Regression and Correlation-Based Modeling of Nonlinear Optical Response in Quantum Wells

Muhammed Sayraç; Emre Yalçın

doi:10.17776/csj.1662124

Regression and Correlation-Based Modeling of Nonlinear Optical Response in Quantum Wells

Abstract

This study investigates the nonlinear optical properties of quantum wells (QWs) by analyzing the energy eigenvalues and eigenfunctions of confined electrons. The nonlinear optical rectification (NOR) coefficient was numerically calculated under various structural parameters and external fields. To establish relationships between the system’s energy eigenvalues, dipole moment matrix elements, and NOR coefficient, regression and correlation analyses were conducted using IBM SPSS Statistics. Linear, quadratic, and cubic regression models were evaluated, with the cubic model demonstrating the best fit. Model accuracy was assessed using several evaluation metrics, including coefficient of determination (R²), mean absolute percentage error (MAPE), mean absolute error (MAE), mean square error (MSE), and root mean square error (RMSE) values for different external factors (temperature, pressure, electric field, barrier width, and barrier thickness). The results indicate that predictive modeling of the NOR coefficient enhances experimental efficiency by reducing cost and time while providing a reliable framework for understanding the optical behavior of QWs. This study offers a data-driven approach to optimizing nonlinear optical responses, contributing to advancements in optoelectronic applications.

Keywords

References

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Details

Primary Language

English

Subjects

Nonlinear Optics and Spectroscopy, Lasers and Quantum Electronics

Journal Section

Research Article

Authors

Muhammed Sayraç ^*
0000-0003-4373-6897
Türkiye

Emre Yalçın
0000-0003-3818-6712
Türkiye

Publication Date

December 30, 2025

Submission Date

March 20, 2025

Acceptance Date

October 6, 2025

Published in Issue

Year 2025 Volume: 46 Number: 4

DOI

https://doi.org/10.17776/csj.1662124

IZ

https://izlik.org/JA56YK34ZL

Cite

RIS / Bibtex

APA

Sayraç, M., & Yalçın, E. (2025). Regression and Correlation-Based Modeling of Nonlinear Optical Response in Quantum Wells. Cumhuriyet Science Journal, 46(4), 937-948. https://doi.org/10.17776/csj.1662124

AMA

1.Sayraç M, Yalçın E. Regression and Correlation-Based Modeling of Nonlinear Optical Response in Quantum Wells. CSJ. 2025;46(4):937-948. doi:10.17776/csj.1662124

Chicago

Sayraç, Muhammed, and Emre Yalçın. 2025. “Regression and Correlation-Based Modeling of Nonlinear Optical Response in Quantum Wells”. Cumhuriyet Science Journal 46 (4): 937-48. https://doi.org/10.17776/csj.1662124.

EndNote

Sayraç M, Yalçın E (December 1, 2025) Regression and Correlation-Based Modeling of Nonlinear Optical Response in Quantum Wells. Cumhuriyet Science Journal 46 4 937–948.

IEEE

[1]M. Sayraç and E. Yalçın, “Regression and Correlation-Based Modeling of Nonlinear Optical Response in Quantum Wells”, CSJ, vol. 46, no. 4, pp. 937–948, Dec. 2025, doi: 10.17776/csj.1662124.

ISNAD

Sayraç, Muhammed - Yalçın, Emre. “Regression and Correlation-Based Modeling of Nonlinear Optical Response in Quantum Wells”. Cumhuriyet Science Journal 46/4 (December 1, 2025): 937-948. https://doi.org/10.17776/csj.1662124.

JAMA

1.Sayraç M, Yalçın E. Regression and Correlation-Based Modeling of Nonlinear Optical Response in Quantum Wells. CSJ. 2025;46:937–948.

MLA

Sayraç, Muhammed, and Emre Yalçın. “Regression and Correlation-Based Modeling of Nonlinear Optical Response in Quantum Wells”. Cumhuriyet Science Journal, vol. 46, no. 4, Dec. 2025, pp. 937-48, doi:10.17776/csj.1662124.

Vancouver

1.Muhammed Sayraç, Emre Yalçın. Regression and Correlation-Based Modeling of Nonlinear Optical Response in Quantum Wells. CSJ. 2025 Dec. 1;46(4):937-48. doi:10.17776/csj.1662124

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