All my research is devoted, in one way or another, to studying the interaction of light with matter or to using light to probe the structure and properties of matter. This intersects with the areas of condensed matter physics, chemical physics, atomic and molecular spectroscopy, nano-optics and biomedical optical imaging. The latter has been my main focus for the past ten years. The problems that arise in biomedical imaging with light are often very mathematical in nature. This naturally brought me to the fields of radiative transport and inverse problems. In the past, I was very interested in the interplay between the geometrical and optical properties of physical objects. In biomedical imaging, I am still looking at the same problem, but from a different point of view. While in the past I was seeking to determine the optical properties of samples whose geometry is known (this is often referred to as the forward problem), now I am interested in using optical measurements to deduce information about the sample geometry (the inverse problem).
I have used numerical computing throughout my entire career and it still plays a very important role in my research. I enjoy writing code and have more than 20 years of programming experience.
Selected Publications
Florescu, L, Schotland, JC, Markel, VA: Single-scattering optical tomography. Physical Review E 79(3): 036607, 2009.
Panasyuk, GY, Schotland, JC, Markel, VA: Short-distance expansion for the electromagnetic half-space Green’s tensor: General results and an application to radiative lifetime computations
Journal of Physics A 42(27): 275203, 2009.
Markel, VA: Correct definition of the Poynting vector in electrically and magnetically polarizable medium reveals that negative refraction is impossible: reply. Optics Express 17(9): 7325-7327, 2009.
Lukic, V, Markel, VA, Schotland, JC: Optical tomography with structured illumination. Optics Letters 34(7): 983-985, 2009.
Machida, M, Panasyuk, JY, Schotland, JC, Markel, VA: Diffusion approximation revisited. Journal of the Optical Society of America A 26(5): 1291-1300, 2009.
Panasyuk, JY, Schotland, JC, Markel, VA: Classical theory of optical nonlinearity in conducting nanoparticles. Physical Review Letters 199(4): 047402, 2008.
Govyadinov, AA, Markel, VA: From slow to superluminal propagation: Dispersive properties of surface plasmon polaritons in linear chains of metallic nanospheroids. Physical Review B 78(3): 035403, 2008.
Konecky, SD, Panasyuk, GY, Lee, K, Markel, V, Yodh, AG, Schotland, JC: Imaging complex structures with diffuse light. Optics Express 16(7): 5048-5060, 2008.
Markel, VA: Correct definition of the Poynting vector in electrically and magnetically polarizable medium reveals that negative refraction is impossible. Optics Express 16(23): 19152-19168, 2008.
Panasyuk, GY, Wang, ZM, Schotland, JC, Markel, VA: Fluorescent optical tomography with large data sets. Optics Letters 33(15): 1744-1746, 2008.
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Last updated: 09/02/2009
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