Invariant integral and statistical equations of paraxial light beam transmission in free space

Ximing Deng; Hong Guo; Qing Cao

doi:10.1007/bf02896964

Invariant integral and statistical equations of paraxial light beam transmission in free space

Science in China Series A Mathematics ◽

10.1007/bf02896964 ◽

1997 ◽

Vol 40 (5) ◽

pp. 546-554 ◽

Cited By ~ 1

Author(s):

Ximing Deng ◽

Hong Guo ◽

Qing Cao

Keyword(s):

Light Beam ◽

Free Space ◽

Invariant Integral ◽

Beam Transmission

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Geometrical study of paraxial light beam transmission in free space

Science in China Series A Mathematics ◽

10.1007/bf02876069 ◽

1997 ◽

Vol 40 (6) ◽

pp. 644-651

Author(s):

Hong Guo ◽

Ximing Deng ◽

Qing Cao

Keyword(s):

Light Beam ◽

Free Space ◽

Beam Transmission

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Spinor solutions to Maxwell's equations in free space

Canadian Journal of Physics ◽

10.1139/p84-092 ◽

1984 ◽

Vol 62 (7) ◽

pp. 674-682 ◽

Cited By ~ 3

Author(s):

P. Hillion ◽

S. Quinnez

Keyword(s):

Parabolic Equation ◽

Light Beam ◽

Free Space ◽

Maxwell’S Equations ◽

Maxwell's Equations ◽

Hankel Transform ◽

Cylindrical Symmetry ◽

Paraxial Approximation ◽

Gaussian Beams

Using the Hankel transform, we obtain, in their most general form, the spinor solutions of Maxwell's equations in free space for a light beam propagating along 0z with cylindrical symmetry around 0z. Then we compute a paraxial approximation of these solutions and we discuss the case of Gaussian beams. A comparison of the spinor solutions with the scalar ones supplied by the parabolic equation is also given.

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Interrelationship between in vivo Fluorescence of Phytoplankton and Light Beam Transmission with Reference to Fluorescence Yield

Canadian Journal of Fisheries and Aquatic Sciences ◽

10.1139/f88-179 ◽

1988 ◽

Vol 45 (9) ◽

pp. 1508-1513 ◽

Cited By ~ 1

Author(s):

Thierry Vandevelde ◽

Louis Legendre ◽

Serge Demers ◽

Jean-Claude Therriault

Keyword(s):

Light Beam ◽

Major Change ◽

Fluorescence Yield ◽

Lawrence Estuary ◽

Anchor Station ◽

In Vivo Fluorescence ◽

Linear Relationships ◽

Beam Transmission ◽

St Lawrence Estuary

In vivo fluorescence and light beam transmission were simultaneously recorded during two cruises in the St. Lawrence estuary. Marked differences in the relationship between light beam attenuation (c(660)) and in vivo fluorescence (IVF) were observed (1) along a short transect and (2) between surface (<5 m) and underlying waters (5–15 m) for a series of vertical profiles at an anchor station. In both cases, the observed differences were related to changes in fluorescence yield. At the anchor station, however, several other factors could also have affected the c(660)–IVF relationship. Below 5 m, tight linear relationships between c(660) and IVF indicate that no major change took place in either fluorescence yield or the concentration of chlorophyll per cell. In such a case, the two measurements provide consistent estimates of phytoplankton biomass.

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