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## On the Stochastic Burgers Equation and Some Applications to Turbulence and Astrophysics

*A.D. Neate and A. Truman*

### in Analysis and Stochastics of Growth Processes and Interface Models

- Published in print:
- 2008
- Published Online:
- September 2008
- ISBN:
- 9780199239252
- eISBN:
- 9780191716911
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199239252.003.0013
- Subject:
- Mathematics, Probability / Statistics, Analysis

This chapter summarises a selection of results on the inviscid limit of the stochastic Burgers equation emphasising geometric properties of the caustic, Maxwell set and Hamilton-Jacobi level surfaces ... More

## Singular X-ray optics

*David M. Paganin*

### in Coherent X-Ray Optics

- Published in print:
- 2006
- Published Online:
- September 2007
- ISBN:
- 9780198567288
- eISBN:
- 9780191717963
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198567288.003.0005
- Subject:
- Physics, Atomic, Laser, and Optical Physics

This chapter acquaints the reader with the nascent field of singular X-ray optics, dealing with the singularities of X-ray wave fields, particularly phase singularities (phase vortices). The concept ... More

## Intertheoretic Relations—Optics

*Robert W. Batterman*

### in The Devil in the Details: Asymptotic Reasoning in Explanation, Reduction, and Emergence

- Published in print:
- 2001
- Published Online:
- November 2003
- ISBN:
- 9780195146479
- eISBN:
- 9780199833078
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/0195146476.003.0006
- Subject:
- Philosophy, Philosophy of Science

This chapter discusses limiting correspondence relations between the wave theory of light and the ray theory of light. The limit is singular and there is no reductive relation between the theories. ... More

## Introduction

*John A. Adam*

### in Rays, Waves, and Scattering: Topics in Classical Mathematical Physics

- Published in print:
- 2017
- Published Online:
- May 2018
- ISBN:
- 9780691148373
- eISBN:
- 9781400885404
- Item type:
- chapter

- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691148373.003.0001
- Subject:
- Mathematics, Applied Mathematics

This book deals with rays, waves, and scattering and covers many of the mathematical concepts, structures, and techniques used to study them. The subject of rays is explored in an ... More

## Diffraction Catastrophes

*John A. Adam*

### in Rays, Waves, and Scattering: Topics in Classical Mathematical Physics

- Published in print:
- 2017
- Published Online:
- May 2018
- ISBN:
- 9780691148373
- eISBN:
- 9781400885404
- Item type:
- chapter

- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691148373.003.0006
- Subject:
- Mathematics, Applied Mathematics

This chapter discusses the mathematics of diffraction catastrophes, focusing on the wavefront associated with a monochromatic wave with Q(x, y, f (x, y)) as a point on the wavefront surface and P (X, ... More

## The classical S matrix

*M. S. Child*

### in Semiclassical Mechanics with Molecular Applications

- Published in print:
- 2014
- Published Online:
- October 2014
- ISBN:
- 9780199672981
- eISBN:
- 9780191783227
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199672981.003.0010
- Subject:
- Physics, Atomic, Laser, and Optical Physics

The classical S matrix is a natural multidimensional extension of the semiclassical phase shift. It is most naturally interpreted as a contraction of the Feynman path integral propagator, between ... More

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