mark harder - Academia.edu (original) (raw)

Papers by mark harder

Optical Engineering, 1978

ABSTRACT The use of a shearing plate provides a simple and convenient technique for the alignment... more ABSTRACT The use of a shearing plate provides a simple and convenient technique for the alignment of optical collimating systems. A quantitative analysis of this technique is outlined. The effects of optical system aberrations are discussed.

arXiv: Mathematical Physics, 2014

In this paper an axiomatic formulation of the Schwinger Model in curved spacetime is considered. ... more In this paper an axiomatic formulation of the Schwinger Model in curved spacetime is considered. The mathematical approach utilized is that specified by Hollands and Wald in [1]. We will attempt to present the theory in this context, exhibiting the operator product expansions (OPEs) that define the theory in a follow-on paper.

It is shown how bosonic material particles can emerge from a covariant formulation of de Broglie-... more It is shown how bosonic material particles can emerge from a covariant formulation of de Broglie-Bohm theory. The formulation is based on the work of Nikolic. Material particles are continuous fields, formed as the eigenvalue of the Schrodinger field operator, evaluated along a Bohmian trajectory.

In this paper an axiomatic formulation of the Schwinger Model in curved spacetime is considered. ... more In this paper an axiomatic formulation of the Schwinger Model in curved spacetime is considered. The mathematical approach utilized is that specified by Hollands and Wald in [1]. We will attempt to present the theory in this context, exhibiting the operator product expansions (OPEs) that define the theory in a follow-on paper.

Arxiv preprint arXiv:1003.0212, 2010

An exact, closed form solution to the scalar Yukawa system in four dimensions is presented. The f... more An exact, closed form solution to the scalar Yukawa system in four dimensions is presented. The formalism is used to state and prove a theorem on the initial value problem. The method also works for a general, iso-vector form of the interacting system. We close with some comments on the quantum version of this problem.

Microwave and Optical Technology Letters, 1990

loss is due to reflections; therefore the standing wave ratio is high at the input port. 14 18 2.... more loss is due to reflections; therefore the standing wave ratio is high at the input port. 14 18 2. S. R. Seshadri, "Cylindrical Waveguide Mode Convertor for Azimuthally Symmetric Transverse Electric Modes," IEEE Proc., Vol. 135, Pt. H, December 1988, pp. 420-425. Received 12-4-89 Microwave and Optical Technology Letters, 3/3, 95-98 ABSTRACT A solution is given for refection of a plane wuve with TEM polarization from a planar surface with time valying properties. These properties are given in terms of the currents on rhe surface. The solution is obtained by numerically solving u system of differential-delay equations in the time domain.

Applied Optics, 1972

The total number, energy, and angular distribution of backscattered electrons at 200-4000 V incid... more The total number, energy, and angular distribution of backscattered electrons at 200-4000 V incident energy have been measured for clean (111)B GaAs surfaces. From the electron reflection data the modulalation transfer functions for transmission secondary electron emitters are calculated.

Optical Engineering, 1978

ABSTRACT The use of a shearing plate provides a simple and convenient technique for the alignment... more ABSTRACT The use of a shearing plate provides a simple and convenient technique for the alignment of optical collimating systems. A quantitative analysis of this technique is outlined. The effects of optical system aberrations are discussed.

arXiv: Mathematical Physics, 2014

In this paper an axiomatic formulation of the Schwinger Model in curved spacetime is considered. ... more In this paper an axiomatic formulation of the Schwinger Model in curved spacetime is considered. The mathematical approach utilized is that specified by Hollands and Wald in [1]. We will attempt to present the theory in this context, exhibiting the operator product expansions (OPEs) that define the theory in a follow-on paper.

It is shown how bosonic material particles can emerge from a covariant formulation of de Broglie-... more It is shown how bosonic material particles can emerge from a covariant formulation of de Broglie-Bohm theory. The formulation is based on the work of Nikolic. Material particles are continuous fields, formed as the eigenvalue of the Schrodinger field operator, evaluated along a Bohmian trajectory.

In this paper an axiomatic formulation of the Schwinger Model in curved spacetime is considered. ... more In this paper an axiomatic formulation of the Schwinger Model in curved spacetime is considered. The mathematical approach utilized is that specified by Hollands and Wald in [1]. We will attempt to present the theory in this context, exhibiting the operator product expansions (OPEs) that define the theory in a follow-on paper.

Arxiv preprint arXiv:1003.0212, 2010

An exact, closed form solution to the scalar Yukawa system in four dimensions is presented. The f... more An exact, closed form solution to the scalar Yukawa system in four dimensions is presented. The formalism is used to state and prove a theorem on the initial value problem. The method also works for a general, iso-vector form of the interacting system. We close with some comments on the quantum version of this problem.

Microwave and Optical Technology Letters, 1990

loss is due to reflections; therefore the standing wave ratio is high at the input port. 14 18 2.... more loss is due to reflections; therefore the standing wave ratio is high at the input port. 14 18 2. S. R. Seshadri, "Cylindrical Waveguide Mode Convertor for Azimuthally Symmetric Transverse Electric Modes," IEEE Proc., Vol. 135, Pt. H, December 1988, pp. 420-425. Received 12-4-89 Microwave and Optical Technology Letters, 3/3, 95-98 ABSTRACT A solution is given for refection of a plane wuve with TEM polarization from a planar surface with time valying properties. These properties are given in terms of the currents on rhe surface. The solution is obtained by numerically solving u system of differential-delay equations in the time domain.

Applied Optics, 1972

The total number, energy, and angular distribution of backscattered electrons at 200-4000 V incid... more The total number, energy, and angular distribution of backscattered electrons at 200-4000 V incident energy have been measured for clean (111)B GaAs surfaces. From the electron reflection data the modulalation transfer functions for transmission secondary electron emitters are calculated.