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Method of forming planar optical waveguides

  • US 3,934,061 A
  • Filed: 07/18/1973
  • Issued: 01/20/1976
  • Est. Priority Date: 03/30/1972
  • Status: Expired due to Term
First Claim
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1. A method of forming a planar optical waveguide for light propagation comprising the steps of:

  • providing a substantially flat glass substrate having a predetermined desired index of refraction,applying a first coating of glass having an index of refraction greater than that of said glass substrate to at least a portion of one flat surface of said substrate to thereby form a film thereon, said first coating of glass having an outer exposed surface substantially parallel to said one flat surface of said substrate, the thickness of said first coating being defined by said surfaces, the width of said first coating being the dimension perpendicular to both said thickness and the light propagation axis of said first coating, andapplying a second coating of glass having an index of refraction less than that of said first coating of glass over at least said outer exposed surface of said first coating of glass to thereby form a film thereon, the thickness of said first coating of glass for any desired finite width thereof being equal to or less than the thickness a of a coating having an infinite width, thickness a being determined in accordance with one of the following equationsfor TMOm modes where m is an even integer ##EQU13## for TMOm modes where m is an odd integer ##EQU14## for TEOm modes where m is an even integer ##EQU15## for TEOm modes where m is an odd integer ##EQU16## where m ≦

    10 and is the highest mode order to be propagated within a waveguide the first coating of which has a thickness a and an infinite width, λ

    is the wavelength of light to be propagated within said waveguide the first coating of which has a thickness a and an infinite width, n2 is the index of refraction of said first coating, and one of n1 and n3 being the index of refraction of said substrate while the other of n1 and n3 being the index of refraction of said second coating of glass, said thickness of said first coating of glass being so determinable where the propagation constant of said waveguide is equal to or less than K1, where K1 is greater than K3, where
    
    
    space="preserve" listing-type="equation">K.sub.1 = 2π

    n.sub.1 /λ

    ,and
    
    
    space="preserve" listing-type="equation">K.sub.3 = 2π

    n.sub.3 /λ

    the thickness of each said substrate and said second coating of glass being at least about two times the thickness of said first coating of glass.

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