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Self-reference quantitative phase microscopy for microfluidic devices.
Jang, Jaeduck,Bae, Chae Yun,Park, Je-Kyun,Ye, Jong Chul Optical Society of America 2010 Optics letters Vol.35 No.4
<P>This Letter describes a quantitative phase microscopy for microfluidic devices using a simple self-referencing interferometry. Compared with the gross dimensions of the microfluidic device, the microchannel occupies only a small area of the device. Hence, the reference field can be generated by inverting the relative position of the specimen and background. Our system is realized using an extended depth-of-field optics in the form of Michelson interferometry, which allows quantitative phase measurement for an increased depth-of-field without moving objective lens or specimen. Furthermore, the system can be readily converted to a higher signal-to-noise ratio Hilbert phase microscopy thanks to the simultaneous acquisition of double interferograms. The performance of our system is verified using polymer beads, micropatterning poly(dimethylsiloxane) (PDMS), and embryo cells in the microchannels.</P>
Complex wavefront shaping for optimal depth-selective focusing in optical coherence tomography.
Jang, Jaeduck,Lim, Jaeguyn,Yu, Hyeonseung,Choi, Hyun,Ha, Jinyong,Park, Jung-Hoon,Oh, Wang-Yuhl,Jang, Wooyoung,Lee, SeongDeok,Park, YongKeun Optical Society of America 2013 Optics express Vol.21 No.3
<P>We report on an approach to exploit multiple light scattering by shaping the incident wavefront in optical coherence tomography (OCT). Most of the reflected signal from biological tissue consists of multiply scattered light, which is regarded as noise in OCT. A digital mirror device (DMD) is utilized to shape the incident wavefront such that the maximal energy is focused at a specific depth in a highly scattering sample using a coherence-gated reflectance signal as feedback. The proof-of-concept experiment demonstrates that this approach enhances depth-selective focusing in the presence of optical inhomogeneity, and thus extends the penetration depth in spectral domain-OCT (SD-OCT).</P>
Nonexistence of Monotonic Solutions to a Shadow System
Jang, Jaeduck 한국외국어대학교 외국학종합연구센터 부설 기초과학연구소 2002 기초과학연구 Vol.14 No.-
we consider a shadow system which is the limit case of a reaction diffusion system. The existence of monotonic solution is shown to depend on the primitive of the nonlinear term.
Radailly Symmetric Positive Solutions to a Semilinear Elliptic Problem
Jang, Jaeduck 한국외국어대학교 외국학종합연구센터 부설 기초과학연구소 1999 기초과학연구 Vol.9 No.-
We establish the existence of positive solution of ε²△u+f(u)= 0 in an annulus which is given by the Mountain Pass Lemma in the function space of radially symmetrix functions.
Uniqueness of The Positive Solutions to Singular Boundary Value Problems
Jang, Jaeduck 한국외국어대학교 외국학종합연구센터 부설 기초과학연구소 1996 기초과학연구 Vol.4 No.-
We establish an appropriate version of strong maximum principle to prove the uniqueness of the positive solutions of semilinear differential equation y〃+ λp(t)f(y)= 0 in (0,1) with zero boundary value condition.
A note the harmonic Bergman projection
Jang,Jaeduck,Koo,Hyungwon 한국외국어대학교 외국학종합연구센터 부설 기초과학연구소 1999 기초과학연구 Vol.8 No.-
On the setting of the unit ball or the upper half-space of Euclidean n-space, we investigate a mapping property of the harmonic Bergman projection. We construct examples showing that the projection is not LlogL bounded.
Wavelet minimum description length detrending for near-infrared spectroscopy
Jang, Kwang Eun,Tak, Sungho,Jung, Jinwook,Jang, Jaeduck,Jeong, Yong,Ye, Jong Chul SPIE - International Society for Optical Engineeri 2009 Journal of biomedical optics Vol.14 No.3
<P>Near-infrared spectroscopy (NIRS) can be employed to investigate brain activities associated with regional changes of the oxy- and deoxyhemoglobin concentration by measuring the absorption of near-infrared light through the intact skull. NIRS is regarded as a promising neuroimaging modality thanks to its excellent temporal resolution and flexibility for routine monitoring. Recently, the general linear model (GLM), which is a standard method for functional MRI (fMRI) analysis, has been employed for quantitative analysis of NIRS data. However, the GLM often fails in NIRS when there exists an unknown global trend due to breathing, cardiac, vasomotion, or other experimental errors. We propose a wavelet minimum description length (Wavelet-MDL) detrending algorithm to overcome this problem. Specifically, the wavelet transform is applied to decompose NIRS measurements into global trends, hemodynamic signals, and uncorrelated noise components at distinct scales. The minimum description length (MDL) principle plays an important role in preventing over- or underfitting and facilitates optimal model order selection for the global trend estimate. Experimental results demonstrate that the new detrending algorithm outperforms the conventional approaches.</P>
On Positive Solutions to Semilinear Elliptic Problems in Annular Regions
Jang, Jaeduck 한국외국어대학교 외국학종합연구센터 부설 기초과학연구소 2003 기초과학연구 Vol.16 No.-
We prove the uniqueness of the ground state solutions of △μ + f(u) = 0 in Rⁿ, N ≥2. We show the uniqueness does not depend on the behavior of the negative part of f.