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American Journal of Physics

Single-Slit Diffraction Pattern of a Thermal Atomic Potassium Beam

J.A. Leavitt, Francis Anthony Bills

Published Sep 1, 1969• 32 citations
Publisher

Abstract

The diffraction of a full thermal neutral atomic potassium beam by a single slit has been observed. Four experimental diffraction patterns of a 23.0(±0.4)μ diffracting slit were obtained with an atomic-beam apparatus which had a 2.5(±1)μ source slit, a 3.0(±0.1)μ detector wire, a source-to-slit distance of 96 cm, a slit-to-detector distance of 100 cm, and an oven temperature of 533° K. The experimental pattern was reproducible and is in good general agreement with the prediction of de Broglie's hypothesis and simple scalar Fresnel diffraction theory. The effect of diffraction is clearly evident; two prominent diffraction fringes are present on the top corners of the beam profiles. The theoretical prediction, calculated with the aid of a computer, included the effects of finite source and detector widths and the Maxwellian speed distribution of the K beam. Additional theoretical calculations showed that no major improvement in the clarity of the diffraction fringes could be obtained by using a velocity-selected beam, a Li7 beam, or a narrower diffracting slit.

DOI
10.1119/1.1975924

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The diffraction of a full thermal neutral atomic potassium beam by a single slit has been observed. Four experimental diffraction patterns of a 23.0(±0.4)μ diffracting slit were obtained with an atomic-beam apparatus which had a 2.5(±1)μ source slit, a 3.0(±0.1)μ detector wire, a source-to-slit distance of 96 cm, a slit-to-detector distance of 100 cm, and an oven temperature of 533° K. The experimental pattern was reproducible and is in good general agreement with the prediction of de Broglie's hypothesis and simple scalar Fresnel diffraction theory. The effect of diffraction is clearly evident; two prominent diffraction fringes are present on the top corners of the beam profiles. The theoretical prediction, calculated with the aid of a computer, included the effects of finite source and detector widths and the Maxwellian speed distribution of the K beam. Additional theoretical calculations showed that no major improvement in the clarity of the diffraction fringes could be obtained by using a velocity-selected beam, a Li7 beam, or a narrower diffracting slit.
Results of high flux atom interferometry experiments with potassium in generalized Talbot-vonLau configurations are presented. The interferometer consists of a sequence of three planar vacuum slit diffraction gratings, microfabricated from silicon nitride membranes. Interference fringes are sensed by measuring the transmission of atoms on a hot-wire as a function of grating relative position. Different spatial Fourier components (up to fifth) in the diffraction pattern are resonant in the interferometer at different atomic velocities. When a laser cooled slow beam is incident, various different diffraction patterns are observed as a function of atomic velocity, selected via the tuning of D2 cooling lasers. In an alternative “Heisenberg Microscope” configuration an incident thermal beam produces a velocity average over different fringe Fourier components. Fringe patterns for each HFS component are revealed by their selective destruction by AC modulated weak Dl laser light passing through the interferometer near the middle grating. Since imaging of the fluorescent light could determine which slit an atom passes, the laser removes the fringe pattern contribution by Doppler shifted atoms at its wavelength. That contribution is thus AC modulated and detected. Shifts of the patterns by gravity and rotation are evident when the vacuum chamber is tilted.
Results of atom interferometry experiments in generalized Talbot-vonLau configurations are presented. AC modulated D2 light from diode lasers is counter-directed on a thermal potassium beam. A pA AC current of cold, slow potassium atoms is extracted through a slit in a heated mirror, transmitted through an interferometer, and ionized by a hotwire. The interferometer consists of a sequence of three planar vacuum slit diffraction gratings, microfabricated from silicon nitride membranes. Interference fringes form a Moire with the third grating and are sensed by measuring the transmission as a function of grating relative position. Different spatial Fourier components (up to 5th) in the diffraction pattern, resonant in the interferometer at different atomic velocities, may be selected via the tuning of the cooling lasers. Shifts of the patterns by gravity and rotation are evident when the vacuum chamber is tilted.
Results of experiments to cool and decelerate potassium atoms are described. D2 light from one RF modulated, from two CW, or from two ramped diode laser(s) is counter-directed on a potassium - effusing oven`s exit slit via a heated inclined mirror, with a 60{mu} slit cut through it to extract the cooled beam. The pumping light (or RF amplitude) is AC modulated to allow phase sensitive detection of the cooled/decelerated velocity components. Velocity profiles are obtained via fluorescence from D1 excitation at near parallel incidence by a probe laser. Fluorescence excited perpendicularly resolves the K{sup 39} and K{sup 41} hyperfine structures and calibrates the probe wavelength. Velocity component holes and decelerated peaks are observed in all three modes. AC and DC spatial profiles of the beam are measured with a position scanned hotwire detector. While the hole component maintains the spatial profile of the parent thermal beam, perpendicular heating of the decelerated peak component is evidenced by its broader spatial profile.
We present results of atom interferometry experiments in which spatial matter - wave interference is revealed by its selective destruction. A thermal potassium beam is transmitted through a velocity selective atom interferometer and detected. The interferometer is a sequence of three diffraction gratings. Interference fringes forming a Moire pattern with the third grating determine the transmission. The thermal beam produces a velocity average over different fringe Fourier components, each resonant in the interferometer at a different atomic velocity. AC modulated laser light passes through the interferometer, near the middle grating. Since imaging of the fluorescent light could be used to determine which slit an atom passes, the contribution to the fringe pattern by atoms at the laser`s Doppler shifted wavelength is removed. That component is thus AC modulated and detected. This {open_quotes}atom interference filter{close_quotes} resolves the K{sup 39} HFS.
A high-resolution, high-intensity, spiral velocity selector has been designed for the study of the velocity distributions of the components of atomic and molecular beams. It has been found possible to design oven slits which closely approximate the ideal aperture of kinetic theory. An analysis has been made of the velocity distributions in beams of potassium and thallium over a range of velocity from 0.3 to 2.5 times the most probable velocity in the oven. The agreement between the observed distribution and that deduced, on the basis of the assumptions that the distribution in the oven is Maxwellian and that the aperture is ideal, is very good.
A dc hot thermal and an ac-modulated cold slow potassium beam copropagate and pass through an atom de Broglie--wave interferometer, consisting of a sequence of three microfabricated diffraction gratings. Talbot-vonLau interference fringes are formed and sensed by measuring transmission with a hot wire as a function of grating position. The hot beam produces diffraction-limited shadow Moir\'e fringes, while the longer de Broglie wavelength slow beam produces interference fringes with high visibility at the fifth and sixth spatial harmonics of the shadow Moir\'e fringes.