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Resonant Tunneling: Quantum Waveguides of Variable Cross-Section, Asymptotics, Numerics, and Applications: Lecture Notes on Numerical Methods in Engineering and Sciences

Autor Lev Baskin, Pekka Neittaanmäki, Boris Plamenevskii, Oleg Sarafanov
en Limba Engleză Paperback – 4 mar 2022
This book studies electron resonant tunneling in two- and three-dimensional quantum waveguides of variable cross-sections in the time-independent approach. Mathematical models are suggested for the resonant tunneling and develop asymptotic and numerical approaches for investigating the models. Also, schemes are presented for several electronics devices based on the phenomenon of resonant tunneling. Compared to its first edition, this book includes four new chapters, redistributes the content between chapters and modifies the estimates of the remainders in the asymptotics of resonant tunneling characteristics. The book is addressed to mathematicians, physicists, and engineers interested in waveguide theory and its applications in electronics.
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Specificații

ISBN-13: 9783030664589
ISBN-10: 3030664589
Ilustrații: XI, 329 p. 102 illus., 28 illus. in color.
Dimensiuni: 155 x 235 mm
Greutate: 0.48 kg
Ediția:2nd ed. 2021
Editura: Springer International Publishing
Colecția Springer
Seria Lecture Notes on Numerical Methods in Engineering and Sciences

Locul publicării:Cham, Switzerland

Cuprins

1. Introduction.- 2. Waveguides. Radiation Principle. Scattering Matrices.- 3. Properties of Scattering Matrices in a Vicinity of Thresholds.- 4. Method for Computing Scattering Matrices.- 5. Asymptotic and Numerical Studies of Resonant Tunneling in 2D-Waveguides for Electrons of Small Energy.- 6. Resonant Tunneling in 2D-Waveguides with Several Resonators.- 7. Resonant Tunneling of High-Energy Electrons in 2D-Waveguides.- 8. Numerical Simulation of High Energy Electron Transport.- 9. The Impact of a Finite Waveguide Work Function on Resonant Tunneling.- 10. Asymptotics of Resonant Tunneling in 3D Waveguides for Electrons of Small Energy.- 11. Resonant Tunneling in 2D Waveguides in Magnetic Field.- 12. Effect of Magnetic Field on Resonant Tunneling in 3D Waveguides of Variable Cross-Section.- 13. Asymptotic Analysis of Multichannel Resonant Tunneling.- 14. Electronics Devices Based on Resonant Tunneling.


Textul de pe ultima copertă

This book studies electron resonant tunneling in two- and three-dimensional quantum waveguides of variable cross-sections in the time-independent approach. Mathematical models are suggested for the resonant tunneling and develop asymptotic and numerical approaches for investigating the models. Also, schemes are presented for several electronics devices based on the phenomenon of resonant tunneling. Compared to its first edition, this book includes four new chapters, redistributes the content between chapters and modifies the estimates of the remainders in the asymptotics of resonant tunneling characteristics. The book is addressed to mathematicians, physicists, and engineers interested in waveguide theory and its applications in electronics.


Caracteristici

New asymptotic and numerical methods of scattering theory in waveguides Results can be used to create and investigate new nano- and microelectronics elements Models of new electronics devices are suggested

Recenzii

“The book is concerned with mathematical models for resonant tunneling in two- and three-dimensional quantum waveguides of variable cross-section. … The book does not require an advanced background and is practically self-consistent. It is addressed to a wide audience and can interest, in particular, mathematicians, physicists and engineers involved in research activity in the field of resonant quantum waveguides.” (Vittorio Romano, Mathematical Reviews, October, 2016)