William Case

Selected Publications

Bright and dark diffractive focusing. Manuel Rodrigues Gonçalves, Georgi Gary Rozenman, Matthias Zimmermann, Maxim A. Efremov, William B. Case, Ady Arie, Lev Shemer, and Wolfgang P. Schleich, Applied Physics B, 128, 51 (2022) 

Projectile motion of surface gravity water wave packets:  An analogy to quantum mechanics. Georgi Gary Rozenman, Matthias Zimmermann, Maxim A. Efremov, Wolfgang P. Schleich, William B. Case, Daniel M. Greenberger, Lev Shemer, and Ady Arie, The European Physical Journal Special Topics, 230, 931-935 (2021) 

The candle seesaw. Paul Tjossem, W.B. Case and R. Bass, American Journal of Physics, 87, 370 (2019)

Coupled oscillators driven with difference-frequency parametric position feedback. William B Case, Paul J H Tjossem, G. Abrams and  James F St.Germaine-Fuller, Journal of Applied Physics, 122, 124905 (2017)

Single-slit focusing and its representations. Manuel R. Gonçalves, William B. Case, Ady Arie, and Wolfgang P. Schleich, Applied Physics B, 123, 121 (2017) [from the collection "Enlightening the world with the laser"]

The Rattleback Revisited. William Case and Sahar Jalal, Am. J. of Physics 82, 654 (2014)

A diffractive mechanism of focusing. W. B. Case, E. Sadurni, W. P. Schleich, Optics Express 20, 27253, (2012)

Realization of optical carpets in the Talbot and Talbot-Lau configurations. William Case, Mathias Tomandl, Sarayut Deachapunya, and Markus Arndt, Optics Express 17, 20966 (2009)

Wigner Functions and Weyl Transforms for Pedestrians. W. Case, Am. J. of Physics 76, 937 (2008)

Book Review:  Core Electrodynamics, Sandra C. Chapman. (reviewed by W.B. Case) American Journal of Physics 70, 191 (February 2002).

The Field Oscillator Approach to Classical Electrodynamics. W. B. Case, Am. J. of Physics 68, 800 (September 2000).

Book Review: Elements of Newtonian Mechanics, J.M. Knudsen and P.G. Hjorth (reviewed by W.B. Case) Am. J. of Phys. 64, 1439 (1996).

The Pumping of a Swing from the Standing Position. W. B. Case, Am. J. of Physics 64, 215 (March 1996).

Time-delay Oscillator and Instability:  A Demonstration; William B. Case, Am. J. of Physics 62, 227 (March 1994).

On the Interesting Behavior of a Gimbal-Mounted Gyroscope; William B. Case and Michael Shay, Am. J. of Physics 60, 503 (June 1992).

New Forms in Long-Span Concrete Bridges - A Structural Study of the Felsenau and Ganter Bridges. William Case, monograph contained in Forces and Forms in Large Structures - New Liberal Arts monograph series, The Wexford Press, Copiague, NY (Dec. 1990).

The Pumping of a Swing from the Seated Position. William B. Case and Mark A. Swanson, Am. J. of Physics 58 463 (May 1990).

Cerenkov Radiators. W. Case in High-Power Microwave Sources eds. V. Granatstein and I. Alexeff, Artech House, (1987).

Back of the Envelope Calculations. W. Case, NLA news 2 no. 6 p.9 (1986).

Theory of the Cerenkov and Cyclotron - Cerenkov Instabilities in a Cold Electron Beam - Dielectric System. W. Case, R.D. Kaplan, J. Golub and J. Walsh, J. of Appl. Phys. 55, 2651, (1984)

Using Energy in a Physics Course to Teach Critical Quantitative Reasoning.  W. Case, The Weaver Vol. 2  (Spring 1984).

Nonlinear Effects in a Simple Mechanical System. T. Arnold and W. Case, Am. Jour. of Physics, 50, 220 (1982).

Parametric instability:  An elementary demonstration and discussion. William Case, Am. Jour. of Phys., 48 218 (1980).

The Gyroscope:  An Elementary Discussion of a Child's Toy. W.  Case, Am. Jour. of Phys. 45, 1107 (1977).

Particle Motion Within a Plasma Due to the Transmission of an Intense Electromagnetic Pulse. W. Case, Phys. Rev. A. 9, 924 (1974).

Inequality for the Pion Nucleon Partial Waves. A. P. Balachandran, W. Case, A. DellaSelva and S. Saito, Nuclear Physics B31, 570 (1971).

Some Constraints on Partial Waves of Helicity Amplitudes which follow from Analyticity, Unitarity and Crossing Symmetry. W. Case, Phys. Rev. D3, 2472 (1971).

A Two Variable Expansion of the Scattering Amplitude for Any Mass and Spin, and Crossing Symmetry for Partial Waves.  A. P. Balachandran, W. Case and M. Modjtehadzadeh, Phys. Rev. DI, 1773 (1970).

Constraints on Helicity Amplitudes from Analyticity, Crossing Symmetry and Unitarity.  W. Case, unpublished thesis. 1971