Léonard Lewin

Léonard Lewin's AcademicInfluence.com Rankings

Léonard Lewin

Mathematics

#5860

World Rank

#8210

Historical Rank

Number Theory

#161

World Rank

#211

Historical Rank

Measure Theory

#981

World Rank

#1275

Historical Rank

mathematics Degrees

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Mathematics

Léonard Lewin's Degrees

PhD Mathematics University of California, Berkeley

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Léonard Lewin's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Polylogarithms and Associated Functions (1981) (1318)
Dilogarithms and associated functions (1959) (436)
ALE formulation for fluid–structure interaction problems (2000) (325)
The electrical constants of a material loaded with spherical particles (1947) (246)
Advanced theory of waveguides (1951) (179)
Structural Properties of Polylogarithms (1991) (164)
Theory of waveguides: Techniques for the solution of waveguide problems (1975) (110)
Radiation from discontinuities in strip-line (1960) (91)
Electromagnetic waves and curved structures (1977) (91)
Radiation from Curved Dielectric Slabs and Fibers (1974) (76)
A Method for the Calculation of the Radiation-Pattern and Mode-Conversion Properties of a Solid-State Heterojunction Laser (1975) (58)
On the Inadequacy of Discrete Mode-Matching Techniques in Some Waveguide Discontinuity Problems (1970) (57)
Spurious radiation from microstrip (1978) (53)
A contribution to the theory of probes in waveguides (1958) (48)
On the Restricted Validity of Point-Matching Techniques (1970) (37)
On the Resolution of a Class of Waveguide Discontinuity Problems by the Use of Singular Integral Equations (1961) (30)
A Sixteenth-order Polylogarithm Ladder (1992) (27)
A Method of Avoiding the Edge Current Divergence in Perturbation Loss Calculations (Short Paper) (1984) (25)
Propagation in curved and twisted waveguides of rectangular cross-section (1955) (24)
Obliquity‐factor correction to solid‐state radiation patterns (1975) (24)
Propagation in Twisted Square Waveguide (1980) (21)
Radiation from Microstrip Discontinuities (1979) (21)
A contribution to the theory of cylindrical antennas--Radiation between parallel plates (1959) (20)
Design of microwave filters with quarter-wave couplings (1956) (19)
On the Problem of Sustained Resonance (1978) (18)
The dilogarithm in algebraic fields (1982) (18)
Some observations on waveguide coupling through medium-sized slots (1960) (17)
Diversity reception and automatic phase correction (1962) (16)
Diffraction by a Dielectric Wedge. (1979) (16)
Theory and Application of Coupling Between Curved Transmission Lines (1982) (16)
Obliquity factor for radiation from solid-state laser (1974) (16)
The inner structure of the dilogarithm in algebraic fields (1984) (15)
2763. On the evaluation of log-sine integrals (1958) (14)
The polylogarithm in algebraic number fields (1985) (12)
Coupling of Degenerate Modes on Curved Dielectric Slab Sections and Application to Directional Couplers (1980) (9)
A Decoupled Formulation of the Vector Wave Equation in Orthogonal Curvilinear Coordinates, with Application to Ferrite-Filled and Curved Waveguides of General Cross Section (1972) (8)
The order-independence of the polylogarithmic ladder structure—implications for a new category of functional equations (1985) (8)
On the Definitions of Parameters in Ferrite-Electromagnetic Wave Interactions (Letters) (1973) (8)
The near field of a locally illuminated diffracting edge (1971) (7)
The Effect of Cross-Section Curvature on Attenuation in Elliptic Waveguides and a Basic Correction to Previous Formulas (1974) (7)
Erratum: Solution of a singular integral equation over a multiple interval and applications to multiple strips, grids and waveguide diaphragms (1967) (7)
The E-Plane Taper Junction in Rectangular Waveguide (1979) (6)
Main-reflector-rim diffraction in back direction (1972) (6)
Diffraction of Electromagnetic Waves by an Aperture in a Large Screen (1954) (6)
Polylogarithmic functional equations: A new category of results developed with the help of computer algebra (MACSYMA) (1986) (5)
A resonance absorption isolator in microstrip for 4 Gc/s (1957) (5)
The Solution of Singular Integral Equations over a Multiple Interval and Applications to Multiple Diaphragms in Rectangular Wave Guide (1968) (5)
A ferrite boundary-value problem in a rectangular waveguide (1959) (5)
Theoretical analysis of the junction discontinuity between a straight and a curved section of rectangular waveguide (1977) (4)
Note on an E-Plane Waveguide Step with Simultaneous Change of Media (Short Papers) (1972) (4)
Local form of the radiation condition: application to curved dielectric structures (1973) (4)
Theoretical performance of the overmoded right-angle corner (1969) (4)
Correction to "Radiation from Curved Dielectric Slabs and Fibers" (Letters) (1975) (4)
Polylogarithms in the field of omega (a root of a given cubic): Functional equations and ladders (1988) (4)
Phase measurements through tapered junctions (1959) (3)
The E-Plane Step-Diaphragm Junction Discontinuity (1979) (3)
An Accurate Formula for the Gamma Function (Letters) (1974) (3)
Miniaturization of Microwave Assemblies (1956) (3)
Ranges of Particles emitted by Samarium (1936) (3)
Some miscellaneous results (1991) (3)
Comment: Analytic expression for the frequency response and bandwidth of a spherical random array (1979) (3)
Channel insertion feed (1959) (3)
Spurious Radiation from a Microstrip Y Junction (1978) (3)
Standard mismatch - the production of controlled small reflections in waveguides (1968) (3)
Equivalent circuit of an evanescent-mode inductive element (1969) (2)
A note on the complex Poynting vector and on the fractional current on the upper surface of a microstrip line (1981) (2)
Letter symbols to designate microwave bands (1964) (2)
An asymptotic solution to a problem involving two simultaneous small divisors (1976) (2)
Microwave techniques for communication links (1952) (2)
Polylogarithms in the field of omega (a root of a given cubic): Functional equations and ladders (1987) (2)
UHF radio loss in forest modeled by four layered media with two anisotropic slabs (1986) (2)
Polarisation degeneracy in bent optical fibre (1976) (2)
Note on the Inversion of the Schwarz-Christoffel Conformal Transformation (1971) (2)
Letter Symbols to Designate Microwave Bands (Correspondence) (1964) (2)
Anomalous Loss at a Ferrite Boundary (1972) (2)
Wedge-diffraction functions and their use in quasioptics (1969) (2)
Effect of source pattern on wedge diffraction (1968) (2)
The part played by surface waves on the reflection at a ferrite boundary (1961) (2)
Electromagnetic Radiation from Wave-Guides and Horns (1949) (1)
A Note on the Complex Poynting Vector, and on the Fractional Current on the Upper Surface of a Microstrip Line (1980) (1)
Comment on ``Discontinuity Problem in an Anisotropic Waveguide'' (1971) (1)
The Gentle Art of Non-Teaching. (1969) (1)
The efficiency of a ferrite as a microwave mixer (1959) (1)
Calculation of Waveguide Junction and Diaphragm Interactions (1969) (1)
The polylogarithm in the field of two irreducible quintics (1986) (1)
Supernumary polylogarithmic ladders and related functional equations (1990) (1)
Problems for Solution: 4863-4868 (1959) (1)
Theory of Wave-Guide-Fed Slots Radiating into Parallel Plate Regions (1953) (1)
Field representation in cylindrical co-ordinates (1967) (1)
LETTERS TO THE EDITOR A Physical Interpretation of Impedance for Rectangular Waveguides (1958) (1)
Generation and effect of surface waves at a waveguide-ferrite boundary (1968) (1)
The impedance of unsymmetrical strips in rectangular waveguides (1952) (1)
Some comments on quasi-optical methods at millimetre wavelengths (1960) (1)
A Quasi-Dynamic Method of Solution of a Class of Waveguide Discontinuity Problems (Short Papers) (1972) (1)
Amplifying properties of bulk negative-resistance material (1968) (1)
Theoretical examination of imperfections in the imaging of the output of a solid‐state heterojunction laser (1975) (0)
Theory and Application of Coupling Between Curved Transmission Lines (Correction) (1985) (0)
Stigmatic lenses. (1958) (0)
Contributors, Dec. 1970 (1970) (0)
Attenuation in an elliptic waveguide (1973) (0)
Arrangement with a Lecher line, especially strip line, as isolator (1957) (0)
Ladders in the trans-Kummer region (1991) (0)
Design, Construction and Measurement of a 3 dB Dielectric Directional Coupler (1981) (0)
A note on the Q-factor of microwave resonators (1982) (0)
On "Status Report on International Millimeter Waveguide Flange Standards" (Correspondence) (1964) (0)
The propagation of gaussian beams very near the source (1975) (0)
Reflections from flat sheet and angle reflectors (1948) (0)
EXPLANATORY NOTES ON THE USE OF SINGULAR INTEGRAL EQUATIONS IN THE SOLUTION OF WAVEGUIDE DISCONTINUITY PROBLEMS (1963) (0)
Dielectric Image Line Coupling (1979) (0)
Problems for Solution: 4917-4922 (1960) (0)
On the Inadequacy of Descrete Mode-Matching Techniques in Some Waveguide Discontinuity Problems (Discussion) (1970) (0)
The authors' replies to the discussion on "Diversity reception and automatic phase correction" and "A diversity combiner giving total power transfer" (1962) (0)
The authors' replies to the discussion on the "Symposium of papers on microwave links" (1952) (0)
The authors' replies to the discussion on "Microwave apparatus-I" (1957) (0)
The order-independence of the polylogarithmic ladder structure — implications for a new category of functional equations (1985) (0)
Contributors (Jul. 1961 [T-MTT]) (1961) (0)
The Permittivity and Loss od Fiber-Loaded Materials (1994) (0)
Tried and True (1995) (0)
Interpretation of slimguide operation in terms of propagating (nonevanescent) waves (1971) (0)
The authors' replies to the discussion on "Some comments on the classification of waveguide modes" and "Some comments on quasi-optical methods at millimetre wavelengths" (1960) (0)
Coupling of Degenerate Modes on Curved Dielectric Slab Sections and Application to Directional Couplers (Corrections) (1985) (0)
A note on the effect of waveguide losses on guide wavelength (1962) (0)
Contributors, June 1971 (1971) (0)
Reactance of a symmetrical pair of strips in rectangular waveguide (1964) (0)
Contributors, May 1974 (1974) (0)
Note on signal combination (1964) (0)
Contributors, October, 1969 (1969) (0)
The Gentle Art of Nonteaching: A Four-Point Guide. (1969) (0)
A method for the calculation of properties of wire antennas (1982) (0)
Millimeter Wave Fabry-Perot Interferometer For The Measurement Of The Conductivity Of Thin Films For Solar Cells (1980) (0)
Further results on supernumary polylogarithmic ladders (1993) (0)
Contributors, May 1972 (1972) (0)
Summary of the informal polylogarithm workshop (1991) (0)
A Note on the Double Fresnel Integral (1978) (0)
Stability of bulk negative-resistance material (1969) (0)
The application of antenna theory to the calculation of electric shielding due to metallic reinforcement in a cylindrical shelter (1982) (0)
Angled rectangular waveguide (1952) (0)
The E-Plane Taper Junction in Rectangular (1979) (0)
Some comments on the time-causal characteristics of leaky and surface waves (1976) (0)
Expression for decoupling in multiple-beam antennas (1975) (0)
Rational-fraction approximations and asymptotic series (1968) (0)
A Note on the Double Fresnel Integral (Letters) (1979) (0)
Studies of plasma anisotropy (1982) (0)
Some uses of the Huygens' obliquity factor (1976) (0)
Rayleigh distance in relation to reflection from curved surfaces (1971) (0)
Dielectric Line Coupler Using Only Curved Sections (1981) (0)
On the Resolution of a Class of Waveguide Problems by the Use of Singular Integral (1997) (0)
The Effective Permeability of Iron Dust Particles (1950) (0)
Complementary field component of radiation from a Cassegrain subreflector (1970) (0)
Erratum: Attenuation in an elliptic waveguide (1973) (0)
A note on the formula for loss in a ferrite (1961) (0)
Dielectric Line Coupler (Final Report) (1981) (0)
Winding and joining helical-wound waveguide (1959) (0)
Point Source and Sink in a Parallelepiped (1954) (0)
Measurements in microstrip (introductory lecture) (1962) (0)

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