9 papers
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…
Real-time inversion of two-dimensional Fresnel experimental database using orthogonality sampling method with single and multiple sources: the case of transverse electric polarized waves
Junyong Eom, Sangwoo Kang, Minyeob Lee +1
This paper concerns an application of the orthogonality sampling method (OSM) for a real-time identification of small objects from two-dimensional Fresnel experimental dataset in t…
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…
Approximate peak time to time-domain fluorescence diffuse optical tomography for nonzero fluorescence lifetime
Shuli Chen, Junyong Eom, Gen Nakamura +1
This paper concerns an inverse problem for fluorescence diffuse optical tomography (FDOT) reconstructing locations of multiple point targets from the measured temporal response fun…
Expression of the peak time for time-domain boundary measurements in diffuse light
Junyong Eom, Manabu Machida, Gen Nakamura +2
Light propagation through diffusive media can be described by the diffusion equation in a space-time domain. Further, fluorescence can be described by a system of coupled diffusion…
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…