Abstract

Part I of this series reported a procedure for synthesizing birefringent networks having a prescribed amplitude transmittance. The desired transmittance C(ω) was written as C(ω) = C₀ + C₁e^−iαω + C₂e^−i2aω + ⋯ + C_ne^−inaω, where the C_i could be arbitrarily chosen as long as each was real. The synthesis procedure of this paper is a generalization of the procedure of Part I and allows for the realization of C(ω) having complex C_i. The resulting network consists of n stages between an input and output polarizer, with each stage containing a birefringent crystal and (achromatic) optical compensator. The form of this network is essentially the same as the practical form of the network obtained from Part I, and hence the additional versatility is obtained at no extra cost in network complexity.

© 1966 Optical Society of America

Optical Network Synthesis Using Birefringent Crystals.* I. Synthesis of Lossless Networks of Equal-Length Crystals

S. E. Harris, E. O. Ammann, and I. C. Chang
J. Opt. Soc. Am. 54(10) 1267-1279 (1964)

Optical Network Synthesis Using Birefringent Crystals. III. Some General Properties of Lossless Birefringent Networks*

E. O. Ammann
J. Opt. Soc. Am. 56(7) 943-951 (1966)

Optical Network Synthesis using Birefringent Crystals. II. Synthesis of Networks Containing One Crystal, Optical Compensator, and Polarizer per Stage*

E. O. Ammann and I. C. Chang
J. Opt. Soc. Am. 55(7) 835-841 (1965)

Optical Network Synthesis Using Birefringent Crystals. IV. Synthesis of Lossless Double-Pass Networks*

E. O. Ammann
J. Opt. Soc. Am. 56(7) 952-955 (1966)

Optical Network Synthesis Using Birefringent Crystals. VI. Additional Techniques for the Synthesis of Lossless Double-Pass Networks

E. O. Ammann and J. M. Yarborough
J. Opt. Soc. Am. 57(3) 349-353 (1967)