Biophotonics_Concepts_to_Applications

(Dana P.) #1

6 :12. Suppose that tooth dentin has an absorption coefficient of 6 cm−^1 and a
scattering coefficient of 1200 cm−^1 for a HeNe laser emitting at a wavelength
of 633 nm. Show that the optical albedo of this dental tissue is 0.995.
6 :13. Consider the cylindrical diffuser device of length L shown in Fig.6.22.
Assume the diffuser produces a uniform radial distribution along the length
of thefiber and that 80 % of the input power is radiated out of the diffuser.
If P is the optical power level input to the diffuser, what is the irradiance at a
distance R from the center of the cylinder?
6 :14. Consider a Nd:YAG laser that emits at a wavelength of 1064μm. (a) If the
absorption coefficient of an irradiated abdominal tissue isμa=18cm−^1 ,
show that the optical penetration depth into the tissue is 0.56 mm.
(b) Suppose the power from a single 16-ms Nd:YAG pulse is 2.6 W and that
it is delivered to the tissue through an opticalfiber with a core radius of 300
μm. Assuming that the factorρC≈4.2 J/(cm^3 /°C) holds for tissue, show that
the maximum temperature rise in the tissue due to this pulse is 63 °C.
6 :15. Compare the radiant exposure in J/cm^2 for the following two optical pulses:


(a) A 10-ps pulse with an irradiance of 8× 1011 W/cm^2
(b) A 100-ns pulse with an irradiance of 7.3× 109 W/cm^2
(Answer: 8 J/cm^2 and 730 J/cm^2 .)

References



  1. W.F. Cheong, S.A. Prahl, A.J. Welch, A review of the optical properties of biological tissues.
    IEEE J. Quantum Elec. 26 , 2166–2185 (1990)

  2. R. Menzel,Photonics: Linear and Nonlinear Interactions of Laser Light and Matter, 2nd edn.
    (Springer, Berlin, 2007)

  3. N.H. Niemz,Laser-Tissue Interaction, 3rd edn. (Springer, Berlin, 2007)

  4. A.J. Welch, M.J.C. van Gemert (eds.),Optical-Thermal Response of Laser-Irradiated Tissue,
    2nd edn. (Springer, Berlin, 2011)

  5. M. Schmitt, T. Mayerhöfer, J. Popp, Light-matter interaction, Chap. 3, inHandbook of
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    Heinemann (Wiley, London, 2011)

  6. S.L. Jacques, Optical properties of biological tissues: a review. Phys. Med. Biol. 58 (11), R37–
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  7. K. Kulikov,Laser Interaction with Biological Material(Springer, Berlin, 2014)

  8. J. Mobley, T. Vo-Dinh, V.V. Tuchin, Optical properties of tissue, Chap. 2, inBiomedical
    Photonics Handbook, 2nd edn., ed. by T. Vo-Dinh (CRC Press, Boca Raton, FL, 2014),
    pp. 23– 121

  9. V.V. Tuchin, Light-tissue interactions, Chap. 3, inBiomedical Photonics Handbook, 2nd edn.,
    ed. by T. Vo-Dinh (CRC Press, Boca Raton, Florida, 2014), pp. 123– 167

  10. M. Olivo, U.S. Dinish (eds.),Frontiers in Biophotonics for Translational Medicine(Springer,
    Singapore, 2016)

  11. A.H.-P. Ho, D. Kim, M.G. Somekh (eds.), Handbook of Photonics for Biomedical
    Engineering(Springer, Berlin, 2016)


6.9 Problems 193

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