Second-Harmonic Generation Investigated by Topless Potential Well With Inverse Square Root

A short-range topless potential energy with inverse square root is introduced to solve the energy spectrum equations and the bound state wave functions of the static Schrödinger equation by coordinate variation and combining the extraordinary coefficients of the confluent hypergeometric functions....

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Bibliographic Details
Published inIEEE photonics technology letters Vol. 31; no. 9; pp. 693 - 696
Main Authors Yu, Qiucheng, Guo, Kangxian, Hu, Meilin, Zhang, Zhihai
Format Journal Article
LanguageEnglish
Published New York IEEE 01.05.2019
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Coefficient of variation
energy intervals
Energy spectra
Formulas (mathematics)
Frequency conversion
Harmonic analysis
Hypergeometric functions
Mathematical model
Nonlinear optics
Potential energy
Potential well
Second harmonic generation
the product of matrix elements
Topless exponential potential well
Wave functions
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Summary:A short-range topless potential energy with inverse square root is introduced to solve the energy spectrum equations and the bound state wave functions of the static Schrödinger equation by coordinate variation and combining the extraordinary coefficients of the confluent hypergeometric functions. Furthermore, the model of second-harmonic generation (SHG) with this special potential energy V(z) will appear regular changes. In this letter, we explore the specific characteristics of the second-harmonic generation under the inverse square root potential through multiple factors such as energy intervals and matrix elements.
ISSN:1041-1135
1941-0174
DOI:10.1109/LPT.2019.2904621