Phase conjugation in ammonia

A. Elçi; D. Rogovin; D. Depatie; D. Haueisen

doi:10.1364/JOSA.70.000990

Journal of the Optical Society of America
Vol. 70,
Issue 8,
pp. 990-998
(1980)
•https://doi.org/10.1364/JOSA.70.000990

Phase conjugation in ammonia

A. Elçi, D. Rogovin, D. Depatie, and D. Haueisen

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A. Elçi, D. Rogovin, D. Depatie, and D. Haueisen, "Phase conjugation in ammonia," J. Opt. Soc. Am. 70, 990-998 (1980)

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Abstract

We compare theoretical calculations with experimental data for phase conjugation via degenerate four-wave mixing processes in NH₃. The theory is based on a quantum-mechanical rotovibrational model of ammonia that includes molecular absorption. Calculations demonstrate that phase conjugation in NH₃ is sensitive to absorption and that there is a dip in the phase conjugate efficiency on resonance, caused by Doppler broadening. Calculated efficiencies are in order-of-magnitude agreement with the experimental ones.

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		g(σJK)
K is a multiple of 3		6
K ≠ 0, K is not a multiple of 3		3
σ = +1, K = 0,	J is even	0
	J is odd	6
σ = −1, K = 0,	J is even	6
	J is odd	0

CO₂ lines	ν(cm⁻¹)	I_p(MW)	P(torr)	η_obs.	η_cal.	\|χ⁽³⁾\|(esu)	α(cm⁻¹)	\|ξ\|²
P14	949.4	1.25	25.0	1.9 × 10⁻⁴	2.1 × 10⁻⁵	1.3 × 10⁻¹²	1.1 × 10⁻²	1.2 × 10⁻⁴
	(949.0)				(1.4 × 10⁻⁴)	(3.7 × 10⁻¹²)	(1.9 × 10⁻²)	(3.6 × 10⁻⁴)
	(949.5)				(1.2 × 10⁻⁵)	(9.8 × 10⁻¹³)	(1.0 × 10⁻²)	(1.1 × 10⁻⁴)
P12	951.2	1.50	18.0	2.7 × 10⁻⁴	2.9 × 10⁻³	2.3 × 10⁻¹¹	8.1 × 10⁻²	6.5 × 10⁻³
P12	(951.5)				(4.7 × 10⁻³)	(1.3 × 10⁻⁹)	(4.5)	(19.6)
R8	967.7	0.90	1.5	4.4 × 10⁻⁵	3.33 × 10⁻⁵	2.12 × 10⁻¹²	5.97 × 10⁻³	3.53 × 10⁻⁵
					3.28 × 10^−5a	2.11 × 10⁻¹²	5.39 × 10^−3a
	(967.8)				(1.06 × 10⁻⁴)	(3.97 × 10⁻¹²)^a	(1.10 × 10⁻²)	(1.20 × 10⁻⁴)
R10	969.1	0.75	25.0	4.2 × 10⁻⁴	6.3 × 10⁻⁶	4.9 × 10⁻¹²	2.3 × 10⁻¹	5.5 × 10⁻²
R10	(969.3)				(4.7 × 10⁻⁶)	(3.1 × 10⁻¹²)	(1.6 × 10⁻¹)	(2.7 × 10⁻²)
R12	970.5	0.60	50.0	3.0 × 10⁻⁴	1.6 × 10⁻⁵	1.0 × 10⁻¹¹	2.5 × 10⁻¹	6.8 × 10⁻²
R12	(970.7)				(4.4 × 10⁻⁵)	(2.0 × 10⁻¹¹)	(2.9 × 10⁻¹)	(8.2 × 10⁻²)
P20	1046.9	0.75	40.0	6.7 × 10⁻⁵	9.64 × 10⁻⁵	4.94 × 10⁻¹¹	6.53 × 10⁻¹	4.27 × 10⁻¹
P20	(1047.1)				(9.58 × 10⁻⁵)	(1.10 × 10⁻¹⁰)	(1.46)	(2.12)

		g(σJK)
K is a multiple of 3		6
K ≠ 0, K is not a multiple of 3		3
σ = +1, K = 0,	J is even	0
	J is odd	6
σ = −1, K = 0,	J is even	6
	J is odd	0

CO₂ lines	ν(cm⁻¹)	I_p(MW)	P(torr)	η_obs.	η_cal.	\|χ⁽³⁾\|(esu)	α(cm⁻¹)	\|ξ\|²
P14	949.4	1.25	25.0	1.9 × 10⁻⁴	2.1 × 10⁻⁵	1.3 × 10⁻¹²	1.1 × 10⁻²	1.2 × 10⁻⁴
	(949.0)				(1.4 × 10⁻⁴)	(3.7 × 10⁻¹²)	(1.9 × 10⁻²)	(3.6 × 10⁻⁴)
	(949.5)				(1.2 × 10⁻⁵)	(9.8 × 10⁻¹³)	(1.0 × 10⁻²)	(1.1 × 10⁻⁴)
P12	951.2	1.50	18.0	2.7 × 10⁻⁴	2.9 × 10⁻³	2.3 × 10⁻¹¹	8.1 × 10⁻²	6.5 × 10⁻³
P12	(951.5)				(4.7 × 10⁻³)	(1.3 × 10⁻⁹)	(4.5)	(19.6)
R8	967.7	0.90	1.5	4.4 × 10⁻⁵	3.33 × 10⁻⁵	2.12 × 10⁻¹²	5.97 × 10⁻³	3.53 × 10⁻⁵
					3.28 × 10^−5a	2.11 × 10⁻¹²	5.39 × 10^−3a
	(967.8)				(1.06 × 10⁻⁴)	(3.97 × 10⁻¹²)^a	(1.10 × 10⁻²)	(1.20 × 10⁻⁴)
R10	969.1	0.75	25.0	4.2 × 10⁻⁴	6.3 × 10⁻⁶	4.9 × 10⁻¹²	2.3 × 10⁻¹	5.5 × 10⁻²
R10	(969.3)				(4.7 × 10⁻⁶)	(3.1 × 10⁻¹²)	(1.6 × 10⁻¹)	(2.7 × 10⁻²)
R12	970.5	0.60	50.0	3.0 × 10⁻⁴	1.6 × 10⁻⁵	1.0 × 10⁻¹¹	2.5 × 10⁻¹	6.8 × 10⁻²
R12	(970.7)				(4.4 × 10⁻⁵)	(2.0 × 10⁻¹¹)	(2.9 × 10⁻¹)	(8.2 × 10⁻²)
P20	1046.9	0.75	40.0	6.7 × 10⁻⁵	9.64 × 10⁻⁵	4.94 × 10⁻¹¹	6.53 × 10⁻¹	4.27 × 10⁻¹
P20	(1047.1)				(9.58 × 10⁻⁵)	(1.10 × 10⁻¹⁰)	(1.46)	(2.12)

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Equations (44)

Journal of the Optical Society of America