Abstract

Measurements of the ordinary refractive index of GaSe single crystals at various temperatures between 300 K and 75 K in the 0.5–2.5-eV energy range, obtained through an interference technique, are reported. On the basis of these data the energy dispersion of the thermal coefficient of the refractive index has been deduced by using a very simple computational approach. The experimental results were discussed in the framework of a single oscillator model of the optical constants.

© 1979 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. J. L. Brebner, J. A. Deverin, Helv. Phys. Acta 38, 650 (1965).
  2. J. D. Wasscher, J. Dieleman, Phys. Lett. A 39, 279 (1972).
    [CrossRef]
  3. G. A. Akhundov, S. A. Musaev, A. E. Bakhyshev, N. M. Gasanly, L. G. Musaeva, Sov. Phys. Semicond. 9, 94 (1975).
  4. N. Piccioli, R. Le Toullec, M. Mejatty, M. Balkanski, Appl. Opt. 16, 1236 (1977).
    [CrossRef] [PubMed]
  5. G. Antonioli, D. Bianchi, V. Canevari, U. Emiliani, P. Podini, Phys. Status Solidi B: 81, 665 (1977).
    [CrossRef]
  6. R. Le Toullec, N. Piccioli, M. Mejatty, M. Balkanski, Nuovo Cimento Soc. Ital. Fis. B. 38, 159 (1977).
    [CrossRef]
  7. See, for example, M. Born, E. Wolf, Principle of Optics (Pergamon, Oxford, 1975); O. S. Heavens, Thin Film Physics (Methuen, London, 1970).
  8. I. G. Kerimov, N. G. Aliev, M. M. Kurbanov, Sov. Phys. Semicond. 7, 1575 (1974).
  9. Ph. Schmid, J. P. Voitchovsky, Phys. Status Solidi B 65, 249 (1974).
    [CrossRef]
  10. Yet-ful Tsag, B. Bendow, S. S. Mitra, Phys. Rev. B 8, 2688 (1973).
    [CrossRef]
  11. M. Grandolfo, F. Somma, P. Vecchia, Phys. Rev. B 5, 428 (1972).
    [CrossRef]

1977 (3)

N. Piccioli, R. Le Toullec, M. Mejatty, M. Balkanski, Appl. Opt. 16, 1236 (1977).
[CrossRef] [PubMed]

G. Antonioli, D. Bianchi, V. Canevari, U. Emiliani, P. Podini, Phys. Status Solidi B: 81, 665 (1977).
[CrossRef]

R. Le Toullec, N. Piccioli, M. Mejatty, M. Balkanski, Nuovo Cimento Soc. Ital. Fis. B. 38, 159 (1977).
[CrossRef]

1975 (1)

G. A. Akhundov, S. A. Musaev, A. E. Bakhyshev, N. M. Gasanly, L. G. Musaeva, Sov. Phys. Semicond. 9, 94 (1975).

1974 (2)

I. G. Kerimov, N. G. Aliev, M. M. Kurbanov, Sov. Phys. Semicond. 7, 1575 (1974).

Ph. Schmid, J. P. Voitchovsky, Phys. Status Solidi B 65, 249 (1974).
[CrossRef]

1973 (1)

Yet-ful Tsag, B. Bendow, S. S. Mitra, Phys. Rev. B 8, 2688 (1973).
[CrossRef]

1972 (2)

M. Grandolfo, F. Somma, P. Vecchia, Phys. Rev. B 5, 428 (1972).
[CrossRef]

J. D. Wasscher, J. Dieleman, Phys. Lett. A 39, 279 (1972).
[CrossRef]

1965 (1)

J. L. Brebner, J. A. Deverin, Helv. Phys. Acta 38, 650 (1965).

Akhundov, G. A.

G. A. Akhundov, S. A. Musaev, A. E. Bakhyshev, N. M. Gasanly, L. G. Musaeva, Sov. Phys. Semicond. 9, 94 (1975).

Aliev, N. G.

I. G. Kerimov, N. G. Aliev, M. M. Kurbanov, Sov. Phys. Semicond. 7, 1575 (1974).

Antonioli, G.

G. Antonioli, D. Bianchi, V. Canevari, U. Emiliani, P. Podini, Phys. Status Solidi B: 81, 665 (1977).
[CrossRef]

Bakhyshev, A. E.

G. A. Akhundov, S. A. Musaev, A. E. Bakhyshev, N. M. Gasanly, L. G. Musaeva, Sov. Phys. Semicond. 9, 94 (1975).

Balkanski, M.

N. Piccioli, R. Le Toullec, M. Mejatty, M. Balkanski, Appl. Opt. 16, 1236 (1977).
[CrossRef] [PubMed]

R. Le Toullec, N. Piccioli, M. Mejatty, M. Balkanski, Nuovo Cimento Soc. Ital. Fis. B. 38, 159 (1977).
[CrossRef]

Bendow, B.

Yet-ful Tsag, B. Bendow, S. S. Mitra, Phys. Rev. B 8, 2688 (1973).
[CrossRef]

Bianchi, D.

G. Antonioli, D. Bianchi, V. Canevari, U. Emiliani, P. Podini, Phys. Status Solidi B: 81, 665 (1977).
[CrossRef]

Born, M.

See, for example, M. Born, E. Wolf, Principle of Optics (Pergamon, Oxford, 1975); O. S. Heavens, Thin Film Physics (Methuen, London, 1970).

Brebner, J. L.

J. L. Brebner, J. A. Deverin, Helv. Phys. Acta 38, 650 (1965).

Canevari, V.

G. Antonioli, D. Bianchi, V. Canevari, U. Emiliani, P. Podini, Phys. Status Solidi B: 81, 665 (1977).
[CrossRef]

Deverin, J. A.

J. L. Brebner, J. A. Deverin, Helv. Phys. Acta 38, 650 (1965).

Dieleman, J.

J. D. Wasscher, J. Dieleman, Phys. Lett. A 39, 279 (1972).
[CrossRef]

Emiliani, U.

G. Antonioli, D. Bianchi, V. Canevari, U. Emiliani, P. Podini, Phys. Status Solidi B: 81, 665 (1977).
[CrossRef]

Gasanly, N. M.

G. A. Akhundov, S. A. Musaev, A. E. Bakhyshev, N. M. Gasanly, L. G. Musaeva, Sov. Phys. Semicond. 9, 94 (1975).

Grandolfo, M.

M. Grandolfo, F. Somma, P. Vecchia, Phys. Rev. B 5, 428 (1972).
[CrossRef]

Kerimov, I. G.

I. G. Kerimov, N. G. Aliev, M. M. Kurbanov, Sov. Phys. Semicond. 7, 1575 (1974).

Kurbanov, M. M.

I. G. Kerimov, N. G. Aliev, M. M. Kurbanov, Sov. Phys. Semicond. 7, 1575 (1974).

Le Toullec, R.

R. Le Toullec, N. Piccioli, M. Mejatty, M. Balkanski, Nuovo Cimento Soc. Ital. Fis. B. 38, 159 (1977).
[CrossRef]

N. Piccioli, R. Le Toullec, M. Mejatty, M. Balkanski, Appl. Opt. 16, 1236 (1977).
[CrossRef] [PubMed]

Mejatty, M.

N. Piccioli, R. Le Toullec, M. Mejatty, M. Balkanski, Appl. Opt. 16, 1236 (1977).
[CrossRef] [PubMed]

R. Le Toullec, N. Piccioli, M. Mejatty, M. Balkanski, Nuovo Cimento Soc. Ital. Fis. B. 38, 159 (1977).
[CrossRef]

Mitra, S. S.

Yet-ful Tsag, B. Bendow, S. S. Mitra, Phys. Rev. B 8, 2688 (1973).
[CrossRef]

Musaev, S. A.

G. A. Akhundov, S. A. Musaev, A. E. Bakhyshev, N. M. Gasanly, L. G. Musaeva, Sov. Phys. Semicond. 9, 94 (1975).

Musaeva, L. G.

G. A. Akhundov, S. A. Musaev, A. E. Bakhyshev, N. M. Gasanly, L. G. Musaeva, Sov. Phys. Semicond. 9, 94 (1975).

Piccioli, N.

N. Piccioli, R. Le Toullec, M. Mejatty, M. Balkanski, Appl. Opt. 16, 1236 (1977).
[CrossRef] [PubMed]

R. Le Toullec, N. Piccioli, M. Mejatty, M. Balkanski, Nuovo Cimento Soc. Ital. Fis. B. 38, 159 (1977).
[CrossRef]

Podini, P.

G. Antonioli, D. Bianchi, V. Canevari, U. Emiliani, P. Podini, Phys. Status Solidi B: 81, 665 (1977).
[CrossRef]

Schmid, Ph.

Ph. Schmid, J. P. Voitchovsky, Phys. Status Solidi B 65, 249 (1974).
[CrossRef]

Somma, F.

M. Grandolfo, F. Somma, P. Vecchia, Phys. Rev. B 5, 428 (1972).
[CrossRef]

Tsag, Yet-ful

Yet-ful Tsag, B. Bendow, S. S. Mitra, Phys. Rev. B 8, 2688 (1973).
[CrossRef]

Vecchia, P.

M. Grandolfo, F. Somma, P. Vecchia, Phys. Rev. B 5, 428 (1972).
[CrossRef]

Voitchovsky, J. P.

Ph. Schmid, J. P. Voitchovsky, Phys. Status Solidi B 65, 249 (1974).
[CrossRef]

Wasscher, J. D.

J. D. Wasscher, J. Dieleman, Phys. Lett. A 39, 279 (1972).
[CrossRef]

Wolf, E.

See, for example, M. Born, E. Wolf, Principle of Optics (Pergamon, Oxford, 1975); O. S. Heavens, Thin Film Physics (Methuen, London, 1970).

Appl. Opt. (1)

Helv. Phys. Acta (1)

J. L. Brebner, J. A. Deverin, Helv. Phys. Acta 38, 650 (1965).

Nuovo Cimento Soc. Ital. Fis. B. (1)

R. Le Toullec, N. Piccioli, M. Mejatty, M. Balkanski, Nuovo Cimento Soc. Ital. Fis. B. 38, 159 (1977).
[CrossRef]

Phys. Lett. A (1)

J. D. Wasscher, J. Dieleman, Phys. Lett. A 39, 279 (1972).
[CrossRef]

Phys. Rev. B (2)

Yet-ful Tsag, B. Bendow, S. S. Mitra, Phys. Rev. B 8, 2688 (1973).
[CrossRef]

M. Grandolfo, F. Somma, P. Vecchia, Phys. Rev. B 5, 428 (1972).
[CrossRef]

Phys. Status Solidi B (2)

G. Antonioli, D. Bianchi, V. Canevari, U. Emiliani, P. Podini, Phys. Status Solidi B: 81, 665 (1977).
[CrossRef]

Ph. Schmid, J. P. Voitchovsky, Phys. Status Solidi B 65, 249 (1974).
[CrossRef]

Sov. Phys. Semicond. (2)

I. G. Kerimov, N. G. Aliev, M. M. Kurbanov, Sov. Phys. Semicond. 7, 1575 (1974).

G. A. Akhundov, S. A. Musaev, A. E. Bakhyshev, N. M. Gasanly, L. G. Musaeva, Sov. Phys. Semicond. 9, 94 (1975).

Other (1)

See, for example, M. Born, E. Wolf, Principle of Optics (Pergamon, Oxford, 1975); O. S. Heavens, Thin Film Physics (Methuen, London, 1970).

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (4)

Fig. 1
Fig. 1

Ordinary refractive index as a function of the photon energy at (1) 300 K, (2) 225 K, (3) 150 K, and (4) 75 K.

Fig. 2
Fig. 2

Ordinary refractive index as a function of the temperature at (1) 2.3 eV, (2) 1.9 eV, (3) 1.3 eV, (4), 0.8 eV, and (5) 0.5 eV; ● experimental, — calculated according to Eq. (4).

Fig. 3
Fig. 3

Thermal coefficient of the refractive index as a function of the photon energy of the incident light.

Fig. 4
Fig. 4

2n(dn/dT) as a function of the photon energy; ● experimental, — calculated using Eq. (8)

Tables (1)

Tables Icon

Table I Coefficients of the Refractive index Dispersion Representation; n() = A + Bhν + C()3

Equations (8)

Equations on this page are rendered with MathJax. Learn more.

2 n d λ m , θ ( 1 - sin 2 θ n 2 ) 1 / 2 = m ,
d = 1 N 1 m , θ N n d sin θ ( 1 - m 2 λ m , θ 2 4 n 2 d 2 ) 1 / 2 ,
n ( h ν ) = A + B h ν + C ( h ν ) 3 .
n ( T ) = n 0 + A exp ( T 0 / T ) exp ( T 0 / T ) - 1 ,
n ( T 1 ) - n ( T 2 ) = A [ exp ( T 0 / T 1 ) exp ( T 0 / T 1 ) - 1 - exp ( T 0 / T 2 ) exp ( T 0 / T 2 ) - 1 ] .
d n d T = A T 0 T 2 exp ( T 0 / T ) [ exp ( T 0 / T ) - 1 ] 2 .
d n d T = ( d n d T ) e + ( d n d T ) l ,
d n d T = 1 2 n ω p 2 ω g 2 - ω 2 ( - β - 2 ω g d ω g d T 1 1 - ω 2 / ω g 2 ) ,

Metrics