Dear Rajaji

Please have a look on the Book ''Optical Properties of Solids by Manual Fox''

Everything will be there, including dependence of optical properties on frequency dependent dielectric constant !

Thank you !

The skin depth depend on the conductivity and frequancy of the incident wave nearly proportional with wavelengh and inversily with root squar of frequancy with aconstant.

Dear Rajaji,

Generally, the optical penetration depth is given by the reciprocal value of the (frequency- or wavelength-dependent) absorption coefficient alpha. For instance, this value amounts to 8.35e+5 1/cm for silver at 588 nm (see webpage "refractiveindex.info"), the optical penetration depth is thus 1.2e-6 cm.

Best regards,

Chritoph

As Dr. Gerhard said, absorption coefficient is the best parameter for determining penetration depth. This can only be used for the photons of single wavelength/frequency. Any light may have a mix of range of frequencies and getting definite answers for penetration depth of such light rays are difficult. You may also consider the factors of surface absorption and volume absorption.

Thank you all ( A K Sivadasan , Sahib Abdulwahid , Christoph Gerhard and Shashi Prakash ) for your valuable discussion.

Dear Rajaji,

From electromagnetic theory the skin depth is given by

delta = 1/ (pi * conductivity*frequency*permeability)

For non magnetic material permeability can taken as u0 (8.85 * 10^ -12)

For more details visit NPTEL lecture http://nptel.ac.in/courses/108104087/54

explains beautifully the concept

Thank you Arun for the useful information.

There is an error kindly rectify,

the permeability is 4*pi*10^-7 instead of value I mentioned in the previous message

Sorry for the mistake

Arun, your formula is incorrect.

it should be inverse of SQUARE_ROOT(πυσμ)

Penetrating capacity of light waves increases as frequency increases; and penetrating capacity of radio waves (or cell phone waves) increases as frequency decreases. This is applicable even for skin. See end of the reference: https://b-ok.cc/book/3630085/dd3a30

for condecters the attenuaation length (skin depth) is inversly proportinal with root squar frequancy ,permeability and conductivity of materal.