Propagation of Rectangular Multi-Gaussian Schell-Model Array Beams through Free Space and Non-Kolmogorov Turbulence
In this paper, rectangular multi-Gaussian Schell-model (MGSM) array beams, which consists N×D beams in rectangular symmetry, are first introduced. The analytical expressions of MGSM array beams propagating through free space and non-Kolmogorov turbulence are derived. The propagation propert...
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MDPI AG
2020-01-01
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| author | Xiaolu Ma Dajun Liu Yaochuan Wang Hongming Yin Haiyang Zhong Guiqiu Wang |
| author_facet | Xiaolu Ma Dajun Liu Yaochuan Wang Hongming Yin Haiyang Zhong Guiqiu Wang |
| author_sort | Xiaolu Ma |
| collection | DOAJ |
| description | In this paper, rectangular multi-Gaussian Schell-model (MGSM) array beams, which consists N×D beams in rectangular symmetry, are first introduced. The analytical expressions of MGSM array beams propagating through free space and non-Kolmogorov turbulence are derived. The propagation properties, such as normalized average intensity and effective beam sizes of MGSM array beams are investigated and analyzed. It is found that the propagation properties of MGSM array beams depend on the parameters of the MGSM source and turbulence. It can also be seen that the beam size of Gaussian beams translated by MGSM array beams will become larger as the total number of terms, M, increases or coherence length, <inline-formula> <math display="inline"> <semantics> <mi>σ</mi> </semantics> </math> </inline-formula>, decreases, and the beam in stronger non-Kolmogorov turbulence (larger <inline-formula> <math display="inline"> <semantics> <mi>α</mi> </semantics> </math> </inline-formula> and <inline-formula> <math display="inline"> <semantics> <mrow> <msub> <mi>l</mi> <mn>0</mn> </msub> </mrow> </semantics> </math> </inline-formula>, or smaller <inline-formula> <math display="inline"> <semantics> <mrow> <msub> <mi>L</mi> <mn>0</mn> </msub> </mrow> </semantics> </math> </inline-formula>) will also have a larger beam size. |
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| institution | Directory Open Access Journal |
| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-12-22T02:56:00Z |
| publishDate | 2020-01-01 |
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| series | Applied Sciences |
| spelling | doaj.art-e65edc4f00984b4d94980661e2db25b82022-12-21T18:41:16ZengMDPI AGApplied Sciences2076-34172020-01-0110245010.3390/app10020450app10020450Propagation of Rectangular Multi-Gaussian Schell-Model Array Beams through Free Space and Non-Kolmogorov TurbulenceXiaolu Ma0Dajun Liu1Yaochuan Wang2Hongming Yin3Haiyang Zhong4Guiqiu Wang5Department of Physics, College of Science, Dalian Maritime University, Dalian 116026, ChinaDepartment of Physics, College of Science, Dalian Maritime University, Dalian 116026, ChinaDepartment of Physics, College of Science, Dalian Maritime University, Dalian 116026, ChinaDepartment of Physics, College of Science, Dalian Maritime University, Dalian 116026, ChinaDepartment of Physics, College of Science, Dalian Maritime University, Dalian 116026, ChinaDepartment of Physics, College of Science, Dalian Maritime University, Dalian 116026, ChinaIn this paper, rectangular multi-Gaussian Schell-model (MGSM) array beams, which consists N×D beams in rectangular symmetry, are first introduced. The analytical expressions of MGSM array beams propagating through free space and non-Kolmogorov turbulence are derived. The propagation properties, such as normalized average intensity and effective beam sizes of MGSM array beams are investigated and analyzed. It is found that the propagation properties of MGSM array beams depend on the parameters of the MGSM source and turbulence. It can also be seen that the beam size of Gaussian beams translated by MGSM array beams will become larger as the total number of terms, M, increases or coherence length, <inline-formula> <math display="inline"> <semantics> <mi>σ</mi> </semantics> </math> </inline-formula>, decreases, and the beam in stronger non-Kolmogorov turbulence (larger <inline-formula> <math display="inline"> <semantics> <mi>α</mi> </semantics> </math> </inline-formula> and <inline-formula> <math display="inline"> <semantics> <mrow> <msub> <mi>l</mi> <mn>0</mn> </msub> </mrow> </semantics> </math> </inline-formula>, or smaller <inline-formula> <math display="inline"> <semantics> <mrow> <msub> <mi>L</mi> <mn>0</mn> </msub> </mrow> </semantics> </math> </inline-formula>) will also have a larger beam size.https://www.mdpi.com/2076-3417/10/2/450optical wave propagationarray beammulti-gaussian schell-model sourcenon-kolmogorov turbulence |
| spellingShingle | Xiaolu Ma Dajun Liu Yaochuan Wang Hongming Yin Haiyang Zhong Guiqiu Wang Propagation of Rectangular Multi-Gaussian Schell-Model Array Beams through Free Space and Non-Kolmogorov Turbulence Applied Sciences optical wave propagation array beam multi-gaussian schell-model source non-kolmogorov turbulence |
| title | Propagation of Rectangular Multi-Gaussian Schell-Model Array Beams through Free Space and Non-Kolmogorov Turbulence |
| title_full | Propagation of Rectangular Multi-Gaussian Schell-Model Array Beams through Free Space and Non-Kolmogorov Turbulence |
| title_fullStr | Propagation of Rectangular Multi-Gaussian Schell-Model Array Beams through Free Space and Non-Kolmogorov Turbulence |
| title_full_unstemmed | Propagation of Rectangular Multi-Gaussian Schell-Model Array Beams through Free Space and Non-Kolmogorov Turbulence |
| title_short | Propagation of Rectangular Multi-Gaussian Schell-Model Array Beams through Free Space and Non-Kolmogorov Turbulence |
| title_sort | propagation of rectangular multi gaussian schell model array beams through free space and non kolmogorov turbulence |
| topic | optical wave propagation array beam multi-gaussian schell-model source non-kolmogorov turbulence |
| url | https://www.mdpi.com/2076-3417/10/2/450 |
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