by 5 publications

(8 citation statements)

References 21 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Using the analogy between the movement of electrons in time-independent potentials and propagation of electromagnetic waves in dielectrics or metallic wave guides [18], mathematically, they are identical Sturm-Liouville problems; our results can be extended to several problems of electromagnetism and optics. This analogy can be easily developed for planar dielectric waveguides, namely, for "step-index" dielectrics, consisting of a slab of higher refractive index (core), sandwiched between two half spaces of lower refractive index (cladding).…”

Section: Discussionmentioning

confidence: 87%

“…Graphical solutions are proposed by Guest [16], who made visible the similarities between the bound-state energies in a finite well and the modes of a metallic wave guide ( [17]; fig. (8.14)); actually, both the electrodynamic and quantum mechanical problems are equivalent forms of the same Sturm-Liouville problem [18]. Aronstein and Stroud [19] wrote the eigenvalue equation as…”

Section: Solving the Eigenvalue Equation Of The Finite Well: A Histormentioning

confidence: 99%

See 1 more Smart Citation

Quantum Wells and Ultrathin Metallic Films

Barsan¹

2018

Heterojunctions and Nanostructures

Self Cite

View full text Add to dashboard Cite

The chapter illustrates how simple quantum mechanics can sometimes provide quite precise description of nanophysics phenomena. From this perspective, both exact and approximate solutions for the bound-state energy of an electron in a square well are exposed. These results are used to improve the calculation of quantum size effects (QSEs) in ultrathin metallic films, obtained by several authors with simpler models of quantum wells. We show that, for a small (less than 5) number of monolayers, the differences between the predictions of these simpler models, and our approach, are important. Methods to improve the accuracy in the evaluation of various quantum size effects are shortly discussed. Using quantum mechanical-electromagnetic analogies, our results can be used in the study of light propagation in dielectric wave guides.

show abstract

Section: Discussionmentioning

confidence: 87%

Section: Solving the Eigenvalue Equation Of The Finite Well: A Histormentioning

confidence: 99%

Quantum Wells and Ultrathin Metallic Films

Barsan¹

2018

Heterojunctions and Nanostructures

Self Cite

View full text Add to dashboard Cite

show abstract

“…the energy of the bound states, are negative, which corresponds to the usual convention adopted in quantum mechanics. However, the form (30) of the potential has the advantage -also mentioned previously -that its levels become, in the limit of a very deep well, the levels of the infinite well. It is indeed easy to see that, for n → ∞, so for very deep wells, the quantization condition for the wave vector becomes k n a ≃ nπ, so…”

Section: The Quantum Square Wellmentioning

confidence: 86%

“…Also, the energy levels of the semi-infinite well, corresponding to the limit U 0 → ∞ in (30), are given by:…”

Section: The Quantum Square Wellmentioning

confidence: 99%

“…It is well known that the Sturm -Liouville problems in optics and quantum mechanics can be identical [29], [30], so the quantized values of the wave vector of the quantum mechanical problem correspond perfectly to the normal modes of transversal electric field in resonant cavities, wave guides or heterostructure lasers, so our solutions of the energy eigenvalues can be applied also in optics and electromagnetism.…”

Section: Ultra-thin Metallic Filmsmentioning

confidence: 99%

See 1 more Smart Citation

Square wells, quantum wells and ultra-thin metallic films

Barsan

2013

Philosophical Magazine

Self Cite

View full text Add to dashboard Cite

The eigenvalue equations for the energy of bound states of a particle in a square well are solved, and the exact solutions are obtained, as power series. Accurate analytical approximate solutions are also given. The application of these results in the physics of quantum wells are discussed,especially for ultra-thin metallic films, but also in the case of resonant cavities, heterojunction lasers, revivals and super-revivals.

show abstract

Basic modelling of transport in 2D wave-mechanical nanodots and billiards with balanced gain and loss mediated by complex potentials

Berggren

Tellander

Yakimenko

2018

J. Phys.: Condens. Matter

View full text Add to dashboard Cite

Non-Hermitian quantum mechanics with parity-time (PT) symmetry is presently gaining great interest, especially within the fields of photonics and optics. Here, we give a brief overview of low-dimensional semiconductor nanodevices using the example of a quantum dot with input and output leads, which are mimicked by imaginary potentials for gain and loss, and how wave functions, particle flow, coalescence of levels and associated breaking of PT symmetry may be analysed within such a framework. Special attention is given to the presence of exceptional points and symmetry breaking. Related features for musical string instruments and 'wolf-notes' are outlined briefly with suggestions for further experiments.

show abstract

Waveguides, Resonant Cavities, Optical Fibers and Their Quantum Counterparts

Cited by 5 publications

References 21 publications

Quantum Wells and Ultrathin Metallic Films

Quantum Wells and Ultrathin Metallic Films

Square wells, quantum wells and ultra-thin metallic films

Basic modelling of transport in 2D wave-mechanical nanodots and billiards with balanced gain and loss mediated by complex potentials

Contact Info

Product

Resources

About