Publications

2012

Adler G. Santos, Quirino M. Sugon, Jr., and Daniel J. McNamara, “Polarization ellipse and Stokes parameters in geometric algebra,” J. Opt. Soc. Am. A 29, 89-98 (2012).

2010

Michelle Wynne C. Sze, Quirino M. Sugon, Jr., and Daniel J. McNamara, “Oblique superposition of two elliptically polarized lightwaves using geometric algebra: is energy–momentum conserved?,” J. Opt. Soc. Am. A 27, 2468-2479 (2010)

2008

Quirino M. Sugon Jr. and Daniel J. McNamara, “Poisson commutator-anticommutator brackets for ray tracing and longitudinal imaging via geometric algebra,” arXiv:0812.2979v1 [math-ph] (16 Dec 2008). 10 pages, 9 figures.

Quirino M. Sugon Jr. and Daniel J. McNamara, “Revisiting 2×2 matrix optics: Complex vectors, Fermion combinatorics, and Lagrange invariants,” arXiv:0812.0664v1 [physics.optics] (3 Dec 2008).

Quirino M. Sugon Jr., Carlo B. Fernandez, and Daniel J. McNamara, “A geometric algebra reformulation of 2×2 matrices: the dihedral group D_4 in bra-ket notation,” arXiv:0811.3680v1 [math-ph] (24 Nov 2008).

Quirino M. Sugon Jr. and Daniel J. McNamara, “Paraxial meridional ray tracing equations from the unified reflection-refraction law via geometric algebra,” arXiv:0810.5224v1 [physics.optics] (29 Oct 2008).

Quirino M. Sugon Jr. and Daniel J. McNamara, “Taxonomy of Clifford Cl_3,0 subgroups: choir and band groups,” arXiv:0809.0351v1 [math-ph] (2 Sep 2008).

Quirino M. Sugon Jr., Sarah Bragais, and Daniel J. McNamara, “Copernicus’s epicycles from Newton’s gravitational force law via linear perturbation theory in geometric algebra,” arXiv:0807.2708v1 [physics.space-ph] (17 Jul 2008).

Quirino M. Sugon Jr. and Daniel J. McNamara, “Electromagnetic energy-momentum equation without tensors: a geometric algebra approach,” arXiv:0807.1382v1 [physics.class-ph] (9 Jul 2008).

2006

Quirino M. Sugon Jr. and Daniel J. McNamara, “Ray tracing in spherical interfaces using geometric algebra,” Advances in Imaging and Electron Physics, ed. by Peter W. Hawkes, 139, pp. 179-224 (2006).

2004

Quirino M. Sugon Jr. and Daniel J. McNamara, “A geometric algebra reformulation of geometric optics,” Am. J. Phys. 72(1), 92-97 (2004).

2002

Quirino M. Sugon Jr. and Daniel J. McNamara, “A Hestenes spacetime algebra approach to light polarization,” in Applications of Geometric Algebra in Computer Science and Engineering, ed. by L. Dorst, C. Doran, and J. Lasenby (Birkhauser, Boston, 2002), pp. 297-315.