Academic Journal
Analytical Model of Point Spread Function under Defocused Degradation in Diffraction-Limited Systems: Confluent Hypergeometric Function
| العنوان: | Analytical Model of Point Spread Function under Defocused Degradation in Diffraction-Limited Systems: Confluent Hypergeometric Function |
|---|---|
| المؤلفون: | Feijun Song, Qiao Chen, Xiongxin Tang, Fanjiang Xu |
| المصدر: | Photonics, Vol 11, Iss 5, p 455 (2024) |
| بيانات النشر: | MDPI AG |
| سنة النشر: | 2024 |
| المجموعة: | Directory of Open Access Journals: DOAJ Articles |
| مصطلحات موضوعية: | point spread function, diffraction-limited system, analytical model, confluent hypergeometric function, Applied optics. Photonics, TA1501-1820 |
| الوصف: | In recent years, optical systems near the diffraction limit have been widely used in high-end applications. Evidently, an analytical solution of the point spread function (PSF) will help to enhance both understanding and dealing with the imaging process. This paper analyzes the Fresnel diffraction of diffraction-limited optical systems in defocused conditions. For this work, an analytical solution of the defocused PSF was obtained using the series expansion of the confluent hypergeometric functions. The analytical expression of the defocused optical transfer function is also presented herein for comparison with the PSF. Additionally, some characteristic parameters for the PSF are provided, such as the equivalent bandwidth and the Strehl ratio. Comparing the PSF obtained using the fast Fourier transform algorithm of an optical system with known, detailed parameters to the analytical solution derived in this paper using only the typical parameters, the root mean square errors of the two methods were found to be less than 3% in the weak and medium defocus range. The attractive advantages of the universal model, which is independent of design details, objective types, and applications, are discussed. |
| نوع الوثيقة: | article in journal/newspaper |
| اللغة: | English |
| تدمد: | 2304-6732 |
| Relation: | https://www.mdpi.com/2304-6732/11/5/455; https://doaj.org/toc/2304-6732; https://doaj.org/article/d4749d59126e4b9295bac97dd2538f94 |
| DOI: | 10.3390/photonics11050455 |
| الاتاحة: | https://doi.org/10.3390/photonics11050455 https://doaj.org/article/d4749d59126e4b9295bac97dd2538f94 |
| رقم الانضمام: | edsbas.7C623042 |
| قاعدة البيانات: | BASE |
| تدمد: | 23046732 |
|---|---|
| DOI: | 10.3390/photonics11050455 |