Characteristics of optical second-harmonic generation due to Čerenkov-radiation-type phase matching

Kiyofumi Chikuma; Shinsuke Umegaki

doi:10.1364/JOSAB.7.000768

Journal of the Optical Society of America B
Vol. 7,
Issue 5,
pp. 768-775
(1990)
•https://doi.org/10.1364/JOSAB.7.000768

Characteristics of optical second-harmonic generation due to Čerenkov-radiation-type phase matching

Kiyofumi Chikuma and Shinsuke Umegaki

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Kiyofumi Chikuma and Shinsuke Umegaki, "Characteristics of optical second-harmonic generation due to Čerenkov-radiation-type phase matching," J. Opt. Soc. Am. B 7, 768-775 (1990)

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Abstract

Čerenkov-radiation-type optical second-harmonic generation is analyzed by using the Green function of the Helmholtz equation, including the nonlinear-polarization term. The numerical results agree well with those of previously reported experiments. A formulation is given that provides a means of designing frequency doublers, which make use of channel waveguides and optical fibers.

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	Glass Type

	SF4	SF3	LAF03	SF1
n_s²^ω	1.7643	1.7487	1.7398	1.7254
n_s^ω	1.7275	1.7135	1.7176	1.6925
Core Radius (μm)	Efficiency (%)

0.5	0.14 × 10⁻³	0.69 × 10⁻²	0.23 × 10⁻²	0.16
0.7	0.39 ×10⁻²	0.62 × 10⁻¹	0.24 × 10⁻¹	0.34
0.9	0.19 × 10-2	0.64 × 10⁻¹	0.16	0.83
1.1	0.12 × 10⁻²	0.33 × 10⁻¹	0.17	^b
1.3	0.73 × 10⁻²	0.12 × 10⁻¹	0.15	-
1.5	0.84 × 10⁻²	^b	0.13	-

	Glass Type

	SF6	SF11	SF14	SF4
n_s²^ω	1.8156	1.7948	1.7713	1.7643
n_s^ω	1.7737	1.7543	1.7331	1.7275
Core Radius (μm)	Efficiency (%)

0.5	0.50 × 10⁻⁵	0.83 × 10⁻⁰	7.67	10.9
0.7	0.14 × 10⁻¹	3.0	18.9	28.2
0.9	0.10 × 10⁻²	2.4	30.4	52.9
1.1	0.91 × 10⁻¹	1.3	^b	^c
1.3	0.19 × 10⁻⁰	^b	-	-
1.5	0.94 × 10⁻¹	-	-	-

Nonlinear coefficient d_eff	40 × 10⁻¹² m/V
Refractive indices
For fundamental wavelength
Core n_Gω	2.30
Cladding n_sω	2.36
For second-harmonic wavelength
Cladding n_s2ω	2.31
Channel-waveguide width W	2.4 μm
Channel-waveguide thickness h	0.4 μm
Interaction length L	6.0 mm
Fundamental power P^ω	40 mW
Second-harmonic power P²^ω	0.41 mW
Conversion efficiency	1.04%

	Glass Type

	SF4	SF3	LAF03	SF1
n_s²^ω	1.7643	1.7487	1.7398	1.7254
n_s^ω	1.7275	1.7135	1.7176	1.6925
Core Radius (μm)	Efficiency (%)

0.5	0.14 × 10⁻³	0.69 × 10⁻²	0.23 × 10⁻²	0.16
0.7	0.39 ×10⁻²	0.62 × 10⁻¹	0.24 × 10⁻¹	0.34
0.9	0.19 × 10-2	0.64 × 10⁻¹	0.16	0.83
1.1	0.12 × 10⁻²	0.33 × 10⁻¹	0.17	^b
1.3	0.73 × 10⁻²	0.12 × 10⁻¹	0.15	-
1.5	0.84 × 10⁻²	^b	0.13	-

	Glass Type

	SF6	SF11	SF14	SF4
n_s²^ω	1.8156	1.7948	1.7713	1.7643
n_s^ω	1.7737	1.7543	1.7331	1.7275
Core Radius (μm)	Efficiency (%)

0.5	0.50 × 10⁻⁵	0.83 × 10⁻⁰	7.67	10.9
0.7	0.14 × 10⁻¹	3.0	18.9	28.2
0.9	0.10 × 10⁻²	2.4	30.4	52.9
1.1	0.91 × 10⁻¹	1.3	^b	^c
1.3	0.19 × 10⁻⁰	^b	-	-
1.5	0.94 × 10⁻¹	-	-	-

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Equations (48)

Journal of the Optical Society of America B