Effects of the Incidence of a Gaussian Temporal Short-Pulse Laser of Different Spatial Profiles on a Two-Dimensional, Rectangular, Inhomogeneous Participating Medium

REFERENCES

• L. S. Bass and M. R. Treat , Laser Tissue Welding: A Comprehensive Review of Current and Future Applications , Lasers Surg. Med. , vol. 17 , pp. 315 – 349 , 1995 .
   PubMed Web of Science ®Google Scholar
• K. H. Kim , Z. Guo , J. K.-J. Li , and S. Kumar , Radiation Heat Transfer in Tissue Welding and Soldering with Ultrafast Lasers , Proc. IEEE 29th Annual Northeast Bioengineering Conf. , NJIT , Newark , NJ , March 22 and 23 , 2003 , pp. 185 – 186 .
   Google Scholar
• C. L. Tien , A. Majumdar , and F. M. Gerner , Microscale Energy Transfer , Taylor & Francis , Washington , DC , 1997 .
   Google Scholar
• S. Kumar and K. Mitra , Microscale Aspects of Thermal Radiation Transport and Laser Applications , Adv. Heat Transfer , vol. 33 , pp. 187 – 294 , 1999 .
   Google Scholar
• M. Sakami , K. Mitra , and T. Vo-Dinh , Analysis of Short-Pulse Laser Photon Transport through Tissues for Optical Tomography , Opt. Lett. , vol. 27 , pp. 336 – 338 , 2002 .
   PubMed Web of Science ®Google Scholar
• F. H. Loesel , F. P. Fisher , H. Suhan , and J. F. Bille , Non-thermal Ablation of Neutral Tissue with Femto-second Laser Pulses , Appl. Phys. B. , vol. 66 , pp. 121 – 128 , 1998 .
   Web of Science ®Google Scholar
• Y. Yamada , Light-tissue Interaction and Optical Imaging in Bio-medicine , vol. 6 , pp. 1 – 59 , Beggel House , New York , 1995 .
   Google Scholar
• K. Kim and Z. Guo , Ultrafast Radiation Heat Transfer in Laser Tissue Welding and Soldering , Numer. Heat Transfer A , vol. 46 , pp. 23 – 40 , 2004 .
   Web of Science ®Google Scholar
• Z. Guo , S. K. Wan , D. A. August , J. Ying , S. M. Dunn , and J. L. Semmlow , Optical Imaging of Breast Tumor through Temporal Log-Slope Difference Mappings , Comput. Biol. Med. , vol. 36 , pp. 209 – 223 , 2006 .
   PubMed Web of Science ®Google Scholar
• S. K. Wan and Z. Guo , Correlative Studies in Optical Reflectance Measurements of Cerebral Blood Oxygenation , J. Quant. Spectros. Radiat. Transfer , vol. 98 , pp. 189 – 201 , 2006 .
   Google Scholar
• F. Liu , K. M. Yoo , and R. R. Alfano , Ultra-fast Laser Pulse Transmission and Imaging through Biological Tissues , Appl. Opt. , vol. 32 , pp. 554 – 558 , 1993 .
   PubMed Web of Science ®Google Scholar
• V. V. Kancharla and S. C. Chen , Fabrication of Biodegradable Polymeric Micro-devices Using Laser Micromachining , Biomed. Microdevices , vol. 4 , pp. 105 – 109 , 2002 .
   Web of Science ®Google Scholar
• R. E. Walker and J. W. Mclean , Lidar Equation for Turbid Media with Pulse Stretching , Appl. Opt. , vol. 38 , pp. 2384 – 2397 , 1999 .
   PubMed Web of Science ®Google Scholar
• K. Mitra and J. H. Churnside , Transient Radiative Transfer Equation Applied to Oceanographic Lidar, Appl. Opt. , vol. 38, pp. 889–895, 1999.
   PubMed Web of Science ®Google Scholar
• K. J. Grant , J. A. Piper , D. J. Ramsay , and K. L. Williams , Pulse Lasers in Particle Detection and Sizing , Appl. Opt. , vol. 33 , pp. 416 – 417 , 1993 .
   Google Scholar
• S. K. Wan , Z. Guo , S. Kumar , J. Aber , and B. A. Garetz , Noninvasive Detection of Inhomogeneities in Turbid Media with Time-Resolved Log-Slope Analysis , J. Quant. Spectroc. Radiat. Transfer , vol. 84 , pp. 493 – 500 , 2004 .
   Web of Science ®Google Scholar
• B. S. Yilbas , Laser Short Pulse Heating: Influence of Laser Power Intensity on Temperature Fields , Numer. Heat Transfer A , vol. 46 , pp. 255 – 275 , 2004 .
   Web of Science ®Google Scholar
• B. S. Yilbas , Laser Short Pulse Heating with Convective Boundary Condition , Numer. Heat Transfer A , vol. 38 , pp. 423 – 442 , 2000 .
   Web of Science ®Google Scholar
• R. Singh , S. C. Mishra , N. K. Roy , N. S. Shekhawat , and K. Mitra , An Insight into the Modeling of Short-Pulse Laser Transport through a Participating Medium , Numer. Heat Transfer B , vol. 39 , pp. 373 – 385 , 2007 .
   Google Scholar
• K. Mitra , M. S. Lai , and S. Kumar , Transient Radiation Transport in Participating Media within a Rectangular Enclosure , J. Thermophys. Heat Transfer , vol. 11 , pp. 409 – 414 , 1997 .
   Web of Science ®Google Scholar
• K. Mitra and S. Kumar , Development and Comparisons of Models for Light-Pulse Transport through Scattering-Absorbing Media , Appl. Opt. , vol. 38 , pp. 188 – 196 , 1999 .
   PubMed Web of Science ®Google Scholar
• C. Y. Wu and S. H. Wu , Integral Equation Formulation for Transient Radiative Transfer in an Anisotropically Scattering Medium , Int. J. Heat Mass Transfer , vol. 122 , pp. 818 – 822 , 2000 .
   Google Scholar
• Z. M. Tan and P. F. Hsu , An Integral Formulation of Transient Radiative Transfer , J. Heat Transfer , vol. 123 , pp. 466 – 475 , 2001 .
   Web of Science ®Google Scholar
• Z. Guo and S. Kumar , Discrete-Ordinates Solution of Short-Pulsed Laser Transport in Two-Dimensional Turbid Media , Appl. Opt. , vol. 40 , pp. 3156 – 3163 , 2001 .
   PubMed Web of Science ®Google Scholar
• Z. Guo and S. Kumar , Radiation Element Method for Hyperbolic Radiative Transfer in Plane-Parallel Inhomogeneous Media , Numer. Heat Transfer B , vol. 39 , pp. 371 – 387 , 2001 .
   Web of Science ®Google Scholar
• Z. M. Tan and P. F. Hsu , Transient Radiative Transfer in Three-Dimensional Homogeneous and Non Homogeneous Participating Media , J. Quant. Spectroc. Radiat. Transfer , vol. 73 , pp. 181 – 194 , 2002 .
   Web of Science ®Google Scholar
• M. Sakami , K. Mitra , and P. F. Hsu , Analysis of Light-Pulse Transport through Two-Dimensional Scattering and Absorbing Media , J. Quant. Spectroc. Radiat. Transfer , vol. 73 , pp. 169 – 179 , 2002 .
   Web of Science ®Google Scholar
• P. Rath , S. C. Mishra , P. Mahanta , U. K. Saha , and K. Mitra , Discrete Transfer Method Applied to Transient Radiative Problems in Participating Medium , Numer. Heat Transfer A , vol. 44 , pp. 183 – 197 , 2003 .
   Web of Science ®Google Scholar
• S. K. Wan , Z. Guo , and S. Kumar , Rapid Diagnosis of Inhomogeneity in Turbid Media , Proc. 2003 ASME International Mechanical Engineering Congress & Exposition , Washington , DC , November 16–21 , 2003 , Paper IMECE2003-41576 , pp. 1 – 6 .
   Google Scholar
• J. C. Chai , P. F. Hsu , and Y. C. Lam , Three-Dimensional Transient Radiative Transfer Modeling Using the Finite Volume Method , J. Quant. Spectroc. Radiat. Transfer , vol. 86 , pp. 299 – 313 , 2004 .
   Web of Science ®Google Scholar
• X. Lu and P. F. Hsu , Reverse Monte Carlo Simulations of Light Propagation in Nonhomogeneous Media , J. Quant. Spectroc. Radiat. Transfer , vol. 93 , pp. 349 – 367 , 2005 .
   Web of Science ®Google Scholar
• T. Okutucu and Y. Yener , Radiative Transfer in Participating Media with Collimated Short-Pulse Gaussian Irradiation , J. Phys. D: Appl. Phys. , vol. 39 , pp. 1976 – 1983 , 2006 .
   Web of Science ®Google Scholar
• S. C. Mishra , P. Chug , P. Kumar , and K. Mitra , Development and Comparison of the DTM, the DOM and the FVM Formulations for the Short-Pulse Laser Transport through a Participating Medium , Int. J. Heat Mass Transfer , vol. 49 , pp. 1820 – 1832 , 2006 .
   Web of Science ®Google Scholar
• T. Okutucu , Y. Yener , and A. A. Busnaina , Transient Radiative Transfer in Participating Media with Pulse-Laser Irradiation—an Approximate Galerkin Solution, J. Quant. Spectroc. Radiat. Transfer , vol. 103, pp. 118–130, 2007.
   Google Scholar
• R. Muthukumaran and S. C. Mishra , Transient Response of a Planar Participating Medium Subjected to a Train of Short-Pulse Radiation , Int. J. Heat Mass Transfer , vol. 51 , pp. 2418 – 2432 , 2008 .
   Web of Science ®Google Scholar
• R. Muthukumaran and S. C. Mishra , Transport of a Train of Short-Pulse Radiation of Step Temporal Profile through a 2-D Participating Medium , Int. J. Heat Mass Transfer , vol. 51 , pp. 2282 – 2298 , 2008 .
   Web of Science ®Google Scholar
• R. Muthukumaran and S. C. Mishra , Interaction of a Short-Pulse Laser of a Gaussian Temporal Profile with an Inhomogeneous Medium , Numer. Heat Transfer A , vol. 53 , pp. 625 – 640 , 2008 .
   Web of Science ®Google Scholar
• R. Muthukumaran and S. C. Mishra , Thermal Signatures of a Localized Inhomogeneity in a 2D Participating Medium Subjected to an Ultra-Fast Step-Pulse Laser Wave , J. Quant. Spectroc. Radiat. Transfer , vol. 109 , pp. 705 – 726 , 2008 .
   Web of Science ®Google Scholar
• S. C. Mishra and H. K. Roy , Solving Transient Conduction-Radiation Problems Using the Lattice Boltzmann Method and the Finite Volume Method , J. Computat. Phys. , vol. 233 , pp. 89 – 107 , 2007 .
   Google Scholar