Beam combination setup for dual-frequency laser with orthogonal linear polarization

Haijin Fu; Jiubin Tan; Pengcheng Hu; Zhigang Fan

doi:10.3788/COL201513.101201

Journals >Chinese Optics Letters >Volume 13 >Issue 10 >Page 101201 > Article

Chinese Optics Letters
Vol. 13, Issue 10, 101201 (2015)

Beam combination setup for dual-frequency laser with orthogonal linear polarization

Haijin Fu^1、2, Jiubin Tan¹, Pengcheng Hu^1、*, and Zhigang Fan²

Author Affiliations

¹Ultra-Precision Optoelectronic Instrument Engineering Center, Harbin Institute of Technology, Harbin 150001, China

²Postdoctoral Research Station of Optical Engineering, Harbin Institute of Technology, Harbin 150001, China

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DOI: 10.3788/COL201513.101201 Cite this Article Set citation alerts

Haijin Fu, Jiubin Tan, Pengcheng Hu, Zhigang Fan. Beam combination setup for dual-frequency laser with orthogonal linear polarization[J]. Chinese Optics Letters, 2015, 13(10): 101201 Copy Citation Text

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Abstract

A beam combination setup for a dual-frequency laser with orthogonal linear polarization is proposed. It consists of two polarizing beam splitters (PBSs) whose polarization axes are orthogonal to each other. A theoretical analysis demonstrates that a combined dual-frequency laser beam with this setup strictly meets orthogonal linear relation. The experimental results show that compared with the conventional setup, the ellipticity and nonorthogonality of the combined dual-frequency laser beam are significantly reduced.

R_{P} = {(\frac{n_{G} / \cos θ_{G} - {(n_{H} / \cos θ_{H})}^{2 n + 2} / [(n_{G} / \cos θ_{G}) {(n_{L} / \cos θ_{L})}^{2 n}]}{n_{G} / \cos θ_{G} + {(n_{H} / \cos θ_{H})}^{2 n + 2} / [(n_{G} / \cos θ_{G}) {(n_{L} / \cos θ_{L})}^{2 n}]})}^{2},

(1)

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R_{S} = {(\frac{n_{G} \cos θ_{G} - {(n_{H} \cos θ_{H})}^{2 n + 2} / [n_{G} \cos θ_{G} {(n_{L} \cos θ_{L})}^{2 n}]}{n_{G} \cos θ_{G} + {(n_{H} \cos θ_{H})}^{2 n + 2} / [n_{G} \cos θ_{G} {(n_{L} \cos θ_{L})}^{2 n}]})}^{2},

(2)

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\cos θ_{H} = \sqrt{1 - {(n_{G} / n_{H})}^{2} \sin^{2} θ_{G}}, \cos θ_{L} = \sqrt{1 - {(n_{G} / n_{L})}^{2} \sin^{2} θ_{G}} .

(3)

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E_{1}^{'} = [\begin{array}{l} E_{1 P}^{'} \\ E_{1 S}^{'} \end{array}] = [\begin{array}{l} E_{1 P} \sqrt{1 - R_{P} (θ_{1})} \\ E_{1 S} \sqrt{1 - R_{S} (θ_{1})} \end{array}] = [\begin{array}{l} E_{1 P} \sqrt{1 - R_{P} (θ_{1})} \\ 0 \end{array}],

(4)

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E_{2}^{'} = [\begin{array}{l} E_{2 P}^{'} \\ E_{2 S}^{'} \end{array}] = [\begin{array}{l} E_{2 P} \sqrt{R_{P} (θ_{2})} \\ E_{2 S} \sqrt{R_{S} (θ_{2})} \end{array}] = [\begin{array}{l} E_{2 P} \sqrt{R_{P} (θ_{2})} \\ E_{2 S} \end{array}],

(5)

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E_{1}^{'} \cdot E_{2}^{'} = E_{1 P} E_{2 P} \sqrt{1 - R_{P} (θ_{1})} R_{P} (θ_{2}) .

(6)

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E_{1}^{'} = [\begin{array}{l} E_{1 P}^{'} \\ E_{1 S}^{'} \end{array}] = [\begin{array}{l} E_{1 P} \sqrt{1 - R_{P} (θ_{1})} \\ E_{1 S} \sqrt{1 - R_{S} (θ_{1})} \end{array}] = [\begin{array}{l} E_{1 P} \sqrt{1 - R_{P} (θ_{1})} \\ 0 \end{array}],

(7)

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E_{2}^{'} = [\begin{array}{l} E_{2 P}^{'} \\ E_{2 S}^{'} \end{array}] = [\begin{array}{l} E_{2 P} \sqrt{1 - R_{S} (θ_{2})} \sqrt{R_{P} (θ_{2}^{'})} \\ E_{2 S} \sqrt{1 - R_{P} (θ_{2})} \sqrt{R_{S} (θ_{2}^{'})} \end{array}] = [\begin{array}{l} 0 \\ E_{2 S} \sqrt{1 - R_{P} (θ_{2})} \end{array}],

(8)

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E_{1}^{'} \cdot E_{2}^{'} \equiv 0 .

(9)

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Haijin Fu, Jiubin Tan, Pengcheng Hu, Zhigang Fan. Beam combination setup for dual-frequency laser with orthogonal linear polarization[J]. Chinese Optics Letters, 2015, 13(10): 101201

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