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Prof. Dr. Michael Moritz

  • Mathematische Modellierung, Analytische und numerische Methoden
  • Semiklassische Theorie, Streutheorie, Reaktionen kalter Atome
  • Optik-Design / Optik-Rechnung (Abbildende Optik; Therm. Linsen)

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Zeitschriftenartikel

  • Michael Moritz

Distribution of temperature in a single lens due to absorption of light and heat conduction: an adaptive solver

In: Journal of the European Optical Society, Rapid Publications vol. 7 pg. 12028.

  • (2012)

DOI: 10.2971/jeos.2012.12028

We develop an algorithm for the solution of the stationary heat-equation in a single lens due to absorption of light, heat-conduction and transfer of the heat to the environment while we assume rotational symmetry for the whole situation. The proceeding is based on an easy to implement finite difference scheme, which is best suited for rectangular areas. Therefore, we have to transform the heat equation and the boundary conditions from the original domain, i.e. the surface of section of the lens by the aid of tensor methods to a rectangle. So the algorithm generates a grid, which adopts automatically to the actual shape of the lens. In this sense, we characterize the method as adaptive. In the examples, we investigate the effect of a high-transmission glass on the distribution of temperature and further demonstrate the adjustment to a realistic lens shape with a strong deviation from a spherical surface in form of a kink near the edge. We compare the results with a simple model for the distribution of temperature and show the strong dependency of the results on the transmission of the materials.
  • Angewandte Naturwissenschaften und Wirtschaftsingenieurwesen
Zeitschriftenartikel

  • S. Tikal
  • Michael Moritz

Head-up-displays: INOs senken die Kosten

In: Markt & Technik - die unabhängige Wochenzeitung für Elektronik vol. 16

  • (2003)
  • Angewandte Naturwissenschaften und Wirtschaftsingenieurwesen
Zeitschriftenartikel

  • Michael Moritz

Semiclassical methods in the long wave limit

In: American Journal of Physics vol. 70 pg. 663.

  • (2002)

DOI: 10.1119/1.1484147

  • Angewandte Naturwissenschaften und Wirtschaftsingenieurwesen
Zeitschriftenartikel

  • Michael Moritz
  • C. Eltschka
  • H. Friedrich

Near-threshold quantization and level densities for potential wells with weak inverse-square tails

In: Physical Review A - atomic, molecular and optical physics vol. 64 pg. 022101.

  • (2001)

DOI: 10.1103/PhysRevA.64.022101

For potential tails consisting of an inverse-square term and an additional attractive 1/rm term, V(r)∼[ħ2/(2M)][(γ/r2)-(βm-2/rm)], we derive the near-threshold quantization rule n=n(E) which is related to the level density via ρ=dn/dE. For a weak inverse-square term, -14<γ<34 (and m>2), the leading contributions to n(E) are n=E→0A-B(-E)γ+1/4√, so ρ has a singular contribution proportional to (-E)γ+1/4√-1 near threshold. The constant B in the near-threshold quantization rule also determines the strength of the leading contribution to the transmission probability through the potential tail at small positive energies. For γ=0 we recover results derived previously for potential tails falling off faster than 1/r2. The weak inverse-square tails bridge the gap between the more strongly repulsive tails, γ>~3/4, where n(E)=E→0A+O(E) and ρ remains finite at threshold, and the strongly attractive tails, γ<-1/4, where n=E→0Bln(-E/A), which corresponds to an infinite dipole series of bound states and connects to the behavior n=E→0A+BE(1/2)-(1/m), describing infinite Rydberg-like series in potentials with longer-ranged attractive tails falling off as 1/rm, 02) we obtain n(E)=E→0A+C/ln(-E/B), which remains finite at threshold.
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Beitrag (Sammelband oder Tagungsband)

  • H. Friedrich
  • Michael Moritz
  • C. Eltschka

Near-Threshold Quantization and the Semiclassical Limit . Sitzung Q14.3

  • (2001)
  • Angewandte Naturwissenschaften und Wirtschaftsingenieurwesen
Zeitschriftenartikel

  • C. Eltschka
  • H. Friedrich
  • Michael Moritz

Comment on “Breakdown of Bohr's Correspondence Principle”

In: Physical Review Letters - moving physics forward vol. 86 pg. 2693.

  • (2001)

DOI: 10.1103/PhysRevLett.86.2693

  • Angewandte Naturwissenschaften und Wirtschaftsingenieurwesen
Zeitschriftenartikel

  • Michael Moritz

Tunneling and reflection of long waves

In: Physical Review A - atomic, molecular and optical physics vol. 60 pg. 832.

  • (1999)

DOI: 10.1103/PhysRevA.60.832

We investigate tunneling through a barrier and reflection over a step potential in the limit of long waves, i.e., near the base of the barrier, or for barriers with a small action integral over the forbidden region, and at the top of the ramp where the usual semiclassical approximation breaks down systematically. General approximations of the probability of transmission and reflection are given and compared to competing ones showing that the present approach based on the comparison method can give far better results.
  • Angewandte Naturwissenschaften und Wirtschaftsingenieurwesen
Beitrag (Sammelband oder Tagungsband)

  • Michael Moritz

Klassisch verbotene Transmission . A14.26

  • (1999)
  • Angewandte Naturwissenschaften und Wirtschaftsingenieurwesen
Zeitschriftenartikel

  • Michael Moritz
  • H. Friedrich

Scattering by a Coulomb field in two dimensions

In: American Journal of Physics vol. 66 pg. 274.

  • (1998)

DOI: 10.1119/1.18866

  • Angewandte Naturwissenschaften und Wirtschaftsingenieurwesen