6 papers · 1 filter
Lifetime-unified quadratic and cubic approximations of fluorescence peak time for a time-domain diffuse-light response
Junyong Eom
We study the temporal maximum of a boundary response generated by a coupled diffusion system in a half-space with Robin boundary conditions and a point fluorophore. The fluorescenc…
Strict unimodality of the exact time-domain diffuse-light response under a Robin boundary condition
Junyong Eom, Jinwan Park
Time-domain boundary measurements of diffuse light are temporal point-spread functions whose peak position is used as a robust scalar datum in diffuse optical and fluorescence imag…
Ellipsoidal characterization of neutral inclusions for imperfect bonding of high-conductivity type
Junyong Eom, Shota Fukushima, Yong-Gwan Ji +3
This paper concerns neutral inclusions for imperfect bonding of high-conductivity type. An inclusion, which is a bounded domain, is said to be of imperfect bonding of high-conducti…
Direct inversion scheme of time-domain fluorescence diffuse optical tomography by asymptotic analysis of peak time
Shuli Chen, Junyong Eom, Gen Nakamura +1
This paper proposes a direct inversion scheme for fluorescence diffuse optical tomography (FDOT) to reconstruct the location of a point target using the measured peak time of the t…
Large time behavior of ODE type solutions to nonlinear diffusion equations
Junyong Eom, Kazuhiro Ishige
Consider the Cauchy problem for a nonlinear diffusion equation \begin{equation} \tag{P} \left\{ \begin{array}{ll} \partial_t u=Δu^m+u^α& \quad\mbox{in}\quad{\bf R}^N\times(0,\infty…
Stationary viscoelastic wave fields generated by scalar wave functions
Junyong Eom, Gen Nakamura
The usual Helmholtz decomposition gives a decomposition of any vector valued function into a sum of gradient of a scalar function and rotation of a vector valued function under som…