Optical beam distortions induced by a shock wave

V. A. Banakh; A. A. Sukharev; A. V. Falits

doi:10.1364/AO.54.002023

Applied Optics
Vol. 54,
Issue 8,
pp. 2023-2031
(2015)
•https://doi.org/10.1364/AO.54.002023

Optical beam distortions induced by a shock wave

V. A. Banakh, A. A. Sukharev, and A. V. Falits

Not Accessible

Your library or personal account may give you access

Get PDF
Email
Share
Get Citation
Copy Citation Text
V. A. Banakh, A. A. Sukharev, and A. V. Falits, "Optical beam distortions induced by a shock wave," Appl. Opt. 54, 2023-2031 (2015)

Export Citation
- BibTex
- Endnote (RIS)
- HTML
- Plain Text
Citation alert
Save article

Abstract

The mean intensity and the displacement from the initially given propagation direction of the optical beam passed through the shock wave have been calculated. It has been shown that the spatial inhomogeneity of the refractive index of air caused by the shock wave arising in supersonic flow flowing a conical body can cause the focusing of the beam and strong anisotropic distortions of the intensity distribution in its cross section. The angular displacement of the optical beam from the initially given propagation direction owing to the shock wave depends only on the height above the Earth’s surface at which the shock wave is formed. As the height increases, the influence of the shock wave on the optical beam propagating through it decreases.

Full Article | PDF Article

More Like This

Optical distortion in the field of a lithotripter shock wave

M. T. Carnell and D. C. Emmony
Appl. Opt. 34(28) 6465-6470 (1995)

Characterization of laser-induced shock waves generated during infrared laser ablation of copper by the optical beam deflection method

Z. U. Rehman, A. Raza, H. Qayyum, S. Ullah, S. Mahmood, and A. Qayyum
Appl. Opt. 61(29) 8606-8612 (2022)

Experimental investigation of nanosecond laser-induced shock waves in water using multiple excitation beams

Zhi Yang, Hengzhu Bao, Lunan Dai, Hongchao Zhang, and Jian Lu
Opt. Express 31(13) 21845-21862 (2023)

Previous Article Next Article

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Figures (9)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Tables (2)

You do not have subscription access to this journal. Article tables are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Equations (6)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Height, km	Path Length, km	Initial Radius $a$ , cm	Diffractive Radius $a_{d}$ , cm	Effective Regular Radius $a_{eff, reg}$ cm	Effective Radius $a_{eff}$ , cm
5	1	5	5.01	4.82	4.93
		25	25	22.04	22.26
	10	5	6.03	3.84	4.56
		25	25	6.05	8.61
	20	5	8.4	7.04	8.05
		25	25.03	3.07	5.32
	100	5	34.1	43.04	45.5
		25	25.9	36.9	117.2
	1000	5	337.4	459.06	477
		25	72	650.85	1137
10	1	5	5.01	4.92	4.92
		25	25	24.07	23.93
	10	5	6.03	4.73	5.08
		25	25	13.87	16.39
	20	5	8.4	7.05	7.51
		25	25.03	8	11.03
	100	5	34.1	36.2	37.3
		25	25.9	50.23	51.87
	1000	5	337.4	376.6	384.7
		25	72	659.5	802.47
20	1	5	5.01	4.98	5
		25	25	24.72	24.78
	10	5	6.03	5.7	5.77
		25	25	22.25	22.89
	20	5	8.4	7.96	8.03
		25	25.03	20.18	20.84
	100	5	34.1	33.9	34.02
		25	25.9	10.37	11.42
	1000	5	337.4	340.1	340.9
		25	72	165.2	150.4

Height, km	Path, km	Initial Radius $a$ , cm	Regular Displacement $σ_{r, reg}$ , cm	Angular Regular Displacement $α_{r, reg}$ , arcsec	Regular Displacement in Turbulent Shock Wave $σ_{r}$ , cm	Angular Regular Displacement in Turbulent Shock Wave $α_{r}$ , arcsec	Beam Wander Standard Deviation $σ_{c}$ , cm	Angular Beam Wander Standard Deviation $α_{c}$ , arcsec
5	1	5	2.21	4.55	2.32	4.75	0.28	0.58
		25	2.13	4.39	2.3	4.74	0.2	0.41
	10	5	21.61	4.46	23	4.73	1.84	0.38
		25	19.76	4.07	21.4	4.41	1.95	0.4
	20	5	42.86	4.42	45.56	4.7	3.52	0.36
		25	40.82	4.21	44	4.54	2.6	0.27
	100	5	220.42	4.54	232.6	4.8	18.5	0.38
		25	204.51	4.22	217.3	4.48	15.48	0.32
	1000	5	2209.63	4.56	2329	4.8	187.06	0.38
		25	2229.14	4.6	2272.8	4.69	182.22	0.37
10	1	5	1.29	2.67	1.3	2.69	0.17	0.35
		25	1.26	2.6	1.33	2.74	0.14	0.29
	10	5	12.7	2.39	13	2.69	1.05	0.22
		25	12.67	2.61	13.32	2.75	1.03	0.21
	20	5	25.2	2.6	26	2.69	1.92	0.2
		25	22.94	2.36	24.5	2.53	1.67	0.17
	100	5	130.7	2.7	135	2.78	9.75	0.2
		25	115.72	2.38	123.5	2.55	7.17	0.15
	1000	5	1309	2.7	1350	2.78	97.3	0.2
		25	1280.62	2.64	1319.5	2.72	87.82	0.18
20	1	5	0.33	0.68	0.34	0.72	0.09	0.18
		25	0.32	0.66	0.34	0.71	0.08	0.16
	10	5	2.68	0.55	2.82	0.58	0.24	0.05
		25	2.6	0.54	2.82	0.58	0.2	0.04
	20	5	5.3	0.55	5.6	0.57	0.45	0.05
		25	5.2	0.54	5.63	0.58	0.45	0.05
	100	5	31.4	0.65	32.9	0.68	3	0.06
		25	31	0.64	32.67	0.57	2.3	0.05
	1000	5	314.2	0.65	329.5	0.68	27.9	0.06
		25	286.31	0.54	300.37	0.62	17.03	0.03

Height, km	Path Length, km	Initial Radius $a$ , cm	Diffractive Radius $a_{d}$ , cm	Effective Regular Radius $a_{eff, reg}$ cm	Effective Radius $a_{eff}$ , cm
5	1	5	5.01	4.82	4.93
		25	25	22.04	22.26
	10	5	6.03	3.84	4.56
		25	25	6.05	8.61
	20	5	8.4	7.04	8.05
		25	25.03	3.07	5.32
	100	5	34.1	43.04	45.5
		25	25.9	36.9	117.2
	1000	5	337.4	459.06	477
		25	72	650.85	1137
10	1	5	5.01	4.92	4.92
		25	25	24.07	23.93
	10	5	6.03	4.73	5.08
		25	25	13.87	16.39
	20	5	8.4	7.05	7.51
		25	25.03	8	11.03
	100	5	34.1	36.2	37.3
		25	25.9	50.23	51.87
	1000	5	337.4	376.6	384.7
		25	72	659.5	802.47
20	1	5	5.01	4.98	5
		25	25	24.72	24.78
	10	5	6.03	5.7	5.77
		25	25	22.25	22.89
	20	5	8.4	7.96	8.03
		25	25.03	20.18	20.84
	100	5	34.1	33.9	34.02
		25	25.9	10.37	11.42
	1000	5	337.4	340.1	340.9
		25	72	165.2	150.4

Height, km	Path, km	Initial Radius $a$ , cm	Regular Displacement $σ_{r, reg}$ , cm	Angular Regular Displacement $α_{r, reg}$ , arcsec	Regular Displacement in Turbulent Shock Wave $σ_{r}$ , cm	Angular Regular Displacement in Turbulent Shock Wave $α_{r}$ , arcsec	Beam Wander Standard Deviation $σ_{c}$ , cm	Angular Beam Wander Standard Deviation $α_{c}$ , arcsec
5	1	5	2.21	4.55	2.32	4.75	0.28	0.58
		25	2.13	4.39	2.3	4.74	0.2	0.41
	10	5	21.61	4.46	23	4.73	1.84	0.38
		25	19.76	4.07	21.4	4.41	1.95	0.4
	20	5	42.86	4.42	45.56	4.7	3.52	0.36
		25	40.82	4.21	44	4.54	2.6	0.27
	100	5	220.42	4.54	232.6	4.8	18.5	0.38
		25	204.51	4.22	217.3	4.48	15.48	0.32
	1000	5	2209.63	4.56	2329	4.8	187.06	0.38
		25	2229.14	4.6	2272.8	4.69	182.22	0.37
10	1	5	1.29	2.67	1.3	2.69	0.17	0.35
		25	1.26	2.6	1.33	2.74	0.14	0.29
	10	5	12.7	2.39	13	2.69	1.05	0.22
		25	12.67	2.61	13.32	2.75	1.03	0.21
	20	5	25.2	2.6	26	2.69	1.92	0.2
		25	22.94	2.36	24.5	2.53	1.67	0.17
	100	5	130.7	2.7	135	2.78	9.75	0.2
		25	115.72	2.38	123.5	2.55	7.17	0.15
	1000	5	1309	2.7	1350	2.78	97.3	0.2
		25	1280.62	2.64	1319.5	2.72	87.82	0.18
20	1	5	0.33	0.68	0.34	0.72	0.09	0.18
		25	0.32	0.66	0.34	0.71	0.08	0.16
	10	5	2.68	0.55	2.82	0.58	0.24	0.05
		25	2.6	0.54	2.82	0.58	0.2	0.04
	20	5	5.3	0.55	5.6	0.57	0.45	0.05
		25	5.2	0.54	5.63	0.58	0.45	0.05
	100	5	31.4	0.65	32.9	0.68	3	0.06
		25	31	0.64	32.67	0.57	2.3	0.05
	1000	5	314.2	0.65	329.5	0.68	27.9	0.06
		25	286.31	0.54	300.37	0.62	17.03	0.03

Abstract

Cited By

Figures (9)

Tables (2)

Equations (6)

Applied Optics