Multiple beam generation using a stratified volume holographic grating

André Granger; Li Song; Roger A. Lessard

doi:10.1364/AO.32.002534

Applied Optics
Vol. 32,
Issue 14,
pp. 2534-2537
(1993)
•https://doi.org/10.1364/AO.32.002534

Multiple beam generation using a stratified volume holographic grating

André Granger, Li Song, and Roger A. Lessard

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André Granger, Li Song, and Roger A. Lessard, "Multiple beam generation using a stratified volume holographic grating," Appl. Opt. 32, 2534-2537 (1993)

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Abstract

The parameters of several stratified volume holographic gratings are optimized in order to obtain high diffraction efficiency beam spliters. Two-, three-, five-, seven-, and nine-beam fan-outs are theoretically studied and compared with what has been achieved by other means. With a simple optical setup, a fan-out element that generates seven beams of equal intensity is experimentally realized and a comparison with theory is made.

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Number of Beams	Diffraction Orders (%)						η(%)
Number of Beams	0	1	2	3	4	5	η(%)
2	6.2	43.0	3.2	0.6	0.1	0	86.0
	(Δ = 15.71 μm, φ₁ = 1.74, φ₂ = 0.57)
3	30.7	32.3	0.3	1.3	0.8	0.1	95.2
	(Δ = 14.43 μm, φ₁ = 1.90, φ₂ = 1.14)
5	19.1	19.1	19.1	2.2	0.1	0	95.4
	(Δ = 19.84 μm, φ₁ = 1.76, φ₂ = 1.41)
7^a	13.4	13.5	13.5	13.5	2.3	0.3	94.5
	(Δ = 9.96 μm, φ₁ = 2.07, φ₂ = 2.13)
9	11.8	11.8	10.7	9.8	10.9	0.5	98.3
	(Δ = 11.89 μm, φ₁ = 1.46, φ₂ = 2.55, φ₃ = 2.28)

Number of Beams	η(%)	Technique and Reference
2	67	Sinus grating, φ = 1.84
	81	Dammann (Ref. 16)
	86	This work
	~95	Multiplex holograms (Ref. 8)
3	86.5	Dammann (Ref. 16)
	90	Sinus grating, φ = 1.435
	95.2	This work
5	80	Dammann (Ref. 16)
	87	Multilevel Dammann (Ref. 2)
	95.4	This work
7	80.5	Conic grating (Ref. 4)
	84.5	Dammann (Ref. 16)
	94.5	This work
9	80.8	Dammann (Ref. 16)
	98.3	This work

Number of Beams	Diffraction Orders (%)						η(%)
Number of Beams	0	1	2	3	4	5	η(%)
2	6.2	43.0	3.2	0.6	0.1	0	86.0
	(Δ = 15.71 μm, φ₁ = 1.74, φ₂ = 0.57)
3	30.7	32.3	0.3	1.3	0.8	0.1	95.2
	(Δ = 14.43 μm, φ₁ = 1.90, φ₂ = 1.14)
5	19.1	19.1	19.1	2.2	0.1	0	95.4
	(Δ = 19.84 μm, φ₁ = 1.76, φ₂ = 1.41)
7^a	13.4	13.5	13.5	13.5	2.3	0.3	94.5
	(Δ = 9.96 μm, φ₁ = 2.07, φ₂ = 2.13)
9	11.8	11.8	10.7	9.8	10.9	0.5	98.3
	(Δ = 11.89 μm, φ₁ = 1.46, φ₂ = 2.55, φ₃ = 2.28)

Number of Beams	η(%)	Technique and Reference
2	67	Sinus grating, φ = 1.84
	81	Dammann (Ref. 16)
	86	This work
	~95	Multiplex holograms (Ref. 8)
3	86.5	Dammann (Ref. 16)
	90	Sinus grating, φ = 1.435
	95.2	This work
5	80	Dammann (Ref. 16)
	87	Multilevel Dammann (Ref. 2)
	95.4	This work
7	80.5	Conic grating (Ref. 4)
	84.5	Dammann (Ref. 16)
	94.5	This work
9	80.8	Dammann (Ref. 16)
	98.3	This work

Abstract

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Applied Optics