Abstract
Phototropism can be defined as a change of the direction of growth of certain plants as caused by unilateral stimuli of light. Most organisms exhibiting phototropism are of a cylindrical form. The change in the direction of growth is coupled to differential growth within the plant organ caused by an asymmetric distribution of photon fluxes within the cylindrical organism.
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Abbreviations
- Xw(φ), yw(φ):
-
parameter representation for the wavefronts
- Xc(φ), yc(φ):
-
parameter representation for the caustic
- Φ:
-
azimuth of intersection incident ray/cylinder
- ℱ:
-
field of refracted rays given in an implicit form
- γi, γo :
-
angle of incidence and refraction, respectively
- χ:
-
angle enclosed by refracted rays and x-axis
- S:
-
parameter determining a specific wavefront
- Θ(φ):
-
azimuth of intersection refracted ray/cylinder in the image plane
- δ:
-
without argument: phaseshift
- A :
-
transmissivity
- K(φ):
-
expansion coefficient for a bundle of rays
- κw(φ):
-
curvature of the wavefronts
- ϱ(φ):
-
radius of curvature of the caustic
- Θ:
-
Airy function
- f(φ):
-
focusing factor
- μ:
-
angle enclosed of \(\vec E\)-vector of light and plane of incidence
- Ic, Id :
-
coherent and diffuse intensity, respectively
- Uċ, Ud :
-
average coherent and average diffuse intensity, respectively
- F⃗:
-
diffuse flux vector
- G :
-
Greens’ function
- Im, Km :
-
modified Bessel functions of integer order
- E:
-
energy absorbed by a photoreceptor
- R:
-
Response of a biological system
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© 1991 Springer-Verlag Berlin Heidelberg
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Steinhardt, A.R. (1991). Photon Transport in Phototropic Organisms. In: Myneni, R.B., Ross, J. (eds) Photon-Vegetation Interactions. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-75389-3_10
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DOI: https://doi.org/10.1007/978-3-642-75389-3_10
Publisher Name: Springer, Berlin, Heidelberg
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