Accession No.: 87-37  
PROCESSING RECORD  
SCRIPPS INSTITUTION OF OCEANOGRAPHY ARCHIVES  
Preisendorfer, Rudolph William 1927-1986  
Rudolph William Preisendorfer Papers, 1950-1966  
Physical Description: 7 rcc  
Description: Papers of mathematician Rudolph Preisendorfer, a  
researcher at the Visibility Laboratory. Subjects include hydrological and  
environmental optics, radiative transfer theory, irradiance, light fields,  
invariance, toroidal plasmas, and the Visibility Lab.  
Rudolph William Preisendorfer  
Papers, 1950-1966  
Accession Number: 87-37  
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Folder Title  
1
Notebook I, Summer 1950  
Notebook II, Summer 1951  
Ideas on the Treatment of Contrast Reduction by Shimmer in the  
Atmosphere, 1950  
Interreflection Calculations, Summer 1953  
Photometry, Hydrological and Atmospheric Optics Lectures, Fall 1953  
Transient Radiant Flux, February 1954  
The Specific Calculation of the Path Function at a Point in the Atmosphere,  
Summer 1954  
Computations for 2F(n, x), June 21, 1954  
An Exact Evaluation of the Reflectance of a Flat Surface for a Radiance  
Distribution of the Form N(k, /2) (1 + cosO), August 18, 1954  
A New Method for the Determination of the Volume Scattering Function in  
Environmental Optics, September 20, 1954  
Lectures on Radiometry and (General Environmental) Geophysical Optics,  
Fall 1954  
Primary Scalar Irradiance of a Completely Homogenous Half Space,  
October 6, 1954  
Scattering and Absorption Functions for Environmental (Geophysical)  
Optics, November 1, 1954  
Scattering and Absorption Functions for Environmental Optics, November  
1, 1954  
Notes on Transient Radiant Energy, Fall 1954  
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Folder Title  
1
Unification of the Analytic Concepts of Reflectance and Scattering  
Phenomenological Level, Fall  
1954  
Determining the Volume Scattering Function in Optical Media in the  
Presence of Emission Processes, Spring 1955  
Outline of Reflecting-Sphere Problem, Summer 1955  
Detection of Shadows in a Luminance Field, Fall 1955  
Derivation of Irradiance on Integrating Sphere Walls when Integrating  
Sphere is Filled with a Diffusing Material, Illuminated by Collimated  
Monochromatic Light, Fall 1955  
Important Reprints for Thesis Work  
Ph.D. Work: Formalities, September 1953  
Ph.D. Thesis, Notebook 1, Summer 1954-Spring 1955  
Tables of Snell's Law, February 25, 1955  
Ph.D. Thesis, Notebook 2, Spring 1955  
Ph.D. Thesis, Notebook 4, Spring 1956  
Four Papers on the Mathematical Foundations of Radiative Transfer Theory  
(Expository Papers), Summer-Fall 1956  
2
Ph.D. Thesis, Notebook 5 (Scraps), Spring 1956  
Ph.D. Thesis, Notebook 3, Summer-Fall 1955  
Thesis Manuscript (First Draft), April (1-10) 1956  
A Mathematical Foundation for Radiative Transfer Theory, First Draft,  
Ph.D. Thesis, May 1956  
Four Papers on the Mathematical Foundations of Radiative Transfer Theory  
(Expository Papers), Summer-Fall 1956  
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Folder Title  
2
(2)  
A Mathematical Foundation for Radiative Transfer Theory, Ph.D. Thesis,  
May 1956  
2
A Mathematical Foundation for Radiative Transfer Theory (Expository  
Paper), Manuscript, May 1956  
Geophysical Optics Notation, July 1956  
Manuscripts for the Exact Reflectance Formula for r(m,k), May 20, 1957  
The Planetary Hydrosphere Problem, I. General Principles, June 1, 1957  
A Model for Radiance Distributions in Natural Hydrosols, Manuscript, July  
1957  
The Divergence of the Light Field in Optical Media, Manuscript, July 1957  
Unified Irradiance Equations, Manuscript, August 1957  
[Untitled Notebook]  
(5)  
Radiative Transfer Axioms, October 16, 1957  
Time-Dependent Principles of Invariance, November 15, 1957  
Invariant Imbedding Relation for the Principles of Invariance, October 16,  
1957  
Functional Relations for the R and T Operators on Plane-Parallel Media,  
November 8, 1957  
On the Simulation of Some Optical Properties of the Sea Surface by Arrays  
of Ergodic Cups, January 16,  
1958  
A General Theory of Perturbed Light Fields, with Applications to Forward  
Scattering Effects in Beam Transmittance Measurements, April 1958  
On the Radiant Density Field Produced by Searchlights in Scattering  
Media, I. Theoretical Analysis, March 13, 1958  
Canonical Forms of the Equation of Transfer, April 1958  
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Folder Title  
2
The K-Method of Determining the Path Function, May 1958  
Light Vector Associated with Standard Ellipsoidal Radiance Distribution,  
June 1958  
Directly Observable Quantities for Light Fields in Natural Hydrosols, June  
1, 1958  
3
On the Existence of Characteristic Diffuse Light in Natural Waters, August  
8, 1958  
A Proof of the Asymptotic Radiance Hypothesis, August 1, 1958  
Some Mathematical Aspects of Geophysical Optics Concepts, August 7, 1958  
Some Practical Consequences of the Asymptotic Radiance Hypothesis,  
September 1, 1958  
The Measurement of Light in Natural Waters, Radiometric Concepts and  
Optical Properties, with John E. Tyler, October 15, 1958  
Photo Field Theory for Natural Hydrosols, September 10, 1958  
The Contrast Transmittance Distribution as a Possible Tool in Visibility  
Calculations, with James L. Harris, October 1, 1958  
Simple Formulas for the Volume Absorption Coefficient in Asymptotic  
Light Fields, with W. H. Richardson, November 21, 1958  
Theory of Attenuation Measurements in Planetary Atmospheres, November  
24, 1958  
Diffusion Theory Calculations, December 1958  
On the Structure of the Light Field at Shallow Depths in Deep Homogenous  
Hydrosols, February 9, 1959  
Statement of Purpose, Status, and Future Plans of the Theoretical Program  
of the Visibility Laboratory, February 16, 1959  
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3
Temporal Metric Spaces in Radiative Transfer Theory  
I. Temporal Semimetrics, March 1959  
II. Epoch Times and Characteristic Functions, March 1959  
III. Characteristic Spheroids and Ellipsoids, March 1959  
IV. Temporal Diameters, March 1959  
V. Local Temporal Diameters, March 1959  
A Study of Light-Storage Phenomena in Scattering Media, March 1959  
On Ground-Based Measurements of the Optical Properties of the  
Atmosphere Aloft, March 1959  
Radiance Bounds, March 1959  
The Universal Radiative Transport Equation, March 1959  
Notes on Derivation of Transfer Equation from Maxwell Theory, April  
1959  
Greens Function for Irradiance on a Discrete Space, June 1959  
Discrete Formulation of Cauchy-Riemann Equation, Some Consequences,  
June 1959  
On the Direct Measurement of the Total Scattering Function, July 1959  
The Covariation of the Diffuse Attenuation and Distribution Functions in  
Plane Parallel Media, July 1959  
Radiative Transfer on Discrete Spaces, August 1959  
Principles of Invariance on Discrete Spaces, August 1959  
Radiative Transfer on a Linear Lattice, November 1959  
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Folder Title  
3
On the Structure of the Light Field at Shallow Depths in Deep Homogenous  
Hydrosols, November 1959  
Theory of Polarized Light Fields in Discrete Spaces, November 1959  
Notes on Attenuation Function and Light Field Models, November 1959  
Radiative Transfer on a Cubic Lattice, December 1959  
4
Plane-Source Generated Light Fields in Discrete Spaces, December 1959  
Two Fundamental Methods of Solving Point-Source Problems in  
Discrete-Space Radiative Transfer Theory, December 1959  
Markov Chains and Radiative Transfer, December 1959  
General Analytical Representations of the Observable Reflectance  
Function, November 1959  
The Axiomatic Basis of the Principles of Radiative Transfer Theory,  
December 1959  
The Principles of Invariance for Directly Observable Irradiances in  
Plane-Parallel Media, December 1959  
Formulation of the Irradiance Transport Equations for Numerical Analog  
Solution Procedures, December  
1959  
Recurrence-Partitions of Finite Measure Spaces with Applications to  
Ergodic Theory, with Roos, April 1960  
The General Contrast Transmittance Equation in Terms of Apparent and  
Inherent Optical Properties, June 1960  
Application of Radiative Transfer Theory to Light Measurements in the  
Sea, I.A.P.O. Conference in Helsinki, August 4, 1960  
Differential Equation Governing Pressure Curves in Toroidal Plasma, May  
1960  
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Folder Title  
4
Geometry of p-curves in Toroidal Plasmas, June 1960  
Geometry of Nested Toroidal Pressure Surfaces in Equilibrium Plasmas,  
June 1960  
Differential Geometry of Nested Toroidal Pressure Surfaces in Equilibrium  
Plasmas, July 25, 1960  
A Solution of the Extension Problem for Magnetic Fields in Equilibrium  
Toroidal Plasmas, July 26,  
1960  
Hamiltonian Form of the Neutron Transport Equations in Plane-Parallel  
Media, September 1960  
Generalized Invariant Imbedding Relation, October 1960  
Spatial Semi-Groups in Neutron Transport Theory, October 6, 1960  
(2)  
Recommendations on the Standardization of Concepts, Terminology, and  
Notation of Hydrologic Optics, November 21, 1960  
Equation of Motion of Translating Pin-Joined Frames Subject to an  
Arbitrary Set of External Faces and Internal Restraints, January 5, 1960  
A Function-Theoretic Approach to Abstract Vector Space Theory, January  
25, 1961  
A Note on the Proof of the Schroder-Bernstein Theorem, February 1961  
On the Best Fit to Experimental Curves Using Homogenous  
Two-Parameter Functions, March 16, 1961  
Relaxation Schema for a Toroidal Pinch, I. Point Blank Scheme, April 1961  
Lectures on Sets, Relations, and Number Systems, First Draft, Fall 1961  
5
Mathematical Basis for the Automated Machining of Space Curves, May  
15, 1961  
Irradiance on a Flat Collector High Above the Earth, March 1, 1962  
Sea State Estimates from Satellite Observations, September 25, 1962  
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5
Variable Rod-Acre Diffusion, Preliminary, March 15, 1960  
Electron Geen Problem, January 7, 1960  
Generalized Recursion Formulas for Appels' Integrals, April 4, 1961  
Limits of Bessel Functions, January 8, 1960  
Project 32.41, February 15, 1960  
Kralls Problem II  
Simultaneous First Order Differential Equations, January 5, 1960  
Gerjog's Problem: No Complex Roots  
Roots of F Determinant  
Temperature-Heat Flow Equations, Durstenfele  
Kralls Problem I  
Lectures on Mathematical Logic, Spring 1962  
Operator Formulation of the Optical Ringing Problem, Rough Drafts,  
October 1962  
Radiative Transfer on Discrete Spaces, Chapter V-X, Final Draft  
Comments on Draft Chapters to an Introduction to Invariant Imbedding,  
Richard Bellman, March 11, 1966  
Dave Mac Adam Borrowed Material  
Oceanography Course 220, Topics in Advanced Math Analysis, Outline  
and Summary Sheets, Fall 1964  
Time Dependent Second Order Radiance Laser-Type Source, June 1965  
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Folder Title  
Principles of Hydrologic Optics  
Chapter 2, Scratch  
5
Chapter 1  
Chapter 2, Handwritten Manuscript  
Chapter 2, Typed Manuscript  
Chapter 3, Handwritten Manuscript  
Chapter 3, Scratch  
6
Chapter 4, Handwritten Manuscript  
Chapter 5, Handwritten Manuscript  
Chapter 6, Handwritten Manuscript  
Chapter 7, Handwritten Draft  
Chapter 7, Preliminary Notes  
Chapter 8, Handwritten Manuscript  
Chapter 9, Handwritten Manuscript  
Chapter 10, Handwritten Manuscript  
Chapter 11, Handwritten Manuscript  
Chapter 12, Handwritten Manuscript  
Chapter 13, Handwritten Copy  
Radiative Transfer on Discrete Spaces  
Chapter I-IV, Final Draft  
Chapter XI-XVI, Final Draft  
7
Lectures on Photometry, Hydrological Optics, Atmospheric  
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7
Optics, Volume I, Fall 1953  
Seven Keystones of the Calculus, 1964  
Lectures on Harmonic Analysis, Fall-Winter, 1966-1967  
Introduction to Fast Fourier Transforms, Spring 1967  
Integral Transforms and Group Theory, Spring 1968