Abstract

We derive the equations and main characteristics of optical parametric generation in magneto-optic media. The key performances are discussed in terms of Stokes parameters and conservation laws of electromagnetic linear and angular momentum.

© 1999 Optical Society of America

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References

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  1. H. Rabin and P. P. Bey, Phys. Rev. 156, 1010 (1967).
    [CrossRef]
  2. P. P. Bey and H. Rabin, Phys. Rev. 162, 794 (1967).
    [CrossRef]
  3. L. D. Landau, E. M. Lifshitz, and L. P. Pitaevski?, Electrodynamics of Continuous Media, 2nd ed. (Butterworth & Heinemann, Oxford, 1984).
  4. S. Kielich and R. Zawodny, Acta Phys. Pol. A 43, 579 (1973).
  5. P. N. Butcher and D. Cotter, The Elements of Nonlinear Optics (Cambridge U. Press, New York, 1990).
  6. J. D. Jackson, Classical Electrodynamics, 2nd ed. (Wiley, New York, 1975).
  7. N. Bloembergen, in Polarisation, Matiere et Rayonnement, C. Cohen-Tannoudji, ed. (Presses Universitaires, Paris, 1969), pp. 189–199.
  8. A. N. Godlevskaya and V. N. Kapshai, Opt. Spectrosc. (USSR) 66, 486 (1989).
  9. G. Wagnière, J. Chem. Phys. 77, 2786 (1982).

1989 (1)

A. N. Godlevskaya and V. N. Kapshai, Opt. Spectrosc. (USSR) 66, 486 (1989).

1982 (1)

G. Wagnière, J. Chem. Phys. 77, 2786 (1982).

1973 (1)

S. Kielich and R. Zawodny, Acta Phys. Pol. A 43, 579 (1973).

1967 (2)

H. Rabin and P. P. Bey, Phys. Rev. 156, 1010 (1967).
[CrossRef]

P. P. Bey and H. Rabin, Phys. Rev. 162, 794 (1967).
[CrossRef]

Bey, P. P.

P. P. Bey and H. Rabin, Phys. Rev. 162, 794 (1967).
[CrossRef]

H. Rabin and P. P. Bey, Phys. Rev. 156, 1010 (1967).
[CrossRef]

Bloembergen, N.

N. Bloembergen, in Polarisation, Matiere et Rayonnement, C. Cohen-Tannoudji, ed. (Presses Universitaires, Paris, 1969), pp. 189–199.

Butcher, P. N.

P. N. Butcher and D. Cotter, The Elements of Nonlinear Optics (Cambridge U. Press, New York, 1990).

Cotter, D.

P. N. Butcher and D. Cotter, The Elements of Nonlinear Optics (Cambridge U. Press, New York, 1990).

Godlevskaya, A. N.

A. N. Godlevskaya and V. N. Kapshai, Opt. Spectrosc. (USSR) 66, 486 (1989).

Jackson, J. D.

J. D. Jackson, Classical Electrodynamics, 2nd ed. (Wiley, New York, 1975).

Kapshai, V. N.

A. N. Godlevskaya and V. N. Kapshai, Opt. Spectrosc. (USSR) 66, 486 (1989).

Kielich, S.

S. Kielich and R. Zawodny, Acta Phys. Pol. A 43, 579 (1973).

Landau, L. D.

L. D. Landau, E. M. Lifshitz, and L. P. Pitaevski?, Electrodynamics of Continuous Media, 2nd ed. (Butterworth & Heinemann, Oxford, 1984).

Lifshitz, E. M.

L. D. Landau, E. M. Lifshitz, and L. P. Pitaevski?, Electrodynamics of Continuous Media, 2nd ed. (Butterworth & Heinemann, Oxford, 1984).

Pitaevskii, L. P.

L. D. Landau, E. M. Lifshitz, and L. P. Pitaevski?, Electrodynamics of Continuous Media, 2nd ed. (Butterworth & Heinemann, Oxford, 1984).

Rabin, H.

H. Rabin and P. P. Bey, Phys. Rev. 156, 1010 (1967).
[CrossRef]

P. P. Bey and H. Rabin, Phys. Rev. 162, 794 (1967).
[CrossRef]

Wagnière, G.

G. Wagnière, J. Chem. Phys. 77, 2786 (1982).

Zawodny, R.

S. Kielich and R. Zawodny, Acta Phys. Pol. A 43, 579 (1973).

Acta Phys. Pol. A (1)

S. Kielich and R. Zawodny, Acta Phys. Pol. A 43, 579 (1973).

J. Chem. Phys. (1)

G. Wagnière, J. Chem. Phys. 77, 2786 (1982).

Opt. Spectrosc. (USSR) (1)

A. N. Godlevskaya and V. N. Kapshai, Opt. Spectrosc. (USSR) 66, 486 (1989).

Phys. Rev. (2)

H. Rabin and P. P. Bey, Phys. Rev. 156, 1010 (1967).
[CrossRef]

P. P. Bey and H. Rabin, Phys. Rev. 162, 794 (1967).
[CrossRef]

Other (4)

L. D. Landau, E. M. Lifshitz, and L. P. Pitaevski?, Electrodynamics of Continuous Media, 2nd ed. (Butterworth & Heinemann, Oxford, 1984).

P. N. Butcher and D. Cotter, The Elements of Nonlinear Optics (Cambridge U. Press, New York, 1990).

J. D. Jackson, Classical Electrodynamics, 2nd ed. (Wiley, New York, 1975).

N. Bloembergen, in Polarisation, Matiere et Rayonnement, C. Cohen-Tannoudji, ed. (Presses Universitaires, Paris, 1969), pp. 189–199.

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Figures (1)

Fig. 1
Fig. 1

Conversion efficiency ν-1S0iζ/S0s versus differential phase mismatch Δα/Δβ for a right-circularly polarized input pump and a left-circularly polarized signal, p0=-1, s0=1, in the case with negligible magneto-optically induced parametric generation, δ1=δ2=0. Parameter values are ζ=1 and (A), ϕ=0, (B) ϕ=0.5, (C) ϕ=1, and (D) ϕ=4.

Equations (24)

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2Eωkz2+ωk2c2Eωk=-ωk2μ0Pωk,
Pωk=Pωkee+Pωkeem+Pωkeee+Pωkeeem,
Pωkee=0χee:Eωk,Pωkeem=0χeem:EωkH0
Pωkeee=0χeee:EEωk,Pωkeeem=0χeeem:EEωkH0
Pω1±=0n12-1±γ1Eω1±+21±ip1±q1Eω3Eω2±*,Pω2±=0n22-1±γ2Eω2±+21±ip2±q2Eω3Eω1±*,Pω3±=0n32-1±γ3Eω3±+21±ip3±q3Eω1Eω2±,
nk2=1+χxxee-ωk;ωk,γk=iχxyzeem-ωk;ωk,0H0z,p1,2=χxxxeee-ω1,2;ω3,-ω2,1,p3=χxxxeee-ω3;ω1,ω2,q1,2=-iχxxxzeeem-ω1,2;ω3,-ω2,1,0H0z,q3=-iχxxxzeeem-ω3;ω1,ω2,0H0z.
Eωk±=Ck±Aωk± expiβk±αkz, k=1,2,3,
Ck±=ηk1±i1±δk/2, ηk=ωkpk/nkc, βk=ωknk/c, αk=ωkγk/2nkc, δk=qk/pk,
Aω1±z=iκ±Aω30Aω2±* expiΔβΔαz,
Aω2±z=iκ±Aω30Aω1±* expiΔβΔαz,
Δβ=β3-β2-β1, Δα=α1+α2+α3, κ±=C1±C2±*C31/2.
aωk±=Aωk± exp-iΔβΔαz/2, k=1,2,
2aωk±z2=κ±2Aω320-ΔβΔα2/4aωk±, k=1,2,
aω1±=aω1±0coshK±z-iΔβΔα2K±sinhK±z+iaω2±*0κ±Aω30K±sinhK±z,
aω2±=aω2±0coshK±z-iΔβΔα2K±sinhK±z+iaω1±*0κ±Aω30K±sinhK±z,
S0i=Eω1+ 2+Eω1-2, S1i=2 ReEω1+*Eω1-, S3i=Eω1+ 2-Eω1-2, S2i=2 ImEω1+*Eω1-.
S0iζS0s0=ν2f+ζ+f-ζ+ν2f+ζ-f-ζs0,
S1iζS0iζ=1-i2ζ1/2 cosargEω1--argEω1+,
S2iζS0iζ=1-i2ζ1/2 sinargEω1--argEω1+,
iζ=f+ζ-f-ζ+f+ζ+f-ζs0f+ζ+f-ζ+f+ζ-f-ζs0,
f±ζ=1±δ121p0ξ±2-ϕ±2sinh2ξ±2-ϕ±21/2ζ,
ξ±2=1±δ11±δ21p0,ϕ±=1Δα/Δβϕ,
argEω1--argEω1+=φ0+φ1+φ2ζ,
φ1=π/2sgn1+δ11+δ2-sgn1-δ11-δ2-1,φ2ζ=g-1α3+α2-α1ζ,

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