Influence of Bottom Depth and Albedo on the Diffuse Reflectance of a Flat Homogeneous Ocean

Howard R. Gordon; Otis B. Brown

doi:10.1364/AO.13.002153

Applied Optics
Vol. 13,
Issue 9,
pp. 2153-2159
(1974)
•https://doi.org/10.1364/AO.13.002153

Influence of Bottom Depth and Albedo on the Diffuse Reflectance of a Flat Homogeneous Ocean

Howard R. Gordon and Otis B. Brown

Not Accessible

Your library or personal account may give you access

Get PDF
Email
Share
Get Citation
Copy Citation Text
Howard R. Gordon and Otis B. Brown, "Influence of Bottom Depth and Albedo on the Diffuse Reflectance of a Flat Homogeneous Ocean," Appl. Opt. 13, 2153-2159 (1974)

Export Citation
- BibTex
- Endnote (RIS)
- HTML
- Plain Text
Citation alert
Save article

Abstract

The influence of the bottom albedo on the diffuse reflectance of a flat, homogeneous ocean is computed as a function of bottom depth and albedo for three oceanic scattering phase functions and several values of ω₀. The results show that the bottom can have a large effect on the reflectivity, especially for small optical depths. When combined with the observed optical properties of clear natural water, the calculations are shown to be in good agreement with the observed dependence of in-water nadir radiance spectra, with depth. The apparent independence of the reflectance on the mode of illumination observed earlier for the infinitely deep ocean is found to be invalid for a shallow ocean. The effect of departures of the bottom law of diffuse reflectance from Lambertian is investigated and shown to be considerable in some cases.

Full Article | PDF Article

More Like This

Computed Relationships Between the Inherent and Apparent Optical Properties of a Flat Homogeneous Ocean

Howard R. Gordon, Otis B. Brown, and Michael M. Jacobs
Appl. Opt. 14(2) 417-427 (1975)

Diffuse reflectance of oceanic waters. II. Bidirectional aspects

André Morel and Bernard Gentili
Appl. Opt. 32(33) 6864-6879 (1993)

Algorithms for ocean-bottom albedo determination from in-water natural-light measurements

Robert A. Leathers and Norman J. McCormick
Appl. Opt. 38(15) 3199-3205 (1999)

Previous Article Next Article

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Figures (6)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Tables (4)

You do not have subscription access to this journal. Article tables are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Equations (17)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

τ_B	ω₀
τ_B	0.2	0.5	0.8	0.95
1	0.946 – 3	0.303 – 2	0.651 – 2	0.977 – 2
	0.995 – 1	0.174 – 0	0.317 – 0	0.436 – 0
	0.248 – 1	0.855 – 1	0.277 – 0	0.397 – 0
	0.224 – 0	0.293 – 0	0.397 – 0	0.466 – 0
2	0.111 – 2	0.401 – 2	0.112 – 1	0.201 – 1
	0.184 – 1	0.553 – 1	0.187 – 0	0.368 – 0
	0.661 – 2	0.282 – 1	0.123 – 0	0.330 – 0
	0.934 – 1	0.152 – 0	0.298 – 0	0.426 – 0
3	0.114 – 2	0.430 – 2	0.139 – 1	0.292 – 1
	0.335 – 2	0.169 – 1	0.106 – 0	0.303 – 0
	0.313 – 2	0.159 – 1	0.834 – 1	0.290 – 0
	0.389 – 1	0.849 – 1	0.218 – 0	0.382 – 0
4	0.115 – 2	0.433 – 2	0.154 – 1	0.381 – 1
	0.592 – 3	0.512 – 2	0.604 – 1	0.245 – 0
	0.314 – 2	0.129 – 1	0.667 – 1	0.260 – 0
	0.159 – 1	0.451 – 1	0.162 – 0	0.340 – 0

τ_B	ω₀
τ_B	0.2	0.5	0.8	0.95
1	0.200 – 2	0.651 – 2	0.148 – 1	0.216 – 1
	0.980 – 1	0.168 – 0	0.303 – 0	0.423 – 1
	0.263 – 1	0.895 – 1	0.236 – 0	0.406 – 0
	0.222 – 0	0.287 – 0	0.385 – 0	0.460 – 0
2	0.236 – 2	0.875 – 2	0.240 – 1	0.416 – 1
	0.178 – 1	0.513 – 1	0.169 – 0	0.340 – 0
	0.885 – 2	0.360 – 1	0.141 – 0	0.347 – 0
	0.922 – 1	0.154 – 0	0.282 – 0	0.409 – 0
3	0.241 – 2	0.936 – 2	0.287 – 1	0.604 – 1
	0.320 – 2	0.150 – 1	0.904 – 1	0.264 – 0
	0.561 – 2	0.246 – 1	0.106 – 0	0.318 – 0
	0.383 – 1	0.799 – 1	0.201 – 0	0.357 – 0
4	0.238 – 2	0.960 – 2	0.320 – 1	0.765 – 1
	0.574 – 3	0.444 – 2	0.469 – 1	0.204 – 0
	0.584 – 2	0.226 – 1	0.942 – 1	0.296 – 0
	0.160 – 1	0.213 – 1	0.141 – 0	0.312 – 0

τ_B	ω₀
τ_B	0.2	0.5	0.8	0.95
1	0.298 – 2	0.964 – 2	0.214 – 1	0.317 – 1
	0.967 – 1	0.163 – 0	0.293 – 0	0.410 – 0
	0.275 – 1	0.933 – 1	0.242 – 0	0.411 – 0
	0.220 – 0	0.284 – 0	0.380 – 0	0.453 – 0
2	0.346 – 2	0.128 – 1	0.343 – 1	0.622 – 1
	0.174 – 1	0.483 – 1	0.155 – 0	0.316 – 0
	0.106 – 1	0.424 – 1	0.154 – 0	0.367 – 0
	0.915 – 1	0.150 – 0	0.271 – 0	0.393 – 0
3	0.354 – 2	0.136 – 1	0.408 – 1	0.862 – 1
	0.307 – 2	0.136 – 1	0.791 – 1	0.236 – 0
	0.770 – 2	0.332 – 1	0.127 – 0	0.339 – 0
	0.376 – 1	0.761 – 1	0.188 – 0	0.337 – 0
4	0.358 – 2	0.138 – 1	0.442 – 1	0.106 – 0
	0.541 – 3	0.379 – 2	0.396 – 1	0.175 – 0
	0.770 – 2	0.309 – 1	0.116 – 0	0.333 – 0
	0.155 – 1	0.388 – 1	0.130 – 0	0.289 – 0

λ (nm)	Phase function	c (m⁻¹)	ω₀
460	C	0.08	0.55
540	B	0.10	0.35

τ_B	ω₀
τ_B	0.2	0.5	0.8	0.95
1	0.946 – 3	0.303 – 2	0.651 – 2	0.977 – 2
	0.995 – 1	0.174 – 0	0.317 – 0	0.436 – 0
	0.248 – 1	0.855 – 1	0.277 – 0	0.397 – 0
	0.224 – 0	0.293 – 0	0.397 – 0	0.466 – 0
2	0.111 – 2	0.401 – 2	0.112 – 1	0.201 – 1
	0.184 – 1	0.553 – 1	0.187 – 0	0.368 – 0
	0.661 – 2	0.282 – 1	0.123 – 0	0.330 – 0
	0.934 – 1	0.152 – 0	0.298 – 0	0.426 – 0
3	0.114 – 2	0.430 – 2	0.139 – 1	0.292 – 1
	0.335 – 2	0.169 – 1	0.106 – 0	0.303 – 0
	0.313 – 2	0.159 – 1	0.834 – 1	0.290 – 0
	0.389 – 1	0.849 – 1	0.218 – 0	0.382 – 0
4	0.115 – 2	0.433 – 2	0.154 – 1	0.381 – 1
	0.592 – 3	0.512 – 2	0.604 – 1	0.245 – 0
	0.314 – 2	0.129 – 1	0.667 – 1	0.260 – 0
	0.159 – 1	0.451 – 1	0.162 – 0	0.340 – 0

Abstract

Cited By

Figures (6)

Tables (4)

Equations (17)

Applied Optics