Abstract

The bare, or fundamental, electric and magnetic fields in a linear medium are identified. Through the energy relations for the bare fields, the electric permittivity is shown to combine the effects of the enhanced energy density and the polarization reaction field. The macroscopic Maxwell equations are modified to be consistent with the constitutive relations for the bare fields.

© 2005 Optical Society of America

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References

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  1. J. C. Maxwell, Royal Society Transactions CLV, 459 (1865),W. D. Niven, ed., The Scientific Papers of James Clerk Maxwell, (Dover, 1952), p. 526.
  2. I. Abram, Phys. Rev. A 35, 4661 (1987).
    [CrossRef] [PubMed]
  3. M. E. Crenshaw, Phys. Lett. A 336, 106 (2005).
    [CrossRef]
  4. W. P. Huang, S. T. Chu, A. Goss, and S. K. Chaudhuri, IEEE Photon. Technol. Lett. 3, 524 (1991).
    [CrossRef]
  5. L. Allen and J. H. Eberly, Optical Resonance and Two-Level Atoms (Dover, 1987).
  6. J. D. Jackson, Classical Electrodynamics, 2nd ed. (Wiley, 1975).
  7. M. Born and E. Wolf, Principles of Optics (Pergamon, 1991).
  8. W. K.H. Panofsky and M. Phillips, Classical Electricity and Magnetism, 2nd ed. (Addison-Wesley, 1962).

2005 (1)

M. E. Crenshaw, Phys. Lett. A 336, 106 (2005).
[CrossRef]

1991 (1)

W. P. Huang, S. T. Chu, A. Goss, and S. K. Chaudhuri, IEEE Photon. Technol. Lett. 3, 524 (1991).
[CrossRef]

1987 (1)

I. Abram, Phys. Rev. A 35, 4661 (1987).
[CrossRef] [PubMed]

1865 (1)

J. C. Maxwell, Royal Society Transactions CLV, 459 (1865),W. D. Niven, ed., The Scientific Papers of James Clerk Maxwell, (Dover, 1952), p. 526.

Abram, I.

I. Abram, Phys. Rev. A 35, 4661 (1987).
[CrossRef] [PubMed]

Allen, L.

L. Allen and J. H. Eberly, Optical Resonance and Two-Level Atoms (Dover, 1987).

Born, M.

M. Born and E. Wolf, Principles of Optics (Pergamon, 1991).

Chaudhuri, S. K.

W. P. Huang, S. T. Chu, A. Goss, and S. K. Chaudhuri, IEEE Photon. Technol. Lett. 3, 524 (1991).
[CrossRef]

Chu, S. T.

W. P. Huang, S. T. Chu, A. Goss, and S. K. Chaudhuri, IEEE Photon. Technol. Lett. 3, 524 (1991).
[CrossRef]

Crenshaw, M. E.

M. E. Crenshaw, Phys. Lett. A 336, 106 (2005).
[CrossRef]

Eberly, J. H.

L. Allen and J. H. Eberly, Optical Resonance and Two-Level Atoms (Dover, 1987).

Goss, A.

W. P. Huang, S. T. Chu, A. Goss, and S. K. Chaudhuri, IEEE Photon. Technol. Lett. 3, 524 (1991).
[CrossRef]

Huang, W. P.

W. P. Huang, S. T. Chu, A. Goss, and S. K. Chaudhuri, IEEE Photon. Technol. Lett. 3, 524 (1991).
[CrossRef]

Jackson, J. D.

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

Maxwell, J. C.

J. C. Maxwell, Royal Society Transactions CLV, 459 (1865),W. D. Niven, ed., The Scientific Papers of James Clerk Maxwell, (Dover, 1952), p. 526.

Panofsky, W. K.H.

W. K.H. Panofsky and M. Phillips, Classical Electricity and Magnetism, 2nd ed. (Addison-Wesley, 1962).

Phillips, M.

W. K.H. Panofsky and M. Phillips, Classical Electricity and Magnetism, 2nd ed. (Addison-Wesley, 1962).

Wolf, E.

M. Born and E. Wolf, Principles of Optics (Pergamon, 1991).

IEEE Photon. Technol. Lett. (1)

W. P. Huang, S. T. Chu, A. Goss, and S. K. Chaudhuri, IEEE Photon. Technol. Lett. 3, 524 (1991).
[CrossRef]

Phys. Lett. A (1)

M. E. Crenshaw, Phys. Lett. A 336, 106 (2005).
[CrossRef]

Phys. Rev. A (1)

I. Abram, Phys. Rev. A 35, 4661 (1987).
[CrossRef] [PubMed]

Royal Society Transactions (1)

J. C. Maxwell, Royal Society Transactions CLV, 459 (1865),W. D. Niven, ed., The Scientific Papers of James Clerk Maxwell, (Dover, 1952), p. 526.

Other (4)

L. Allen and J. H. Eberly, Optical Resonance and Two-Level Atoms (Dover, 1987).

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

M. Born and E. Wolf, Principles of Optics (Pergamon, 1991).

W. K.H. Panofsky and M. Phillips, Classical Electricity and Magnetism, 2nd ed. (Addison-Wesley, 1962).

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Figures (1)

Fig. 1
Fig. 1

Propagation of the vector potential from vacuum into a linear medium. The shaded region is the profile of index of refraction, 1 n 1.50 , where 1 μ 1.15 . The field travels to the right, and subsequent curves represent the envelope function at a later time. The horizontal axis is scaled to the wavelength.

Equations (13)

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μ × × A μ + n 2 c 2 2 A t 2 = 0 .
E = 1 c A t ,
H = × A n .
c μ n × n c μ H n c E t = 0 ,
× E + n c H t = 0 .
( E × n c μ H ) = 1 2 t ( n 2 c 2 μ E 2 + n 2 c 2 μ H 2 ) ,
U tot = 1 8 π V n ( n μ E 2 + n μ H 2 ) d v .
U tot = 1 8 π V ( ε E 2 + ε H 2 ) d v ,
U fi = 1 8 π V ( n μ E 2 + n μ H 2 ) d v
U fld = 1 8 π V ( E 2 + H 2 ) d v .
U r = 1 8 π V ( n μ 1 ) ( E 2 + H 2 ) d v
c n × n c H n c E t = 0 ,
× E + n c H t = 0 ,

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