Far-field vector-diffraction of off-axis parabolic mirror under oblique incidence

doi:10.1088/1674-1056/ab683e

Abstract Based on a full vector-diffraction theory, a detailed theoretical study is carried out, aiming at providing a clear insight into the effects of different focusing and off-axis parabola parameters on far-field vector-diffraction properties of an off-axis parabolic mirror in the presence of misalignments of the incoming beam. The physical origin of these effects is also explored. The results show that the far-field intensity profile is altered by the distortion-, coma-, and astigmatism-like aberrations, which are caused by oblique incidence rather than inherent aberrations for the off-axis configuration. The radius of 90% encircled energy also increases but does not change monotonically with incident beam size increasing, or rather, it first decreases and then increases. The focal shift strongly depends on the effective focal length and oblique incidence angle, but it is almost independent of the beam size, which affects the focusing spot patterns. The intensity distribution produces a higher astigmatic image with off-axis angle increasing. Coma-like aberration starts to become dominant with beam size increasing and results in larger curved propagation trajectory. The incident polarization also affects the intensity distribution. The variation in the Strehl ratio with oblique incidence angle strongly depends on the misalignment direction and beam size as well. In addition, we find that the difference in locus between the catacaustic and the diffraction focus in the meridian is small. But the locus of the sagittal foci is obviously different from the locus of the meridian foci and the catacaustic focus. Moreover, the peak intensity of the sagittal focus is maximum, and the ratio of the peak intensity to that in the meridian plane is approximately 1.5. Understanding these effects is valuable for assessing a practical focused intensity and describing the motion of charged particles under a strong electric field in ultraintense laser-matter interaction.

Keywords: laser beam focusing off-axis parabolic mirror vector-diffraction theory oblique incidence

Received: 17 October 2019
Revised: 03 December 2019
Accepted manuscript online:

PACS:	42.25.-p	(Wave optics)
	42.25.Fx	(Diffraction and scattering)
	42.60.Jf	(Beam characteristics: profile, intensity, and power; spatial pattern formation)

Fund: Project supported by the Science Foundation for Youth Scholars of Minjiang University, China (Grant No. Mj9n201602) and the National Science and Technology Major Project of the Ministry of Science and Technology of China.

Corresponding Authors: Xia-Hui Zeng
E-mail: xiahuiz@126.com

Cite this article:

Xia-Hui Zeng(曾夏辉), Xi-Yao Chen(陈曦曜) Far-field vector-diffraction of off-axis parabolic mirror under oblique incidence 2020 Chin. Phys. B 29 034202

[1]	Wilson R N 2004 Reflecting Telescope Optics (Heidelberg: Springer)
[2]	Howard J E 1979 Appl. Opt. 18 2714
[3]	Jeong T M, Weber S, Garrec B L, Margarone D, Mocek T and Korn G 2015 Opt. Express 23 11641
[4]	Leemans W P, Nagler B, Gonsalves A J, Toth Cs, Nakamura K, Geddes C G R, Esarey E, Schroeder C B and Hooker S M 2006 Nat. Phys. 2 696
[5]	Macchi A, Borghesi M and Passoni M 2013 Rev. Mod. Phys. 85 751
[6]	Scarborough J B 1964 Appl. Opt. 3 1445
[7]	Shealy D L and Burkhard D G 1973 Opt. Acta 20 287
[8]	Bell C G, Ockendon H and Ockendon J R 2010 J. Opt. 12 065703
[9]	Arguijo P, Scholl M S and Paez G 2001 Appl. Opt. 40 2909
[10]	Arguijo P, Scholl M S 2003 Appl. Opt. 42 3284
[11]	Bank S W, Rousseau P, Planchon T A, Chvykov V, Kalintchenko G, Maksimchuk A, Mourou G A and Yanovsky V 2005 Appl. Phys. B 80 823
[12]	Ignatovsky V S 1920 Trans. Opt. Inst. Petrograd 1 paper 5
[13]	Varga P and Török P 2000 J. Opt. Soc. Am. A 17 2081
[14]	Stadler J, Stanciu C, Stupperich C and Meixner A J 2008 Opt. Lett. 33 681
[15]	April A and Piché M 2010 Opt. Express 18 22128
[16]	April A, Bilodeau P and Piché M 2011 Opt. Express 19 9201
[17]	Shibata K, Takai M, Uemoto M and Watanabe S 2015 Phys. Rev. A 92 053806
[18]	Peatross J, Berrondo M, Smith D and Ware M 2017 Opt. Express 25 13990
[19]	Chen R, Chen Z, Gao Y, Ding J and He S 2017 Laser Photon. Rev. 11 1700165
[20]	Zeng X and Chen X 2019 Opt. Express 27 1179
[21]	Stratton J A and Chu L J 1939 Phys. Rev. 56 99
[22]	Richards B and Wolf E 1959 Proc. Roy. Soc. A 253 358
[23]	Labate L, Ferrara P, Fulgentini L and Gizzi L A 2016 Appl. Opt. 55 6506
[24]	Levin D 1996 J. Comput. Appl. Math. 67 95
[25]	LaFortune K N, Hurd R L, Fochs S N, Rotter M D, Pax P H, Combs R L, Olivier S S, Brase J M and Yamamoto R M 2007 Proc. SPIE 6454 1
[26]	Vallone G, Parisi G, Spinello F, Mari E, Tamburini F and Villoresi P 2016 Phys. Rev. A 94 023802
[27]	Polynkin P, Kolesik M, Moloney J V, Siviloglou G A and Christodoulides D N 2009 Science 324 229
[28]	Mahajan V N and Dai G 2007 J. Opt. Soc. Am. A 24 2994

[1]	Propagation characteristics of oblique incidence terahertz wave through non-uniform plasma Antao Chen(陈安涛), Haoyu Sun(孙浩宇), Yiping Han(韩一平), Jiajie Wang(汪加洁), Zhiwei Cui(崔志伟). Chin. Phys. B, 2019, 28(1): 014201.
[2]	Oblique incidence properties of locally resonant sonic materials with resonance and Bragg scattering effects Yuan Bo (袁博), Wen Ji-Hong (温激鸿), Wen Xi-Sen (温熙森). Chin. Phys. B, 2013, 22(7): 074302.
[3]	Design of wideband graded-index antireflection coatings at oblique light incidence Zhang Jun-Chao(张俊超), Fang Ming(方明), Jin Yun-Xia(晋云霞), and He Hong-Bo(贺洪波) . Chin. Phys. B, 2012, 21(1): 014202.

No Suggested Reading articles found!

Viewed

Full text

Abstract

Cited

Metrics
Related Articles

Far-field vector-diffraction of off-axis parabolic mirror under oblique incidence

Cite this article:

Online attention