3D Legendre Lissajous Figures

An electronic device has been constructed which manipulates the primary beam in the conventional transmission microscope to illuminate a specimen under a variety of virtual condenser aperture conditions. The device uses the existing tilt coils of the microscope, and modulates the D.C. signals to both x and y tilt directions simultaneously with various waveforms to produce Lissajous figures in the back-focal plane of the objective lens. Electron diffraction patterns can be recorded which reflect the manner in which the direct beam is tilted during exposure of a micrograph. The device has been utilized mainly for the hollow cone imaging mode where the device provides a microscope transfer function without zeros in all spatial directions and has produced high resolution images which are also free from the effect of chromatic aberration. A standard second condenser aperture is employed and the width of the cone annulus is readily controlled by defocusing the second condenser lens.

Performance evaluation of a phase retrieval algorithm from sequences of interferograms with unknown phase shifts using generalized N-dimensional Lissajous figures

10.1117/12.2063352 ◽

2014 ◽

Author(s):

Armando Albertazzi Jr. ◽

Analucia Fantin ◽

Mauro Benedet ◽

Daniel Willemann ◽

Allison Maia

Keyword(s):

Performance Evaluation ◽

Phase Retrieval ◽

Phase Shifts ◽

Retrieval Algorithm ◽

Unknown Phase ◽

Lissajous Figures ◽

Phase Retrieval Algorithm

Lissajous Figures and Chebyshev Polynomials

College Mathematics Journal ◽

10.1080/07468342.2003.11921995 ◽

2003 ◽

Vol 34 (2) ◽

pp. 122-127 ◽

Cited By ~ 2

Author(s):

Julio Castiñeira Merino

Keyword(s):

Chebyshev Polynomials ◽

Lissajous Figures

Three‐dimensional Lissajous figures

The Physics Teacher ◽

10.1119/1.2342678 ◽

1989 ◽

Vol 27 (2) ◽

pp. 98-101

Author(s):

John M. D’Mura

Keyword(s):

Three Dimensional ◽

Lissajous Figures

On Hysteresis Loops and Lissajous' Figures, and on the Energy wasted in a Hysteresis Loop

Proceedings of the Physical Society of London ◽

10.1088/1478-7814/22/1/331 ◽

1909 ◽

Vol 22 (1) ◽

pp. 454-476

Author(s):

Silvanus P Thompson

Keyword(s):

Hysteresis Loop ◽

Hysteresis Loops ◽

Lissajous Figures

Discrete Frequency Component Determination of CW Modulated Signals by Lissajous Figures

IETE Journal of Education ◽

10.1080/09747338.2003.12088396 ◽

2003 ◽

Vol 44 (4) ◽

pp. 193-199

Author(s):

P Hari Krishna Prasad

Keyword(s):

Frequency Component ◽

Discrete Frequency ◽

Lissajous Figures ◽

Modulated Signals

Lissajous Figures

The Journal of the Acoustical Society of America ◽

10.1121/1.1916319 ◽

1946 ◽

Vol 17 (3) ◽

pp. 228-230 ◽

Cited By ~ 3

Author(s):

I. Bernard Cohen

Keyword(s):

Lissajous Figures

Fourier analysis with Lissajous figures

American Journal of Physics ◽

10.1119/1.14133 ◽

1985 ◽

Vol 53 (3) ◽

pp. 252-254 ◽

Cited By ~ 2

Author(s):

P. P. Ong ◽

S. H. Tang

Keyword(s):

Fourier Analysis ◽

Lissajous Figures

Lissajous Figures and Phase Measurements (film)

American Journal of Physics ◽

10.1119/1.10219 ◽

1976 ◽

Vol 44 (11) ◽

pp. 1144-1144

Author(s):

Bruce G. Eaton ◽

Doug N. Chard ◽

M. Paul Hagelberg

Keyword(s):

Phase Measurements ◽

Lissajous Figures

Nonhomogeneity of lung response to inhaled histamine assessed with alveolar capsules

Journal of Applied Physiology ◽

10.1152/jappl.1985.58.6.1914 ◽

1985 ◽

Vol 58 (6) ◽

pp. 1914-1922 ◽

Cited By ~ 52

Author(s):

J. J. Fredberg ◽

R. H. Ingram ◽

R. G. Castile ◽

G. M. Glass ◽

J. M. Drazen

Keyword(s):

Frequency Dependence ◽

Forced Oscillations ◽

High Frequency Oscillation ◽

Lung Field ◽

Tidal Breathing ◽

Lissajous Figures ◽

Airway Opening ◽

Airway Responses ◽

Behavior Frequency ◽

The Right

To assess the homogeneity of airway responses to inhaled histamine we examined regional alveolar pressure excursions (PA) arising from small-amplitude oscillations applied at the airway opening (Pao). In five anesthetized and vagotomized dogs the sternum was split and the anterior right lung field exposed. PA was sampled using four capsules affixed to the right apical and middle lobes while lung impedance (ZL) and airway impedances (Zaw) were measured during conventional tidal breathing and during forced oscillations (2–60 HZ at 10 cmH2O distending pressure). During tidal breathing after exposure to aerosol histamine regional PA's could be separated into three groups by plotting Lissajous figures of PA vs. Pao: PA in phase with Pao (no looping), PA lagging Pao (moderate looping), and PA decreasing while Pao was increasing and vice versa (paradoxical looping), suggesting unresponsive, responsive, and closed pathways, respectively, between the airway opening and specific alveolar zones. During high-frequency oscillation the corresponding PA spectra were markedly different from control spectra and revealed resonant amplification, overdamped resonance, and marked attenuation, respectively. With induced bronchospasm resonant amplification of PA was damped on average. However, the more obstructed and closed pathways were protected from resonant amplification, and the more open (nonlooping) pathways were subjected to resonant amplification greater than in the control state. In spite of this markedly nonhomogeneous behavior, frequency dependence of ZL was consistent with the model by Mead (J. Appl. Physiol. 26: 670–673, 1969), which ignores nonhomogeneity of peripheral compartments. These data demonstrate that the response of airways to inhaled histamine is nonhomogeneous but that frequency dependence of ZL above 2 Hz is not sufficient to characterize this nonhomogeneity.