The 'benchmark test' files deal with problems that have known analytical solutions, to demonstrate the speed, accuracy and capabilities of CPO2D and CPO3D. The 'comments' at the ends of the test and example files contain detailed information (including key formulas) on a wide variety of problems in charged particle optics. Look further below for short descriptions of each file.
As far as we are aware, most other commercial packages offer no such tests, and certainly none offers anywhere near as many as CPO. The existence of these tests has helped to establish the reputation of the CPO programs as the 'gold standard' of electrostatic charged particle optics.
The titles of the 'benchmark test' files are
test2d01 Idealised hemispherical deflection analyzer (HDA)
test2d02 Idealised cylindrical deflection analyzer
test2d03 Parabolic motion in uniform field (cylindrical symmetry)
test2d04 Parabolic motion in uniform field (planar symmetry)
test2d05 Relativistic motion in a uniform electric field
test2d06 Capacitance of a sphere
test2d07 Capacitance of coaxial cylinders
test2d08 Time-dependent potentials
test2d09 Coefficients of hemispherical deflection analyser (HDA)
test2d10 Space-charge limited current of a spherical diode (concave cathode)
test2d11 Space-charge limited current of a spherical diode (small convex cathode)
test2d12 Planar Pierce gun
test2d13 Spherical cold field emission diode
test2d14 Cylindrical diode, small inner cathode
test2d15 Field at a circular hole in an infinite sheet
test2d16 Ideal cylindrical mirror analyzer (CMA)
test2d17 Ideal parallel plate analyzer
test2d18 Field penetration through a flat mesh of flat strips.
test2d19 Field at the tip of a cone
test2d20 Cylindrical Pierce gun
test2d21 Field at centre of a double cylinder lens
test2d22 Non-meridional rays, cylindrical symmetry electrodes.
test2d23 Non-xz-plane rays, planar symmetry electrodes.
test2d24 Motion in a User-supplied oscillating electric field.
test2d25 The ‘743’ test.
test2d26 Axial potentials of 2-tube lens.
test2d27 Parabolic mirror, electrodes defined by users equations.
test3d01 Idealised hemispherical deflection analyzer (HDA)
test3d02 Idealised cylindrical deflection analyzer
test3d03 Parabolic motion in uniform field
test3d04 Relativistic cyclotron motion
test3d05 Relativistic motion in a uniform electric field
test3d06 Capacitance of a cube
test3d07 Capacitance of a sphere
test3d08 Time-dependent oscillating potentials
test3d09 Coefficients of hemispherical deflection analyser (HDA)
test3d10 Space-charge limited current of a spherical diode (concave cathode)
test3d11 Space-charge limited current of a spherical diode (convex cathode)
test3d12 Spherical cold field emission diode
test3d13 Field at a circular hole in an infinite sheet
test3d14 Ideal cylindrical mirror analyzer (CMA)
test3d15 Capacitance of a circular disc.
test3d16 Motion in a User-supplied oscillating electric field.
test3d17 Capacitance and singularities of a tetrahedron.
test3d18 Capacitance of a unit square.
test3d19 Capacitance of a unit triangle, and summary of capacitance tests.
test3d20 Ideal quadrupole ion trap.
test3d21 Potentials of point charges.
test3d22 Spherical capacitor with dielectric in gap.
test3d23 Parallel plate capacitor with dielectric in gap.
test3d24 Field in a cavity inside a dielectric.
test3d25 Field inside a dielectric sphere.
test3d26 Field inside a dielectric cylinder.
test3d27 Capacitance of coaxial cylinders with dielectric.
test3d28 Neumann boundary conditions in a spherical system.
test3d29 Mirror image force on a charged toner particle;toner particle.
test3d30 Including mirror image force in ray tracing.
test3d31 Space-charge repulsion of 2 particles in a beam using the pulsed beam option.
test3d33 Parabolis mirror, defined by users equations.
test3d34 Ideal quadrupole ion trap, defined by users equations, replaces test3d20.