title: Depth profiling of laser-heated chromophores in biological tissues by pulsed photothermal radiometry.
abstract: A solution method is proposed to the inverse problem of determining the unknown initial temperature distribution in a laser-exposed test material from measurements provided by infrared radiometry. A Fredholm integral equation of the first kind is derived that relates the temporal evolution of the infrared signal amplitude to the unknown initial temperature distribution in the exposed test material. The singular-value decomposition is used to demonstrate the severely ill-posed nature of the derived inverse problem. Three inversion methods are used to estimate solutions for the initial temperature distribution. A nonnegatively constrained conjugate-gradient algorithm using early termination is found superior to unconstrained inversion methods and is applied to image the depth of laser-heated chromophores in human skin.
authors.affiliation: Beckman Laser Institute and Medical Clinic, Department of Dermatology, University of California, Irvine 92715, USA.
authors.forename: T E
authors.initials: TE
authors.lastname: Milner
authors.forename: D M
authors.initials: DM
authors.lastname: Goodman
authors.forename: B S
authors.initials: BS
authors.lastname: Tanenbaum
authors.forename: J S
authors.initials: JS
authors.lastname: Nelson
mesh_terms: D000042:Absorption; D000465:Algorithms; D001808:Blood Vessels / Q000502:physiology; D062109:Dermatologic Surgical Procedures; D006454:Hemoglobins / Q000502:physiology; D006358:Hot Temperature; D006801:Humans; D053685:Laser Therapy; D008543:Melanins / Q000502:physiology*; D011874:Radiometry / Q000379:methods; D012867:Skin / Q000098:blood supply; D012879:Skin Physiological Phenomena
chemical_list: D006454:Hemoglobins; D008543:Melanins