Research

Steve Lindaas PhD

X-ray Microscopy:

Soft x-ray microscopy allows researchers to bridge the gap between the high resolution, low sample fidelity realm of electron microscopy and the low resolution, high sample fidelity realm of visible light microscopy[i],[ii].  While a biologist can view a cell easily in a visible light microscope that same cell must be stained, dried or frozen, and thinly sliced to be observed in an electron microscope.  A microscope using 0.2 to 1 keV x-rays is able to image unfixed, whole cells in an aqueous environment.  While the idea of an x-ray microscope dates to the early part of the 21st century it has only been in the last 25 years that practical soft x-ray microscopes have been built and only in the last decade have they become useful workhorses for researchers[iii].  The desire now is to develop methods to obtain 3D images using soft x-ray microscopes.  One promising technique is to record a tilt series of x-ray holograms[iv] of a specimen in a method known as diffraction tomography[v].  This method has been nicely demonstrated in optical experiments[vi],[vii] but significant technical and conceptual problems need to be addressed in order to use x-rays.

The basic concept for experimentally obtaining a tilt series of x-ray holograms requires using a zone plate (a spherical diffraction grating) to magnify the waveform so it can be recorded on a CCD.  A while I carried out initial experiments to show that the basic concept works to collect a single hologram.  The challenge lies in developing both experimental techniques and associated reconstruction algorithms. 

Recently groups at LLNL and SUNY Stony Brook have pushed this idea even further to eliminate the need for lenses.  The basic idea was first proposed by David Sayre quite a while back.  The basic idea is to collect a diffraction pattern from a non-periodic object (like a cell).  Now all you have to do is figure out how to back propagate your wave-field to reconstruct your object.  This is not an easy problem.  With multiple views this problem becomes slightly easier since the signal from the object reinforces. 

[Note: I plan to update this section with more references.]

[i] Jacobsen, C., Soft X-ray Microscopy. Trends in Cell Biology (1999), 9(2): p. 44-47.

[ii] Kirz, J., C. Jacobsen, and M. Howells, Soft x-ray microscopes and their biological applications. Quarterly Reviews of Biophysics (1995), 28(1): p. 33-130.

[iii] W. Meyer-Ilse, T. Warwick, and D. Attwood editors, X-ray Microscopy: Proceedings of the Sixth International Conference, American Institute of Physics, Melville, NY (2000).

[iv] S. Lindaas, M. Howells, C. Jacobsen and A. Kalinovsky, X-ray holographic microscopy by means of photoresist recording and atomic-force microscope readout,  J. of Optical Society of America A 13 (1996), no. 9, pp. 1788-1800.

[v] Wolf, E., Three-dimensional structure determination of semi-transparent objects from holographic data. Optics Communications (1969), 1: p. 153-156.

[vi] Devaney, A.J., Reconstructive tomography with diffracting wavefields. Inverse Problems (1986),  2: p. 161-183.

[vii] Maleki, M.H. and A.J. Devaney, Noniterative reconstruction of complex-valued objects from two intensity measurements. Optical Engineering (1994), 33(10): p. 3243—3253.