Abstract

Adiabatic laser calorimetry, which is the most widely used method for studying the absorption coefficients of low-loss materials, can be adapted to study both the bulk and surface absorption by using a long rod sample geometry. In the limiting case of small heat losses, calculations of the thermal rise curves obtained in laser calorimetry indicate that two regions of constant slope can be expected. The first of these can be identified with the bulk absorption coefficient only and the second with the sum of the surface and bulk absorptions. Experimental data illustrating this two-slope behavior are presented.

© 1977 Optical Society of America

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  1. L. H. Skolnik, “A Review of Techniques for Measuring Small Optical Losses in Infrared Transmitting Materials,” in Optical Properties of Highly Transparent Solids, S. S. Mitra, B. Bendow, Eds. (Plenum, New York, 1975), p. 405–434.
  2. A. Hordvik, Appl. Opt. 16, 2827 (1977).
    [CrossRef] [PubMed]
  3. M. Hass, J. W. Davisson, H. B. Rosenstock, J. Babiskin, Appl. Opt. 14, 1128 (1975).
    [CrossRef] [PubMed]
  4. M. Hass, J. W. Davission, H. B. Rosenstock, J. A. Slinkman, J. Babiskin, “Improved Laser Calorimetric Techniques,” in Optical Properties of Highly Transparent Solids, S. S. Mitra, B. Bendow, Eds. (Plenum, New York, 1975), p. 435–442.
  5. H. B. Rosenstock, D. A. Gregory, J. A. Harrington, Appl. Opt. 15, 2075 (1976).
    [CrossRef] [PubMed]
  6. H. S. Carslaw, J. C. Jaeger, Conduction of Heat in Solids (Oxford U.P., London, 1959), p. 50.
  7. H. B. Rosenstock, in “High Energy Laser Windows,” Semi-Annual report 6, ARPA Order 2031 (Naval Research Laboratory, Washington, D.C., 30September1975), p. 15.
  8. M. Hass, J. W. Davisson, P. H. Klein, L. L. Boyer, J. Appl. Phys. 45, 3959 (1974).
    [CrossRef]
  9. E. Jahnke, F. Emde, Tables of Functions (Dover, New York, 1945), p. 143.
  10. L. B. Jolley, Summation of Series (Dover, New York, 1961); Formula (573) reads∑1cos2nπθ/(2nπ)2=[θ2-θ+(1/6)]/4.Formula (559) reads2a2∑1cosnθ/(n2+a2)=-1+aπ cosha(π-θ)sinhaπ.

1977 (1)

1976 (1)

1975 (1)

1974 (1)

M. Hass, J. W. Davisson, P. H. Klein, L. L. Boyer, J. Appl. Phys. 45, 3959 (1974).
[CrossRef]

Babiskin, J.

M. Hass, J. W. Davisson, H. B. Rosenstock, J. Babiskin, Appl. Opt. 14, 1128 (1975).
[CrossRef] [PubMed]

M. Hass, J. W. Davission, H. B. Rosenstock, J. A. Slinkman, J. Babiskin, “Improved Laser Calorimetric Techniques,” in Optical Properties of Highly Transparent Solids, S. S. Mitra, B. Bendow, Eds. (Plenum, New York, 1975), p. 435–442.

Boyer, L. L.

M. Hass, J. W. Davisson, P. H. Klein, L. L. Boyer, J. Appl. Phys. 45, 3959 (1974).
[CrossRef]

Carslaw, H. S.

H. S. Carslaw, J. C. Jaeger, Conduction of Heat in Solids (Oxford U.P., London, 1959), p. 50.

Davission, J. W.

M. Hass, J. W. Davission, H. B. Rosenstock, J. A. Slinkman, J. Babiskin, “Improved Laser Calorimetric Techniques,” in Optical Properties of Highly Transparent Solids, S. S. Mitra, B. Bendow, Eds. (Plenum, New York, 1975), p. 435–442.

Davisson, J. W.

M. Hass, J. W. Davisson, H. B. Rosenstock, J. Babiskin, Appl. Opt. 14, 1128 (1975).
[CrossRef] [PubMed]

M. Hass, J. W. Davisson, P. H. Klein, L. L. Boyer, J. Appl. Phys. 45, 3959 (1974).
[CrossRef]

Emde, F.

E. Jahnke, F. Emde, Tables of Functions (Dover, New York, 1945), p. 143.

Gregory, D. A.

Harrington, J. A.

Hass, M.

M. Hass, J. W. Davisson, H. B. Rosenstock, J. Babiskin, Appl. Opt. 14, 1128 (1975).
[CrossRef] [PubMed]

M. Hass, J. W. Davisson, P. H. Klein, L. L. Boyer, J. Appl. Phys. 45, 3959 (1974).
[CrossRef]

M. Hass, J. W. Davission, H. B. Rosenstock, J. A. Slinkman, J. Babiskin, “Improved Laser Calorimetric Techniques,” in Optical Properties of Highly Transparent Solids, S. S. Mitra, B. Bendow, Eds. (Plenum, New York, 1975), p. 435–442.

Hordvik, A.

Jaeger, J. C.

H. S. Carslaw, J. C. Jaeger, Conduction of Heat in Solids (Oxford U.P., London, 1959), p. 50.

Jahnke, E.

E. Jahnke, F. Emde, Tables of Functions (Dover, New York, 1945), p. 143.

Jolley, L. B.

L. B. Jolley, Summation of Series (Dover, New York, 1961); Formula (573) reads∑1cos2nπθ/(2nπ)2=[θ2-θ+(1/6)]/4.Formula (559) reads2a2∑1cosnθ/(n2+a2)=-1+aπ cosha(π-θ)sinhaπ.

Klein, P. H.

M. Hass, J. W. Davisson, P. H. Klein, L. L. Boyer, J. Appl. Phys. 45, 3959 (1974).
[CrossRef]

Rosenstock, H. B.

H. B. Rosenstock, D. A. Gregory, J. A. Harrington, Appl. Opt. 15, 2075 (1976).
[CrossRef] [PubMed]

M. Hass, J. W. Davisson, H. B. Rosenstock, J. Babiskin, Appl. Opt. 14, 1128 (1975).
[CrossRef] [PubMed]

M. Hass, J. W. Davission, H. B. Rosenstock, J. A. Slinkman, J. Babiskin, “Improved Laser Calorimetric Techniques,” in Optical Properties of Highly Transparent Solids, S. S. Mitra, B. Bendow, Eds. (Plenum, New York, 1975), p. 435–442.

H. B. Rosenstock, in “High Energy Laser Windows,” Semi-Annual report 6, ARPA Order 2031 (Naval Research Laboratory, Washington, D.C., 30September1975), p. 15.

Skolnik, L. H.

L. H. Skolnik, “A Review of Techniques for Measuring Small Optical Losses in Infrared Transmitting Materials,” in Optical Properties of Highly Transparent Solids, S. S. Mitra, B. Bendow, Eds. (Plenum, New York, 1975), p. 405–434.

Slinkman, J. A.

M. Hass, J. W. Davission, H. B. Rosenstock, J. A. Slinkman, J. Babiskin, “Improved Laser Calorimetric Techniques,” in Optical Properties of Highly Transparent Solids, S. S. Mitra, B. Bendow, Eds. (Plenum, New York, 1975), p. 435–442.

Appl. Opt. (3)

J. Appl. Phys. (1)

M. Hass, J. W. Davisson, P. H. Klein, L. L. Boyer, J. Appl. Phys. 45, 3959 (1974).
[CrossRef]

Other (6)

E. Jahnke, F. Emde, Tables of Functions (Dover, New York, 1945), p. 143.

L. B. Jolley, Summation of Series (Dover, New York, 1961); Formula (573) reads∑1cos2nπθ/(2nπ)2=[θ2-θ+(1/6)]/4.Formula (559) reads2a2∑1cosnθ/(n2+a2)=-1+aπ cosha(π-θ)sinhaπ.

L. H. Skolnik, “A Review of Techniques for Measuring Small Optical Losses in Infrared Transmitting Materials,” in Optical Properties of Highly Transparent Solids, S. S. Mitra, B. Bendow, Eds. (Plenum, New York, 1975), p. 405–434.

M. Hass, J. W. Davission, H. B. Rosenstock, J. A. Slinkman, J. Babiskin, “Improved Laser Calorimetric Techniques,” in Optical Properties of Highly Transparent Solids, S. S. Mitra, B. Bendow, Eds. (Plenum, New York, 1975), p. 435–442.

H. S. Carslaw, J. C. Jaeger, Conduction of Heat in Solids (Oxford U.P., London, 1959), p. 50.

H. B. Rosenstock, in “High Energy Laser Windows,” Semi-Annual report 6, ARPA Order 2031 (Naval Research Laboratory, Washington, D.C., 30September1975), p. 15.

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