Skip to main content
SpringerLink
Log in
Book cover

Optical-Thermal Response of Laser-Irradiated Tissue pp 411–443Cite as

Approximate Solutions for Heat Conduction: Time Constants

  • Chapter

Part of the book series: Lasers, Photonics, and Electro-Optics ((LPEO))

Abstract

Several exact solutions for the heat conduction equation are presented in Chapter 12. As shown in Chapter 12, the solution for an instantaneous point source can be integrated over space and time to obtain the temperature response due to laser radiation. If the geometry and boundary conditions of a problem preclude the use of analytical methods, then a number of numerical methods, such as finite difference or finite element, can be employed.

This is a preview of subscription content, log in via an institution.

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   74.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Anderson RR, Parrish JA. “Microvasculature can be selectively damaged using dye lasers: A basic theory and experimental evidence in human skin,” Lasers Surg. Med. 1: 263–270 (1981).

    Article  Google Scholar 

  2. Lahaye CTW, van Gemert MJC. “Optimal laser parameters for portwine stain therapy: A theoretical approach,” Phys. Med. Biol. 30: 573–589 (1984).

    Article  Google Scholar 

  3. Furzikov NP. “Different lasers for angioplasty: Thermo-optical comparison,” IEEE J Quantum Electron. QE-23: 1751–1755 (1987).

    Google Scholar 

  4. van Gemert MJC, Welch AJ. “Time constants in thermal laser medicine,” Lasers Surg. Med. 9: 405–421 (1989).

    Article  Google Scholar 

  5. Svaasand LO. “On the propagation of thermal waves in blood perfused tissue,” Lasers Life Sci. 2: 289–311 (1988).

    Google Scholar 

  6. Carslaw HS, Jaeger JC. Conduction of Heat in Solids, 2nd ed., Clarendon Press, Oxford, 1986.

    MATH  Google Scholar 

  7. Pickering JW, Butler PH, Ring BJ, Walker EP. “Computed temperature distributions around ectatic capillaries exposed to yellow (578 nm) laser light,” Phys. Med. Biol. 34: 1247–1258 (1989).

    Article  Google Scholar 

  8. Brugmans MJP, Kemper J, Gijsbers GHM, Meulen FW van der, Gemert MJC van. “Temperature response of biological materials to pulsed non-ablative CO2 laser irradiation,” Laser Surg. Med.11: 587–594 (1991).

    Article  Google Scholar 

  9. Meijering LJT, Gemert MJC van, Gijsbers GHM, Welch AJ. “Limits of radial time constants to approximate thermal response of tissue,” Lasers Surg. Med., 13: 685–687 (1993).

    Article  Google Scholar 

  10. Jaeger JC. “Pulsed surface heating of a semi-infinite solid,” Q. Appl. Math. 11: 132–137 (1953).

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Laser Center, Academic Medical Center, 1105 AZ, Amsterdam, The Netherlands

    Martin J. C. Van Gemert

  2. Department of Electrical and Computer Engineering, The University of Texas at Austin, 78712, Austin, Texas, USA

    A. J. Welch

Authors
  1. Martin J. C. Van Gemert
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. J. Welch
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Department of Electrical and Computer Engineering, The University of Texas at Austin, 78712, Austin, Texas, USA

    Ashley J. Welch

  2. Laser Center, Academic Medical Center, 1105 AZ, Amsterdam, The Netherlands

    Martin J. C. Van Gemert

Rights and permissions

Reprints and permissions

Copyright information

© 1995 Springer Science+Business Media New York

About this chapter

Cite this chapter

Van Gemert, M.J.C., Welch, A.J. (1995). Approximate Solutions for Heat Conduction: Time Constants. In: Welch, A.J., Van Gemert, M.J.C. (eds) Optical-Thermal Response of Laser-Irradiated Tissue. Lasers, Photonics, and Electro-Optics. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-6092-7_13

Download citation

  • DOI: https://doi.org/10.1007/978-1-4757-6092-7_13

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4757-6094-1

  • Online ISBN: 978-1-4757-6092-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation