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  1. M. Sussman, J. Opt. Soc. Am. 48, 275 (1958).
    [Crossref]
  2. A. E. Taylor, Advanced Calculus (Ginn and Company, Boston, 1955), p. 380.

1958 (1)

Sussman, M.

Taylor, A. E.

A. E. Taylor, Advanced Calculus (Ginn and Company, Boston, 1955), p. 380.

J. Opt. Soc. Am. (1)

Other (1)

A. E. Taylor, Advanced Calculus (Ginn and Company, Boston, 1955), p. 380.

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Figures (1)

Fig. 1
Fig. 1

Surface of revolution illustrating the angular dependence.

Equations (8)

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d I = ( E / π ) cos θ t cos θ s d S ,
I = E / π [ ( n · r 1 ) ( n · r 2 ) / ( n · p ) ] .
f ( x , y , z ) = ( x 2 + y 2 ) / b 2 + z 2 / a 2 - 1 ,
r 1 = sin ϕ s cos ψ i + sin ϕ s sin ψ j + cos ϕ s k , r 2 = sin ϕ t cos ψ 1 i + sin ϕ t sin ψ 1 j + cos ϕ t k , p = ( 1 / r ) ( x i + y j + z k ) .
I = E π [ a 4 sin ϕ s sin ϕ t sin 2 θ cos ϕ cos ( ϕ - ) a 4 sin 2 θ + b 4 cos 2 θ sec γ d A + b 4 cos ϕ s cos ϕ t cos 2 θ a 4 sin 2 θ + b 4 cos 2 θ sec γ d A + a 2 b 2 sin ϕ s cos ϕ t sin θ cos θ cos ϕ a 4 sin 2 θ + b 4 cos 2 θ sec γ d A + a 2 b 2 cos ϕ s sin ϕ t sin θ cos θ cos ( ϕ - ) a 4 sin 2 θ + b 4 cos 2 θ sec γ d A ] ,
I = E a 2 π sin 3 θ cos ϕ ccs ( ϕ - β ) d θ d ϕ = 2 E a 2 3 π [ ( π - β ) cos β + sin β ] .
I E b π sin ϕ s sin ϕ t cos ϕ cos ( ϕ - ) d ϕ d z = E a b 2 π sin ϕ s sin ϕ t [ ( π - ) cos + sin ] .
I E π cos ϕ s cos ϕ t d x d y = E b 2 cos ϕ s cos ϕ t .