### Abstract

Many years ago it was pointed out by Holbourn (1936) that there is an apparent breakdown on angular momentum conservation on reflection of circularly polarised light. The author points out that the discrepancy may be resolved by considering transverse positional shifts on reflection as described by Schilling (1965), Imbert (1972) and subsequent authors, and examines the values of the shifts necessary to satisfy angular momentum conservation in various situations. It is found that shifts satisfactory in this respect may be obtained by use of a fairly general phase-shift argument-similar in formalism to that used by Julia and Neveu (1973)-at least for the case of total reflection. However, the situation is less satisfactory for partial reflection, nor is it clear that the shift values, even for the case of total reflection, agree with those measured by Imbert and others, or calculated numerically as by Ashby and Miller (1976) for instance. It is suggested that further experimental work may be useful in clarifying the situation.

Original language | English |
---|---|

Pages (from-to) | 3667-3678 |

Number of pages | 12 |

Journal | Journal of Physics A: Mathematical and General |

Volume | 20 |

Issue number | 12 |

DOIs | |

Publication status | Published - 1 Dec 1987 |

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### ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Mathematical Physics
- Physics and Astronomy(all)

### Cite this

**Angular momentum balance and transverse shifts on reflection of light.** / Player, M. A.

Research output: Contribution to journal › Article

*Journal of Physics A: Mathematical and General*, vol. 20, no. 12, pp. 3667-3678. https://doi.org/10.1088/0305-4470/20/12/020

}

TY - JOUR

T1 - Angular momentum balance and transverse shifts on reflection of light

AU - Player, M. A.

PY - 1987/12/1

Y1 - 1987/12/1

N2 - Many years ago it was pointed out by Holbourn (1936) that there is an apparent breakdown on angular momentum conservation on reflection of circularly polarised light. The author points out that the discrepancy may be resolved by considering transverse positional shifts on reflection as described by Schilling (1965), Imbert (1972) and subsequent authors, and examines the values of the shifts necessary to satisfy angular momentum conservation in various situations. It is found that shifts satisfactory in this respect may be obtained by use of a fairly general phase-shift argument-similar in formalism to that used by Julia and Neveu (1973)-at least for the case of total reflection. However, the situation is less satisfactory for partial reflection, nor is it clear that the shift values, even for the case of total reflection, agree with those measured by Imbert and others, or calculated numerically as by Ashby and Miller (1976) for instance. It is suggested that further experimental work may be useful in clarifying the situation.

AB - Many years ago it was pointed out by Holbourn (1936) that there is an apparent breakdown on angular momentum conservation on reflection of circularly polarised light. The author points out that the discrepancy may be resolved by considering transverse positional shifts on reflection as described by Schilling (1965), Imbert (1972) and subsequent authors, and examines the values of the shifts necessary to satisfy angular momentum conservation in various situations. It is found that shifts satisfactory in this respect may be obtained by use of a fairly general phase-shift argument-similar in formalism to that used by Julia and Neveu (1973)-at least for the case of total reflection. However, the situation is less satisfactory for partial reflection, nor is it clear that the shift values, even for the case of total reflection, agree with those measured by Imbert and others, or calculated numerically as by Ashby and Miller (1976) for instance. It is suggested that further experimental work may be useful in clarifying the situation.

UR - http://www.scopus.com/inward/record.url?scp=0012580249&partnerID=8YFLogxK

U2 - 10.1088/0305-4470/20/12/020

DO - 10.1088/0305-4470/20/12/020

M3 - Article

VL - 20

SP - 3667

EP - 3678

JO - Journal of Physics A: Mathematical and General

JF - Journal of Physics A: Mathematical and General

SN - 0305-4470

IS - 12

ER -