Closed-Form representations for Third-Order aberrations of Two-Aspherical mirror aplanats with the mirror tilt and decenter

Mitsunori Toyoda

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

Approximate equations are derived for imaging aberrations of two-aspherical-mirror aplanats for soft X-ray imaging. These expressions include the Seidel terms for unperturbed states and the axial coma resulting from the tilt and decenter of the mirror surface. A simple analytical method for reducing both the Seidel terms and the axial coma enables us to design novel soft X-ray imaging systems utilizing a wide field of view with reduced sensitivity to mirror misalignments. The method is illustrated by applying it to a two-mirror system for soft X-ray microscopy with a magnification m =-1/50. The design example showed an appreciable reduction in sensitivity, as compared with the existing anastigmatic designs that include a standard Schwarzschild configuration. Imaging aberrations of the novel system are also confirmed by a numerical ray tracing method.

Original languageEnglish
Pages (from-to)441-447
Number of pages7
JournalOptical Review
Volume18
Issue number6
DOIs
Publication statusPublished - 2011 Nov 1

Keywords

  • aplanat
  • aspherical mirror
  • axial coma
  • microscopy
  • misalignment
  • soft X-ray

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

Fingerprint Dive into the research topics of 'Closed-Form representations for Third-Order aberrations of Two-Aspherical mirror aplanats with the mirror tilt and decenter'. Together they form a unique fingerprint.

Cite this